Nancy Nichols
Areas of interest
- Numerical solution of differential equations
- Boundary value problems and singular perturbations
- Numerical linear algebra
- Robust control system design
- Applications of optimal control theory
- Data assimilation
Research centres and groups
Websites/blogs
Publications
-
Wells, C.
ORCID: 0000-0001-9438-4954
,
Williams, P.
ORCID: 0000-0002-9713-9820
,
Nichols, N.
ORCID: 0000-0003-1133-5220
,
Kalise, D.
,
Poll, I.
(2023)
Minimising emissions from flights through realistic wind fields with varying aircraft weights.
Transportation Research Part D: Transport and Environment
, 117
ISSN:
1361-9209
|
doi:
https://dx.doi.org/10.1016/j.trd.2023.103660
-
Di Mauro, C.
,
Hostache, R.
,
Matgen, P.
,
Pelich, R.
,
Chini, M.
,
Van Leeuwen, P.
,
Nichols, N.
ORCID: 0000-0003-1133-5220
,
Blöschl, G.
(2022)
A tempered particle filter to enhance the assimilation of
SAR-derived flood extent maps into flood forecasting
models.
Water Resources Research
, 58
(8).
ISSN:
1944-7973
|
doi:
https://dx.doi.org/10.1029/2022WR031940
-
Leung, T.
ORCID: 0000-0003-0056-284X
,
Lawless, A.
,
Nichols, N.
ORCID: 0000-0003-1133-5220
,
Lea, D.
,
Martin, M.
(2022)
The impact of hybrid oceanic data assimilation in a coupled model: a case study of a tropical cyclone.
Quarterly Journal of the Royal Meteorological Society
, 148
(746).
pp.
2410-2430.
ISSN:
0035-9009
|
doi:
https://dx.doi.org/10.1002/qj.4309
-
Wells, C.
,
Kalise, D.
,
Nichols, N.
ORCID: 0000-0003-1133-5220
,
Poll, I.
,
Williams, P.
ORCID: 0000-0002-9713-9820
(2022)
The role of airspeed variability in fixed-time, fuel-optimal aircraft trajectory planning.
Optimization and Engineering
ISSN:
1389-4420
|
doi:
https://dx.doi.org/10.1007/s11081-022-09720-9
-
Di Mauro, C.
ORCID: 0000-0003-4026-6850
,
Hostache, R.
ORCID: 0000-0002-8109-6010
,
Matgen, P.
,
Pelich, R.
,
Chini, M.
,
Van Leeuwen, P.
ORCID: 0000-0003-2325-5340
,
Nichols, N.
ORCID: 0000-0003-1133-5220
,
Blöschl, G.
ORCID: 0000-0003-2227-8225
(2021)
Assimilation of probabilistic flood maps from SAR data into a coupled hydrologic–hydraulic forecasting model: a proof of concept.
Hydrology and Earth System Sciences
, 25
(7).
pp.
4081-4097.
ISSN:
1027-5606
|
doi:
https://dx.doi.org/10.5194/hess-25-4081-2021
-
Tabeart, J.
,
Dance, S.
ORCID: 0000-0003-1690-3338
,
Lawless, A.
,
Nichols, N.
ORCID: 0000-0003-1133-5220
,
Waller, J.
(2021)
New bounds on the condition number of the Hessian of
the preconditioned variational data assimilation problem.
Numerical Linear Algebra with Applications
ISSN:
1099-1506
|
doi:
https://dx.doi.org/10.1002/nla.2405
-
Wells, C.
ORCID: 0000-0001-9438-4954
,
Williams, P.
ORCID: 0000-0002-9713-9820
,
Nichols, N.
ORCID: 0000-0003-1133-5220
,
Kalise, D.
ORCID: 0000-0003-2327-1957
,
Poll, I.
ORCID: 0000-0001-8057-8467
(2021)
Reducing transatlantic flight emissions by fuel-optimised routing.
Environmental Research Letters
, 16
(2).
ISSN:
1748-9326
|
doi:
https://dx.doi.org/10.1088/1748-9326/abce82
- Smith, P. , Lawless, A. , Nichols, N. (2020) The role of cross-domain error correlations in strongly coupled 4D-Var atmosphere-ocean data assimilation. Quarterly Journal of the Royal Meteorological Society , 146 (730). pp. 2450-2465. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.3802
- Tabeart, J. , Dance, S. , Lawless, A. , Migliorini, S. , Nichols, N. , Smith, F. , Waller, J. (2020) The impact of using reconditioned correlated observation error covariance matrices in the Met office 1D-Var system. Quarterly Journal of the Royal Meteorological Society , 146 (728). pp. 1372-1390. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.3741
- Cleator, S. , Harrison, S. , Nichols, N. , Prentice, I. , Roulstone, I. (2020) A new multivariable benchmark for Last Glacial Maximum climate simulations. Climate of the Past , 16 pp. 699-712. ISSN: 1814-9324 | doi: https://dx.doi.org/10.5194/cp-16-699-2020
- Tabeart, J. , Dance, S. , Lawless, A. , Nichols, N. , Waller, J. (2020) Improving the condition number of estimated covariance matrices. Tellus A: Dynamic Meteorology & Oceanography , 72 (1). pp. 1-19. ISSN: 1600-0870 | doi: https://dx.doi.org/10.1080/16000870.2019.1696646
- Cleator, S. , Harrison, S. , Nichols, N. , Prentice, I. , Roulstone, I. (2020) A method for generating coherent spatially explicit maps of seasonal palaeoclimates from site-based reconstructions. Journal of Advances in Modeling Earth Systems , 12 (1). ISSN: 1942-2466 | doi: https://dx.doi.org/10.1029/2019MS001630
- Zobitz, J. , Quaife, T. , Nichols, N. (2020) Efficient hyper-parameter determination for regularised linear BRDF parameter retrieval. International Journal of Remote Sensing , 41 (4). pp. 1437-1457. ISSN: 1366-5901 | doi: https://dx.doi.org/10.1080/01431161.2019.1667552
- Waller, J. , Bauernschubert, E. , Dance, S. , Nichols, N. , Potthast, R. , Simonin, D. (2019) Observation error statistics for Doppler radar radial wind superobservations assimilated into the DWD COSMO-KENDA system. Monthly Weather Review , 147 pp. 3351-3364. ISSN: 0027-0644 | doi: https://dx.doi.org/10.1175/MWR-D-19-0104.1
- Simonin, D. , Waller, J. , Ballard, S. , Dance, S. , Nichols, N. (2019) A pragmatic strategy for implementing spatially correlated observation errors in an operational system: an application to Doppler radial winds. Quarterly Journal of the Royal Meteorological Society , 145 (723). pp. 2772-2790. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.3592
- Dance, S. , Ballard, S. , Bannister, R. , Clark, P. , Cloke, H. , Darlington, T. , Flack, D. , Gray, S. , Hawkness-Smith, L. , Husnoo, N. , Illingworth, A. , Kelly, G. , Lean, H. , Li, D. , Nichols, N. , Nicol, J. , Oxley, A. , Plant, R. , Roberts, N. , Roulstone, I. , Simonin, D. , Thompson, R. , Waller, J. (2019) Improvements in forecasting intense rainfall: results from the FRANC (forecasting rainfall exploiting new data assimilation techniques and novel observations of convection) project. Atmosphere , 10 (3). ISSN: 2073-4433 | doi: https://dx.doi.org/10.3390/atmos10030125
- Cooper, E. , Dance, S. , Garcia-Pintado, J. , Nichols, N. , Smith, P. (2019) Observation operators for assimilation of satellite observations in fluvial inundation forecasting. Hydrology and Earth System Sciences , 23 pp. 2541-2559. ISSN: 1027-5606 | doi: https://dx.doi.org/10.5194/hess-23-2541-2019
- Waller, J. , Garcia-Pintado, J. , Mason, D. , Dance, S. , Nichols, N. (2018) Technical note: assessment of observation quality for data assimilation in flood models. Hydrology and Earth System Sciences , 22 pp. 3983-3992. ISSN: 1027-5606 | doi: https://dx.doi.org/10.5194/hess-22-3983-2018
- Cooper, E. , Dance, S. , Garcia-Pintado, J. , Nichols, N. , Smith, P. (2018) Observation impact, domain length and parameter estimation in data assimilation for flood forecasting. Environmental Modelling and Software , 104 pp. 199-214. ISSN: 1364-8152 | doi: https://dx.doi.org/10.1016/j.envsoft.2018.03.013
- Tabeart, J. , Dance, S. , Haben, S. , Lawless, A. , Nichols, N. , Waller, J. (2018) The conditioning of least squares problems in variational data assimilation. Numerical Linear Algebra with Applications , 25 (5). ISSN: 1099-1506 | doi: https://dx.doi.org/10.1002/nla.2165
- Smith, P. , Lawless, A. , Nichols, N. (2018) Treating sample covariances for use in strongly coupled atmosphere-ocean data assimilation. Geophysical Research Letters , 45 (1). pp. 445-454. ISSN: 0094-8276 | doi: https://dx.doi.org/10.1002/2017gl075534
- Janjic, T. , Bormann, N. , Bocquet, M. , Carton, J. , Cohn, S. , Dance, S. , Losa, S. , Nichols, N. , Potthast, R. , Waller, J. , Weston, P. (2018) On the representation error in data assimilation. Quarterly Journal of the Royal Meteorological Society , 144 (713). pp. 1257-1278. ISSN: 0035-9009 | doi: https://dx.doi.org/10.1002/qj.3130
- Smith, P. , Lawless, A. , Nichols, N. (2017) Estimating forecast error covariances for strongly coupled atmosphere-ocean 4D-Var data assimilation. Monthly Weather Review , 145 (10). pp. 4011-4035. ISSN: 0027-0644 | doi: https://dx.doi.org/10.1175/MWR-D-16-0284.1
- Waller, J. , Dance, S. , Nichols, N. (2017) On diagnosing observation error statistics with local ensemble data assimilation. Quarterly Journal of the Royal Meteorological Society , 143 (708). pp. 2677-2686. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.3117
- Delahaies, S. , Roulstone, I. , Nichols, N. (2017) Constraining DALECv2 using multiple data streams and ecological constraints: analysis and application. Geoscientific Model Development , 10 (7). pp. 2635-2650. ISSN: 1991-9603 | doi: https://dx.doi.org/10.5194/gmd-10-2635-2017
- Pinnington, E. , Casella, E. , Dance, S. , Lawless, A. , Morison, J. , Nichols, N. , Wilkinson, M. , Quaife, T. (2017) Understanding the effect of disturbance from selective felling on the carbon dynamics of a managed woodland by combining observations with model predictions. JGR-Biogeosciences , 122 (4). pp. 886-902. ISSN: 2169-8961 | doi: https://dx.doi.org/10.1002/2017JG003760
- Cordoba, M. , Dance, S. , Kelly, G. , Nichols, N. , Waller, J. (2017) Diagnosing atmospheric motion vector observation errors for an operational high resolution data assimilation system. Quarterly Journal of the Royal Meteorological Society , 143 (702). pp. 333-341. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.2925
- Bonan, B. , Nichols, N. , Baines, M. , Partridge, D. (2017) Data assimilation for moving mesh methods with an application to ice sheet modelling. Nonlinear Processes in Geophysics , 24 (3). pp. 515-534. ISSN: 1023-5809 | doi: https://dx.doi.org/10.5194/npg-24-515-2017
- Volpi, D. , Guemas, V. , Doblas-Reyes, F. , Hawkins, E. , Nichols, N. (2017) Decadal climate prediction with a refined anomaly initialisation approach. Climate Dynamics , 48 (5). pp. 1841-1853. ISSN: 1432-0894 | doi: https://dx.doi.org/10.1007/s00382-016-3176-6
- Nichols, N. (2016) Correlated observations in data assimilation. Mathematical and Algorithmic Aspects of Data Assimilation in the Geosciences. , 47/2016. Mathematisches Forschungsinstitut , Oberwolfach Germany. pp. 35-37. | doi: https://dx.doi.org/10.4171/OWR/2016/47
- Pinnington, E. , Casella, E. , Dance, S. , Lawless, A. , Morison, J. , Nichols, N. , Wilkinson, M. , Quaife, T. (2016) Investigating the role of prior and observation error correlations in improving a model forecast of forest carbon balance using Four Dimensional Variational data assimilation. Agricultural and Forest Meteorology , 228-229 pp. 299-314. ISSN: 0168-1923 | doi: https://dx.doi.org/10.1016/j.agrformet.2016.07.006
- Waller, J. , Ballard, S. , Dance, S. , Kelly, G. , Nichols, N. , Simonin, D. (2016) Diagnosing horizontal and inter-channel observation error correlations for SEVIRI observations using observation-minus-background and observation-minus-analysis statistics. Remote Sensing , 8 (7). ISSN: 2072-4292 | doi: https://dx.doi.org/10.3390/rs8070581
- Waller, J. , Simonin, D. , Dance, S. , Nichols, N. , Ballard, S. (2016) Diagnosing observation error correlations for Doppler radar radial winds in the Met Office UKV model using observation-minus-background and observation-minus-analysis statistics. Monthly Weather Review , 144 (10). pp. 3533-3551. ISSN: 0027-0644 | doi: https://dx.doi.org/10.1175/MWR-D-15-0340.1
- Bonan, B. , Baines, M. , Nichols, N. , Partridge, D. (2016) A moving-point approach to model shallow ice sheets: a study case with radially symmetrical ice sheets. The Cryosphere , 10 (1). pp. 1-14. ISSN: 1994-0424 | doi: https://dx.doi.org/10.5194/tc-10-1-2016
- Bell, M. , Nichols, N. , Martin, M. (2016) Application of data assimilation to ocean and climate prediction. In: Aston, P. , Mulholland, T. , Tant, K. , (eds.) UK Success Stories in Industrial Mathematics. Springer International Publishing AG , Switzerland. pp. 3-10. ISBN: 9783319254524 | doi: https://dx.doi.org/10.1007/978-3-319-25454-8
- Waller, J. , Dance, S. , Nichols, N. (2016) Theoretical insight into diagnosing observation error correlations using observation-minus-background and observation-minus-analysis statistics. Quarterly Journal of the Royal Meteorological Society , 142 (694). pp. 418-431. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.2661
- Nichols, N. and Hodyss, D. (2015) Understanding the error of representation. National Aeronautics and Space Administration (gmao.gsfc.nasa.gov)
- Bonan, B. , Baines, M. , Nichols, N. , Partridge, D. (2015) A moving point approach to model shallow ice sheets: a study case with radially-symmetrical ice sheets. The Cryosphere Discussions , 9 (4). pp. 4237-4270. ISSN: 1994-0432 | doi: https://dx.doi.org/10.5194/tcd-9-4237-2015
- Nichols, N. and Chu, D. (2015) Regularization of descriptor systems. Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory. Springer International Publishing , Switzerland. pp. 415-433. ISBN: 9783319152592 | doi: https://dx.doi.org/10.1007/978-3-319-15260-8_15
- Hodyss, D. and Nichols, N. (2015) The error of representation: basic understanding. Tellus A , 67 ISSN: 1600-0870 | doi: https://dx.doi.org/10.3402/tellusa.v67.24822
- Haben, S. , Lawless, A. , Nichols, N. (2014) Conditioning and preconditioning of the optimal state estimation problem. Dept of Mathematics & Statistics, University of Reading (2014-08). pp 21.
- Smith, P. , Dance, S. , Nichols, N. (2014) A joint state and parameter estimation scheme for nonlinear dynamical systems. Dept of Mathematics & Statistics, University of Reading pp 24.
- Waller, J. , Dance, S. , Lawless, A. , Nichols, N. (2014) Estimating correlated observation error statistics using an ensemble transform Kalman filter. Tellus A , 66 ISSN: 1600-0870 | doi: https://dx.doi.org/10.3402/tellusa.v66.23294
- Waller, J. , Dance, S. , Lawless, A. , Nichols, N. , Eyre, J. (2014) Representativity error for temperature and humidity using the Met Office high-resolution model. Quarterly Journal of the Royal Meteorological Society , 140 (681). pp. 1189-1197. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.2207
- Stewart, L. , Dance, S. , Nichols, N. , Eyre, J. , Cameron, J. (2014) Estimating interchannel observation-error correlations for IASI radiance data in the Met Office system. Quarterly Journal of the Royal Meteorological Society , 140 (681). pp. 1236-1244. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.2211
- Stewart, L. , Dance, S. , Nichols, N. (2013) Data assimilation with correlated observation errors: experiments with a 1-D shallow water model. Tellus A , 65 ISSN: 1600-0870 | doi: https://dx.doi.org/10.3402/tellusa.v65i0.19546
- Freitag, M. , Nichols, N. , Budd, C. (2013) Resolution of sharp fronts in the presence of model error in variational data assimilation. Quarterly Journal of the Royal Meteorological Society , 139 (672). pp. 742-757. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.2002
- Smith, P. , Thornhill, G. , Dance, S. , Lawless, A. , Mason, D. , Nichols, N. (2013) Data assimilation for state and parameter estimation: application to morphodynamic modelling. Quarterly Journal of the Royal Meteorological Society , 139 (671 Part B). pp. 314-327. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.1944
- Thornhill, G. , Mason, D. , Dance, S. , Lawless, A. , Nichols, N. , Forbes, H. (2012) Integration of a 3D Variational data assimilation scheme with a coastal area morphodynamic model of Morecambe Bay. Coastal Engineering , 69 pp. 82-96. ISSN: 0378-3839 | doi: https://dx.doi.org/10.1016/j.coastaleng.2012.05.010
- Vetra-Carvalho, S. , Dixon, M. , Migliorini, S. , Nichols, N. , Ballard, S. (2012) Breakdown of hydrostatic balance at convective scales in the forecast errors in the Met Office Unified Model. Quarterly Journal of the Royal Meteorological Society , 138 (668). pp. 1709-1720. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.1925
- Budd, C. , Freitag, M. , Nichols, N. (2011) Regularization techniques for ill-posed inverse problems in data assimilation. Computers & Fluids , 46 (1). pp. 168-173. ISSN: 0045-7930 | doi: https://dx.doi.org/10.1016/j.compfluid.2010.10.002
- Vetra-Carvalho, S. , Migliorini, S. , Nichols, N. (2011) Ensemble data assimilation in the presence of cloud. Computers & Fluids , 46 (1). pp. 493-497. ISSN: 0045-7930 | doi: https://dx.doi.org/10.1016/j.compfluid.2011.01.033
- Haben, S. , Lawless, A. , Nichols, N. (2011) Conditioning and preconditioning of the variational data assimilation problem. Computers & Fluids , 46 (1). pp. 252-256. ISSN: 0045-7930 | doi: https://dx.doi.org/10.1016/j.compfluid.2010.11.025
- Boess, C. , Lawless, A. , Nichols, N. , Bunse-Gerstner, A. (2011) State estimation using model order reduction for unstable systems. Computers & Fluids , 46 (1). pp. 155-160. ISSN: 0045-7930 | doi: https://dx.doi.org/10.1016/j.compfluid.2010.11.033
- Haben, S. , Lawless, A. , Nichols, N. (2011) Conditioning of incremental variational data assimilation, with application to the Met Office system. Tellus Series A: Dynamic Meteorology and Oceanography , 63 (4). pp. 782-792. ISSN: 1600-0870 | doi: https://dx.doi.org/10.1111/j.1600-0870.2011.00527.x
- Katz, D. , Lawless, A. , Nichols, N. , Cullen, M. , Bannister, R. (2011) Correlations of control variables in variational data assimilation. Quarterly Journal of the Royal Meteorological Society , 137 (656). pp. 620-630. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.798 (Part A)
- Smith, P. , Dance, S. , Nichols, N. (2011) A hybrid data assimilation scheme for model parameter estimation: application to morphodynamic modelling. Computers & Fluids , 46 (1). pp. 436-441. ISSN: 0045-7930 | doi: https://dx.doi.org/10.1016/j.compfluid.2011.01.010
- Baxter, G. , Dance, S. , Lawless, A. , Nichols, N. (2011) Four-dimensional variational data assimilation for high resolution nested models. Computers & Fluids , 46 (1). pp. 137-141. ISSN: 0045-7930 | doi: https://dx.doi.org/10.1016/j.compfluid.2011.01.023
- Freitag, M. , Nichols, N. , Budd, C. (2010) L1-regularisation for ill-posed problems in variational data assimilation. PAMM - Proceedings in Applied Mathematics and Mechanics , 10 (1). pp. 665-668. ISSN: 1617-7061 | doi: https://dx.doi.org/10.1002/pamm.201010324
- Dance, S. , Baines, M. , Lawless, A. , Mason, D. , Nichols, N. , Scott, T. , Sweby, P. , Smith, P. , Thornhill, G. (2010) Use of data assimilation methods in coastal sediment models.
- Thornhill, G. , Scott, T. , Dance, S. , Mason, D. , Nichols, N. , Baines, M. , Horsburgh, K. , Sweby, P. (2010) Data assimilation and morphodynamic modelling of Morecambe Bay.
- Nichols, N. (2010) Mathematical concepts of data assimilation. In: Lahoz, W. , Khattatov, B. , Menard, R. , (eds.) Data assimilation: making sense of observations. Springer pp. 13-40. ISBN: 9783540747024
- Thornhill, G. , Scott, T. , Smith , P. , Dance, S. , Mason, D. , Nichols, N. , Baines, M. , Horsburgh, K. , Sweby, P. , Lawless, A. (2009) Progress on “Changing coastlines: data assimilation for morphodynamic prediction and predictability”.
- Smith, P. , Dance, S. , Nichols, N. (2009) Data assimilation for morphodynamic model parameter estimation: a hybrid approach. University of Reading, Department of Mathematics (2/2009).
- Stewart, L. , Cameron, J. , Dance, S. , English , S. , Eyre, J. , Nichols, N. (2009) Observation error correlations in IASI radiance data. University of Reading, Department of Mathematics (1/2009).
- Nichols, N. , Baxter, G. , Dance, S. , Lawless, A. (2009) Issues in high resolution data assimilation.
- Dance, S. , Butala, M. , Nichols, N. , Petrie, R. (2009) Stability and localization in the ensemble square root filter.
- Stewart, L. , Cameron, J. , Dance, S. , English, S. , Eyre, J. , Nichols, N. (2009) Quantifying observation error correlations in remotely sensed data.
- Smith, P. , Dance, S. , Baines, M. , Nichols, N. , Scott, T. (2009) Variational data assimilation for morphodynamic model parameter estimation.
- Smith, P. , Dance, S. , Baines, M. , Nichols, N. , Scott, T. (2009) Variational data assimilation for morphodynamic model parameter estimation.
- Stewart, L. , Cameron, J. , Dance, S. , English, S. , Eyre, J. , Nichols, N. (2009) Quantifying observation error correlations in remotely sensed data.
- Smith, P. , Dance, S. , Baines, M. , Nichols, N. , Scott, T. (2009) Variational data assimilation for parameter estimation: application to a simple morphodynamic model. Ocean Dynamics , 59 (5). pp. 697-708. ISSN: 1616-7341 | doi: https://dx.doi.org/10.1007/s10236-009-0205-6
- Pimentel, S. , Haines, K. , Nichols, N. (2008) The Assimilation of Satellite Derived Sea Surface Temperatures into a Diurnal Cycle Model. Journal of Geophysical Research , 113 (C9). pp. C09013. ISSN: 0148-0227 | doi: https://dx.doi.org/10.1029/2007JC004608
- Stewart, L. , Dance, S. , Nichols, N. (2008) Correlated observation errors in data assimilation. International Journal for Numerical Methods in Fluids , 56 (8). pp. 1521-1527. ISSN: 0271-2091 | doi: https://dx.doi.org/10.1002/fld.1636
- Lawless, A. , Nichols, N. , Boess, C. , Bunse-Gerstner, A. (2008) Approximate Gauss-Newton Methods for optimal state estimation using reduced-order models. International Journal for Numerical Methods in Fluids , 56 (8). pp. 1367 -1373. ISSN: 0271-2091 | doi: https://dx.doi.org/10.1002/fld.1629
- Livings, D. , Dance, S. , Nichols, N. (2008) Unbiased Ensemble Square Root Filters. Physica D: Nonlinear Phenomena , 237 (8). pp. 1021-1028. ISSN: 0167-2789 | doi: https://dx.doi.org/10.1016/j.physd.2008.01.005
- Lawless, A. , Nichols, N. , Boess, C. , Bunse-Gerstner, A. (2008) Using model reduction methods within incremental four-dimensional variational data assimilation. Monthly Weather Review , 136 (4). pp. 1511-1522. ISSN: 0027-0644 | doi: https://dx.doi.org/10.1175/2007MWR2103.1
- Pimentel, S. , Haines, K. , Nichols, N. (2008) Modeling the diurnal variability of sea surface temperatures. Journal of Geophysical Research , 113 (C11). pp. C11004. ISSN: 0148-0227 | doi: https://dx.doi.org/10.1029/2007JC004607
- Scott, T. , Smith, P. , Dance, S. , Mason, D. , Baines, M. , Nichols, N. , Horsburgh, K. , Sweby, P. , Lawless, A. (2008) Data assimilation for morphodynamic prediction and predictability. Coastal Engineering 2008 Proceedings of the 31st International Conference. , 3. World Scientific pp. 2386-2398. | doi: https://dx.doi.org/10.1142/9789814277426_0197
- Bannister, R. , Katz, D. , Cullen, M. , Lawless, A. , Nichols, N. (2008) Modelling of forecast errors in geophysical fluid flows. International Journal for Numerical Methods in Fluids , 56 (8). pp. 1147-1153. ISSN: 0271-2091 | doi: https://dx.doi.org/10.1002/fld.1618
- Roulstone, I. , Nichols, N. , Wlasak, M. , Fletcher, S. (2007) Flow dependent transforms.
- Nichols, N. (2007) Overview: Data assimilation and model reduction. PAMM - Proceedings in Applied Mathematics and Mechanics , 7 pp. 1026501-1056502. ISSN: 1617-7061 | doi: https://dx.doi.org/10.1002/pamm.200700006
- Dance, S. , Livings, D. , Nichols, N. (2007) Unbiased ensemble square root filters. PAMM - Proceedings in Applied Mathematics and Mechanics , 7 (1). pp. 1026505-1026506. ISSN: 1617-7061 | doi: https://dx.doi.org/10.1002/pamm.200700603
- Scott, T. , Smith, P. , Dance, S. , Mason, D. , Nichols, N. , Baines, M. , Horsburgh, K. , Sweby, P. , Lawless, A. (2007) Progress on Changing coastlines: data assimilation for morphodynamic prediction and predictability.
- Stewart, L. , Dance, S. , Nichols, N. (2007) Correlated observation errors in data assimilation. Proceedings of the Ninth International ICFD Conference on Numerical Methods for Fluid Dynamics, March 26 – 29, 2007. ICFD , Reading.
- Bannister, R. , Katz, D. , Cullen, M. , Lawless, A. , Nichols, N. (2007) Modelling of forecast errors in geophysical fluid flows. Proceedings of the Ninth International ICFD Conference on Numerical Methods for Fluid Dynamics, March 26 – 29, 2007. ICFD , Reading.
- Lawless, A. , Nichols, N. , Boess, C. , Bunse-Gerstner, A. (2007) Approximate Gauss-Newton methods using reduced order models. Proceedings of the Ninth International ICFD Conference on Numerical Methods for Fluid Dynamics, March 26 – 29, 2007. ICFD , Reading.
- Baxter, G. , Dance, S. , Lawless, A. , Nichols, N. , Ballard, S. (2007) Towards Multi-scale Data Assimilation for High Resolution Nested Models. Proceedings of the Ninth International ICFD Conference on Numerical Methods for Fluid Dynamics, March 26 – 29, 2007. ICFD , Reading.
- Watkinson, L. , Lawless, A. , Nichols, N. , Roulstone, I. (2007) Weak constraints in four-dimensional variational data assimilation. Meteorologische Zeitschrift , 16 (6). pp. 767-776. | doi: https://dx.doi.org/10.1127/0941-2948/2007/0249
- Gratton, S. , Lawless, A. , Nichols, N. (2007) Approximate Gauss-Newton methods for nonlinear least squares problems. SIAM Journal on Optimization (SIOPT) , 18 (1). pp. 106-132. ISSN: 1052-6234 | doi: DOI:10.1137/050624935
- Lawless, A. , Gratton, S. , Nichols, N. (2006) An investigation of the convergence of incremental 4D-Var.
- Johnson, C. , Nichols, N. , Hoskins, B. (2006) A singular vector perspective of 4D-Var.
- Frame, T. , Nichols, N. , Thorpe, A. (2006) Targeting observations using singular vectors.
- Lawless, A. and Nichols, N. (2006) Inner loop stopping criteria for incremental four-dimensional variational data assimilation. Monthly Weather Review , 134 pp. 3425-3435.
- Johnson, C. , Hoskins, B. , Nichols, N. , Ballard, S. (2006) A singular vector perspective of 4DVAR: The spatial structure and evolution of baroclinic weather systems. Monthly Weather Review , 134 (11). pp. 3436-3455. ISSN: 0027-0644 | doi: https://dx.doi.org/10.1175/MWR3243.1
- Wlasak, M. , Nichols, N. , Roulstone, I. (2006) Use of potential vorticity for incremental data assimilation. Quarterly Journal of the Royal Meteorological Society , 132 pp. 2867-2886. ISSN: 1477-870X | doi: https://dx.doi.org/10.1256/qj.06.02
- Penfold, R. , Nordholm, S. , Nichols, N. (2005) A simple analysis of thermodynamic properties for classical plasmas: I. theory. Journal of Statistical Mechanics: Theory and Experiment , 2005 ISSN: 1742-5468 | doi: https://dx.doi.org/10.1088/1742-5468/2005/06/P06009
- Johnson, C. , Hoskins, B. , Nichols, N. (2005) A singular vector perspective of 4D-Var: Filtering and interpolation. Quarterly Journal of the Royal Meteorological Society , 131 (605). pp. 1-19. ISSN: 1477-870X | doi: https://dx.doi.org/10.1256/qj.03.231
- Lawless, A. , Gratton, S. , Nichols, N. (2005) An investigation of incremental 4D-Var using non-tangent linear models. Quarterly Journal of the Royal Meteorological Society , 131 (606). pp. 459-476. ISSN: 1477-870X
- Johnson, C. , Nichols, N. , Hoskins, B. (2005) Very large inverse problems in atmosphere and ocean modelling. International Journal for Numerical Methods in Fluids , 47 (8-9). pp. 759-771. ISSN: 0271-2091 | doi: https://dx.doi.org/10.1002/fld.869
- Frame, T. , Nichols, N. , Thorpe, A. (2005) Structure and evolution of singular vectors in the Eady model. International Journal For Numerical Methods In Fluids , 47 (8-9). pp. 1003-1009.
- Lawless, A. , Gratton, S. , Nichols, N. (2005) Approximate iterative methods for variational data assimilation. International Journal For Numerical Methods In Fluids , 47 (10-11). pp. 1129-1135.
- Brown, D. , Nichols, N. , Bell, M. (2005) Preconditioners for inhomogeneous anisotropic problems in spherical geometry. International Journal For Numerical Methods In Fluids , 47 (10-11). pp. 1213-1219.
- Watkinson, L. , Lawless, A. , Nichols, N. , Roulstone, I. (2005) Variational data assimilation for Hamiltonian problems. International Journal For Numerical Methods In Fluids , 47 (10-11). pp. 1361-1367.
- Brown, D. , Nichols, N. , Bell, M. (2004) Preconditioners for inhomogeneous anisotropic problems in spherical geometry. ICFD
- Frame, T. , Nichols, N. , Thorpe, A. (2004) Sensitivity to initial conditions in numerical weather prediction. ICFD
- Johnson, C. , Nichols, N. , Hoskins, B. (2004) Very large inverse problems in atmosphere and ocean modelling. ICFD
- Lawless, A. , Gratton, S. , Nichols, N. (2004) Approximate iterative methods for variational data assimilation. ICFD
- Stanton, L. , Lawless, A. , Nichols, N. , Roulstone, I. (2004) Variational data assimilation for Hamiltonian problems. ICFD
- Lemos, A. , Baines, M. , Nichols, N. (2004) Upwind solution of singular differential equations arising from steady channel flows. Computers & Fluids , 33 (5-6). pp. 821-827. ISSN: 0045-7930 | doi: https://dx.doi.org/10.1016/j.compfluid.2003.06.004
- Huddleston, M. , Bell, M. , Martin, M. , Nichols, N. (2004) Assessment of wind-stress errors using bias corrected ocean data assimilation. Quarterly Journal of the Royal Meteorological Society , 130 (598). pp. 853-871. ISSN: 1477-870X
- Bell, M. , Martin, M. , Nichols, N. (2004) Assimilation of data into an ocean model with systematic errors near the equator. Quarterly Journal of the Royal Meteorological Society , 130 (598). pp. 873-893. ISSN: 1477-870X
- Lawless, A. , Nichols, N. , Ballard, S. (2003) A comparison of two methods for developing the linearization of a shallow-water model. Quarterly Journal of the Royal Meteorological Society , 129 (589). pp. 1237-1254. ISSN: 1477-870X | doi: https://dx.doi.org/10.1256/qj.02.75
- Lawless, A. and Nichols, N. (2003) The convergence of incremental 4D-Var using non-tangent linear models.. In: Cote, . , (eds.) Research activities in atmospheric and oceanic modelling. WMO CAS/JSG Working Group on Numerical Experimentation pp. 01-17 + 01-18.
- Nichols, N. (2003) Data Assimilation: Aims and Basic Concepts. In: Swinbank, . , (eds.) Data Assimilation for the Earth System. Kluwer Academic pp. 9-20.
- Nichols, N. (2003) Treating Model Error in 3-D and 4-D Data Assimilation.. In: Swinbank, . , Shutyaev, . , Lahoz, . , (eds.) Data Assimilation for the Earth System. Kluwer Academic pp. 127-135.
- Duan, G. , Nichols, N. , Liu, G. (2002) Robust pole assignment in descriptor linear systems via state feedback. European Journal of Control , 8 (2). pp. 136-149. ISSN: 0947-3580 | doi: https://dx.doi.org/10.3166/ejc.8.136-149
- Owen, T. , Duan, G. , Nichols, N. , Liu, G. (2002) Discussion on 'Robust pole assignment in descriptor linear systems via state feedback' by G.-R. Duan, N.K. Nichols and G.-P. Liu. European Journal of Control , 8 (2). pp. 150. ISSN: 0947-3580 | doi: https://dx.doi.org/10.3166/ejc.8.150-151
- Martin, M. , Bell, M. , Nichols, N. (2002) Estimation of systematic error in an equatorial ocean model using data assimilation. International Journal for Numerical Methods in Fluids , 40 (3-4). pp. 435-444. ISSN: 0271-2091 | doi: https://dx.doi.org/10.1002/fld.298
- Nichols, N. and Kautsky, J. (2001) Robust eigenstructure assignment in quadratic matrix polynomials: nonsingular case. SIAM Journal on Matrix Analysis and Applications , 23 (1). pp. 77-102. ISSN: 0895-4798 | doi: https://dx.doi.org/10.1137/S0895479899362867
- Lawless, A. , Nichols, N. , Reinmueller, K. , Ballard, S. (2000) A comparison of two methods for deriving the tangent linear model. Proceedings of the Third WMO International Symposium on Assimilation of Observations in Meteorology and Oceanography. WWRP Report Series No. 2, WMO/TD World Meteorological Organization (986). pp. 105-108.
- Nichols, N. (2000) Control strategies for maximizing power output from wave energy converters with turbine losses. Wave Power – Moving Towards Commercial Viability. Professional Engineering Publishing Ltd pp. 103-108.
- Griffith, A. , Martin, M. , Nichols, N. (2000) Techniques for treating systematic model error in 3D and 4D data assimilation. pp. 9-12.
- Nichols, N. (2000) Robust eigenstructure assignment in second-order control systems. pp. 1-6.
- Griffith, A. and Nichols, N. (2000) Adjoint methods in data assimilation for estimating model error . Flow, Turbulence and Combustion , 65 (3/4). pp. 469-488. ISSN: 1386-6184 | doi: https://dx.doi.org/10.1023/A:1011454109203
- Martin, M. and Nichols, N. (1999) Treatment of systematic errors in sequential data assimilation. UK Meteorological Office, Ocean Applications Division (21).
- Chu, D. , Mehrmann, V. , Nichols, N. (1999) Minimum norm regularization of descriptor systems by mixed output feedback. Linear Algebra and its Applications , 296 (1-3). pp. 39-77. ISSN: 0024-3795 | doi: https://dx.doi.org/10.1016/S0024-3795(99)00108-1
- Bunse-Gerstner, A. , Byers, R. , Mehrmann, V. , Nichols, N. (1999) Feedback design for regularizing descriptor systems. Linear Algebra and its Applications , 299 (1-3). pp. 119-151. ISSN: 0024-3795 | doi: https://dx.doi.org/10.1016/S0024-3795(99)00167-6
- Griffith, A. and Nichols, N. (1998) Adjoint methods for treating model error in data assimilation. Numerical Methods for Fluid Dynamics VI. ICFD , Oxford. pp. 335-344.
- Wlasak, M. and Nichols, N. (1998) Application of variational data assimilation to the Lorenz equations using the adjoint method. Numerical Methods for Fluid Dynamics VI. ICFD , Oxford. pp. 555-562.
- Gibson, L. , Nichols, N. , Littleboy, D. (1998) Bifurcation Analysis of Eigenstructure Assignment Control in a Simple Nonlinear Aircraft Model. Journal of Guidance, Control and Dynamics , 21 (5). pp. 792-798. ISSN: (printed) 0731-5090; (electronic) 1533-3884.
- Littleboy, D. and Nichols, N. (1998) Modal coupling in linear control systems using robust eigenstructure assignment. Linear Algebra and its Applications , 275-276 pp. 359-379. ISSN: 0024-3795 | doi: https://dx.doi.org/10.1016/S0024-3795(97)10053-2
- Gibson, L. , Nichols, N. , Littleboy, D. (1997) Closed loop design for a simple nonlinear aircraft model using eigenstructure assignment. pp. 746-754.
- Dainton, M. , Goldwater, M. , Nichols, N. (1997) Direct Computation of Stochastic Flow in Reservoirs with Uncertain Parameters. Journal of Computational Physics , 130 (2). pp. 203. ISSN: 0021-9991 | doi: https://dx.doi.org/10.1006/jcph.1996.5578
- MacDonald, I. , Baines, M. , Nichols, N. , Samuels, P. (1997) Analytic Benchmark Solutions for Open-Channel Flows. Journal of Hydraulic Engineering , 123 (11). pp. 1041. ISSN: 0733-9429 | doi: https://dx.doi.org/10.1061/(ASCE)0733-9429(1997)123:11(1041)
- Dainton, M. and Nichols, N. (1996) Two-phase flow in heterogeneous porous media with uncertain parameters. The University of Reading
- Nichols, N. and Crossley, A. (1996) Optimal Strategies for the Control of Wave Energy Converters with Various Power-Take-Off Mechanisms. The University of Reading pp 48. (Part of ... Off-Shore Wave Energy Converters - OWEC-1, Annex III: Float Systems and Mathematical Models, DG XII - JOULE II Project Report)
- Griffith, A. and Nichols, N. (1996) Accounting for Model Error in Data Assimilation using Adjoint Methods. In: Berz, M. , Bischof, C. , Corliss, G. , Griewank, A. , (eds.) Computational Differentiation: Techniques, Applications and Tools. SIAM: Society for Industrial and Applied Mathematics pp. 195-204.
- Nichols, N. and Crossley, A. (1996) Optimal control of wave energy devices with various power-take-off mechanisms. In: Chakrabarti, S. , Pontes, M. , Maeda, H. , Falzarano, J. , Schofield, P. , Atkins, W. , Morrison, D. , (eds.) Proceedings of the 15th International Conference on Offshore Mechanics and Arctic Engineering. , 1B. The American Society of Mechanical Engineers , New York. pp. 143-150.
- Mehrmann, V. and Nichols, N. (1995) Mixed Output Feedback for Descriptor Systems. TU-Chemnitz-Zwickau (95-33).
- MacDonald, I. , Baines, M. , Nichols, N. , Samuels, P. (1995) A new method for the computation of steady open channel trans-critical flow.
- Greenhow, M. and Nichols, N. (1994) The use of time-domain models for control of OWCs. The University of Reading pp 13. (Paper 4 of CEC DG XII JOULE Wave Energy Initiative: Wave Energy Converters - Generic Technical Evaluation Study: Annex Report B1 - Device Fundamentals/Hydrodynamics)
- Nichols, N. and Stringer, S. (1994) Observer design for descriptor systems with application to gas dynamical networks. In: Helmke, U. , Mennicken, R. , Saurer, J. , (eds.) Systems and Networks: Mathematical Theory and Applications. Akademie Verlag pp. 377-380.
- Dainton, M. , Goldwater, M. , Nichols, N. (1994) Direct solution of reservoir flow equations with uncertain parameters. pp. 1-15.
- Littleboy, D. and Nichols, N. (1994) Using eigenstructure assignment for modal decoupling in aircraft problems. In: Lewis, J. , (eds.) Applied Linear Algebra. SIAM: Society for Industrial and Applied Mathematics pp. 196-200.
- Pratt, R. , Faleiro, L. , Nichols, N. (1994) Longitudinal instrument landing system design using both eigenstructure assignment and classical techniques. Proceedings of IMC Symposium on Applications of Multivariable System Techniques. Institute of Measurement and Control pp. 11-22.
- Kautsky, J. , Nichols, N. , Van Dooren, P. (1994) Robust pole assignment in linear state feedback. In: Patel, R. , Laub, A. , Van Dooren, P. , (eds.) Numerical Linear Algebra Techniques for Systems and Control. IEEE Press pp. 333-356.
- Nichols, N. (1994) Differential-algebraic equations and control system design. In: Griffith, D. and Watson, G. , (eds.) Numerical Analysis - 1993. Longman Scientific and Technical pp. 208-224. ISBN: 978-047023385-6
- Neylon, K. , Baines, M. , Nichols, N. (1994) Bi-CGSTAB for advection dominated problems. In: Lewis, J. , (eds.) Proc. of the Fifth SIAM Conference on Applied Linear Algebra. SIAM pp. 439-443.
- Bell, S. and Nichols, N. (1994) Regularization of time-varying descriptor systems by the asvd. In: Lewis, J. , (eds.) Proceedings of the 5th SIAM Conference on Applied Linear Algebra. Society for Industrial and Applied Mathematics , Philadelphia. pp. 172-176. ISBN: 978-089871336-7
- Faleirot, L. , Pratt, R. , Nichols, N. (1994) A comparison between classical techniques and eigenstructure assignment in the design of a longitudinal instrument landing system. pp. 1/1-1/3.
- Nichols, N. and Stringer, S. (1994) The state estimation of flow demands in gas networks from sparse pressure telemetry. Transactions of the Institute of Measurement and Control , 16 (2). pp. 66-74. ISSN: 0142-3312 | doi: https://dx.doi.org/10.1177/014233129401600203
- Bunse-Gerstner, A. , Mehrmann, V. , Nichols, N. (1994) Regularization of descriptor systems by output feedback. IEEE Transactions on Automatic Control , 39 (8). pp. 1742-1748. ISSN: 0018-9286 | doi: https://dx.doi.org/10.1109/9.310065
- Nichols, N. (1993) Obituary: Professor Leslie Fox, C. Math., FIMA. The IMA Bulletin , 29 pp. 175-176.
- Stringer, S. and Nichols, N. (1993) The estimation of flow demands in a linear gas network from sparse pressure telemetry.
- Nichols, N. (1993) Phase control in wave energy generation. In: Caratti, G. , Lewis, A. , Howett, D. , (eds.) Wave Energy R&D. Commission of the European Communities , Brussels. pp. 177-182.
- Justino, P. , Nichols, N. , deo Falcano, A. , eds. (1993) Optimal phase control of OWCs. In: Elliot, G. and Caratti, G. , (eds.) pp. 145-149.
- Bunse-Gerstner, A. , Mehrmann, V. , Nichols, N. (1993) Output feedback in descriptor systems. In: Van Dooren, P. and Wyman, B. , (eds.) Linear Algebra for Control Theory. Springer Verlag pp. 43-54.
- Ammar, G. , Mehrmann, V. , Nichols, N. , eds. (1993) Linear Algebra and its Applications: special issue on Numerical Linear Algebra Methods in Control, Signals and Systems . Linear Algebra and its Applications , 189. Elsevier
- Perrin, N. , Sibly, R. , Nichols, N. (1993) Optimal growth strategies when mortality and production rates are size-dependent. Evolutionary Ecology , 7 (6). pp. 576-592. ISSN: 0269-7653 | doi: https://dx.doi.org/10.1007/BF01237822
- Byers, R. and Nichols, N. (1993) On the stability radius of a generalized state-space system. Linear Algebra and its Applications , 188-189 pp. 113. ISSN: 0024-3795 | doi: https://dx.doi.org/10.1016/0024-3795(93)90466-2
- Xu, Z. , Nichols, N. , Birkett, N. (1992) OCTPG3 - A program for hydrodynamic modeling and optimal-control of tidal power schemes. In: Blain, W. and Cabrera, E. , (eds.) Fluid flow modelling. , 1. Computational Mechanics Publications pp. 497-508. ISBN: 9-78156-252127-1
- Xu, Z. and Nichols, N. (1992) OCTPG: A program for estuary hydrodynamic modelling and optimal control of tidal power schemes.
- Xu, Z. and Nichols, N. (1992) A theoretical and numerical investigation of tidal power schemes by non-linear optimal control methods. pp. 117-123.
- Bunse-Gerstner, A. , Mehrmann, V. , Nichols, N. (1992) Numerical methods for the regularization of descriptor systems by output feedback. Institute of Mathematics and Applications (987).
- Bunse-Gerstner, A. , Mehrmann, V. , Nichols, N. (1992) Regularization of Descriptor Systems by Derivative and Proportional State Feedback. Siam Journal on Matrix Analysis and Applications , 13 (1). pp. 46-67. ISSN: 0895-4798 | doi: https://dx.doi.org/10.1137/0613007
- Nichols, N. and Owens, D. , eds. (1992) The Mathematics of Control Theory. Clarendon Press pp 489. ISBN: 978-0198536406
- Nichols, N. , Falcao, A. , Pontes, M. (1991) Optimal phase control of wave power devices. Wave Energy. Institute of Mechanical Engineers , London. pp. 41-46.
- Bunse-Gerstner, A. , Mehrmann, V. , Nichols, N. (1991) Regularization of descriptor systems.
- Campbell, S. , Nichols, N. , Terrell, W. (1991) Duality, observability, and controllability for linear time-varying descriptor systems. Circuits Systems and Signal Processing , 10 (4). pp. 455-470. ISSN: 0278-081X | doi: https://dx.doi.org/10.1007/BF01194883
- Bunse-Gerstner, A. , Byers, R. , Mehrmann, V. , Nichols, N. (1991) Numerical computation of an analytic singular value decomposition of a matrix valued function. Numerische Mathematik , 60 (1). pp. 1-39. ISSN: 0029-599X | doi: https://dx.doi.org/10.1007/BF01385712
- Bunse-Gerstner, A. , Mehrmann, V. , Nichols, N. (1990) On derivative and proportional feedback design for descriptor systems. In: Kaashoek, M. , Van Schuppen, J. , Ran, A. , (eds.) Signal Processing, Scattering and Operator Theory, and Numerical Methods. Birkhauser , Boston. pp. 437-446.
- Andrews, T. , Nichols, N. , Xu, Z. (1990) The form of optimal controllers for tidal power generation schemes. The University of Reading (8/90). , Reading.
- Kautsky, J. and Nichols, N. (1990) Robust pole assignment in systems subject to structured perturbations. Systems & Control Letters , 15 (5). pp. 373-380. ISSN: 0167-6911 | doi: https://dx.doi.org/10.1016/0167-6911(90)90060-8
- Bunse-Gerstner, A. , Mehrmann, V. , Nichols, N. (1989) Derivative feedback for descriptor systems. Bielefeld University (Germany) pp 36. (Availability also from TIB Hannover ... RN 7886(58))
- Nichols, N. (1989) On the numerical integration of a class of singular perturbation problems. Journal of Optimization Theory and Applications , 60 (3). pp. 439-452. ISSN: 0022-3239 | doi: https://dx.doi.org/10.1007/BF00940347
- Kautsky, J. , Nichols, N. , Chu, E. (1989) Robust pole assignment in singular control systems. Linear Algebra and its Applications , 121 pp. 9-37. ISSN: 0024-3795 | doi: https://dx.doi.org/10.1016/0024-3795(89)90689-7
- Petkov, P. , Christov, N. , Konstantinov, M. , Nichols, N. (1988) Comments, with reply, on "Computational algorithms for pole assignment" by N.K. Nichols. IEEE Transactions on Automatic Control , 33 (9). pp. 892-894. ISSN: 0018-9286 | doi: https://dx.doi.org/10.1109/9.1328
- Barlow, J. , Nichols, N. , Plemmons, R. (1988) Iterative Methods for Equality-Constrained Least Squares Problems. SIAM Journal on Scientific and Statistical Computing , 9 (5). pp. 892-906. ISSN: 0196-5204 | doi: https://dx.doi.org/10.1137/0909061
- Birkett, N. , Nichols, N. , Nicol, D. (1987) Dynamic models for optimal control of tidal power schemes. pp. 33-39.
- Hoskin, R. and Nichols, N. (1987) Optimal Strategies for Phase Control of Wave Energy Devices. In: McCormick, M. and Kim, Y. , (eds.) Utilization of Ocean Waves—Wave to Energy Conversion. ASCE: American Society of Civil Engineers , New York. pp. 184-199. ISBN: 978-0-87262-624-9 or 0-87262-624-5 (A paper presented at the ASCE Specialty Conference, Utilization of Ocean Waves, held at the Scripps Institution of Oceanography, June 16 and 17, 1986.)
- Nichols, N. (1987) Robustness in partial pole placement. IEEE Transactions on Automatic Control , 32 (8). pp. 728-732. ISSN: 0018-9286 | doi: https://dx.doi.org/10.1109/TAC.1987.1104703
- Hoskin, R. , Count, B. , Nichols, N. , Nicol, D. (1986) Phase control for the oscillating water column. In: Evans, D. and Falcao, A. , (eds.) Hydrodynamics of Ocean Wave-Energy Utilization. Springer-Verlag pp. 257-268.
- Birkett, N. and Nichols, N. (1986) Optimal control problems in tidal power generation. In: Elliott, C. and McKee, S. , (eds.) Industrial Numerical Analysis - Case Histories. Clarendon Press , Oxford. pp. 53-89.
- Chu, E. and Nichols, N. (1986) Reliable algorithms for reduced order observer design. In: Byrne, C. and Lindquist, A. , (eds.) Computational and Combinatorial Methods in System Theory. Elsevier Press, North Holland pp. 11-22.
- Barlow, J. , Nichols, N. , Plemmons, R. (1986) A conjugate gradient method for the solution of equality constrained least squares problems. SPIE , 696 pp. 23-30. (SPIE Special issue: Advanced Algebra and Architectures for Signal Processing)
- Hoskin, R. and Nichols, N. (1986) Latching control of a point absorber. pp. 317-330. (Proceedings published by BHRA)
- Kautsky, J. and Nichols, N. (1986) Algorithms for Robust Pole Assignment in Singular Systems. pp. 433-436.
- Nichols, N. (1986) On computational algorithms for pole assignment. IEEE Transactions on Automatic Control , 31 (7). pp. 643-645. ISSN: 0018-9286 | doi: https://dx.doi.org/10.1109/TAC.1986.1104354
- Fletcher, L. , Kautsky, J. , Nichols, N. (1986) Eigenstructure assignment in descriptor systems. IEEE Transactions on Automatic Control , 31 (12). pp. 1138-1141. ISSN: 0018-9286 | doi: https://dx.doi.org/10.1109/TAC.1986.1104189
- Nichols, N. (1986) Robust control system design for generalized state-space systems. pp. 538-540. | doi: https://dx.doi.org/10.1109/CDC.1986.267341
- Kreiss, H. , Nichols, N. , Brown, D. (1986) Numerical Methods for Stiff Two-Point Boundary Value Problems. SIAM Journal on Numerical Analysis (SINUM) , 23 (2). pp. 325-368. ISSN: 0036-1429 | doi: https://dx.doi.org/10.1137/0723023
- Birkett, N. , Count, B. , Nichols, N. , Nicol, D. (1985) Optimal control problems in tidal power generation - full estuary model. In: Wacker, H. , (eds.) Applied Optimization Techniques in Energy Problems. B G Teubner , Stuttgart. pp. 138-159.
- Chu, E. , Nichols, N. , Kautsky, J. (1985) Robust pole assignment by output feedback. In: Cook, P. , (eds.) Proceedings of the Fourth IMA Conference on Control Theory. Academic Press pp. 137-146.
- Birkett, N. and Nichols, N. (1985) Optimal control problems in tidal power generation - variable geometry/non-linear head flow model. In: Cook, P. , (eds.) Proceedings of the Fourth IMA Conference on Control Theory. Academic Press pp. 269-284.
- Kautsky, J. and Nichols, N. (1985) Robust multiple eigenvalue assignment by state feedback in linear systems. Linear Algebra and its Role in System Theory , 47 pp. 253-264.
- Sibly, R. , Calow, P. , Nichols, N. (1985) Are patterns of growth adaptive?. Journal of Theoretical Biology , 112 (3). pp. 553-574. ISSN: 225193 | doi: https://dx.doi.org/10.1016/S0022-5193(85)80022-9
- Fletcher, L. , Kautsky, J. , Kolka, G. , Nichols, N. (1985) Some necessary and sufficient conditions for eigenstructure assignment. International Journal of Control , 42 (6). pp. 1457-1468. ISSN: 0020-7179 | doi: https://dx.doi.org/10.1080/00207178508933437
- Kautsky, J. , Nichols, N. , Van Dooren, P. (1985) Robust pole assignment in linear state feedback. International Journal of Control , 41 (5). pp. 1129. ISSN: 0020-7179 | doi: https://dx.doi.org/10.1080/0020718508961188
- Nichols, N. (1984) An optimal heat control problem. The University of Reading
- Kautsky, J. , Nichols, N. , Van Dooren, P. (1984) Numerical methods for inverse eigenvalue problems in algebraic control theory. Proceedings of the Centre for Mathematical Analysis. , 6. Australian National University , Canberra. pp. 102-106.
- Birkett, N. , Count, B. , Nichols, N. (1984) Optimal control problems in tidal power. Water Power and Dam Construction , 36 pp. 37-42.
- Nichols, N. and van Dooren, P. (1984) Robust pole assignment and optimal stability margins. Electronics Letters , 20 (16). pp. 660-661. ISSN: 0013-5194 | doi: https://dx.doi.org/10.1049/el:19840452
- Kautsky, J. , Nichols, N. , Jupp, D. (1984) Smoothed histogram modification for image processing. Computer Vision, Graphics, and Image Processing , 26 (3). pp. 271-291. ISSN: 0734-189X | doi: https://dx.doi.org/10.1016/0734-189X(84)90213-5
- Kautsky, J. and Nichols, N. (1983) Matrix factorisation and some applications in linear systems. Reliable Numerical Procedures in Control System Design. Digest Institution of Electrical Engineers (1983/87). pp. 5/1-5/3.
- Kautsky, J. , Nichols, N. , Van Dooren, P. , Fletcher, L. (1983) Numerical methods for robust eigenstructure assignment in control system design. Numerical Treatment of Inverse Problems for Integral and Differential Equations. Birhauser , Boston. pp. 171-178.
- Kautsky, J. and Nichols, N. (1982) MEAP-1: MATLAB Eigenstructure Assignment Package - Mark 1. Flinders University of South Australia , Finders, Australia.
- Lyle, S. and Nichols, N. (1982) On the finite element solution of optimal design problems using transformation techniques. In: Whiteman, J. , (eds.) The Mathematics of Finite Elements and Applications IV. Academic Press pp. 183-192.
- Nichols, N. (1982) Time-optimal decoupling control problems . International J. of Control
- Burghes, D. , Lyle, S. , Nichols, N. (1982) Optimal resource depletion: Free end time problems. Optimal Control: Applications and Methods , 3 pp. 283-291.
- Nichols, N. and England, R. (1982) Numerical solution of an elastic boundary layer problem using a multiple shooting technique. Journal of Computational Physics , 46 (3). pp. 369-389. ISSN: 0021-9991 | doi: https://dx.doi.org/10.1016/0021-9991(82)90021-3
- Kautsky, J. and Nichols, N. (1982) Smooth Regrading of Discretized Data. SIAM Journal on Scientific and Statistical Computing , 3 (2). pp. 145-159. ISSN: 0196-5204 | doi: https://dx.doi.org/10.1137/0903010
- Norman, G. and Nichols, N. (1982) Dynamic Market Strategy Under Threat of Competitive Entry: An Analysis of the Pricing and Production Policies Open to the Multinational Company. The Journal of Industrial Economics , 31 (1/2). pp. 153-174. ISSN: 0022-1821 | doi: https://dx.doi.org/10.2307/2098010 (Given at a symposium on Spatial Competition and the Theory of Differentiated Markets )
- Nichols, N. , Dearden, S. , Atkinson, P. , Allen, A. (1981) Time optimal decoupled control. In: Marshall, J. , Collins, W. , Harris, C. , Owens, D. , (eds.) Third International IMA Conference on Control Theory. Academic Press , London. pp. 507-525.
- Kautsky, J. and Nichols, N. (1981) PEEK-2: Computer package for LANDSAT image processing. Flinders University of South Australia
- Kautsky, J. , Jupp, D. , Nichols, N. (1981) Image enhancement by smoothed histogram modification.
- Kautsky, J. and Nichols, N. (1980) Equidistributing Meshes with Constraints. SIAM Journal on Scientific and Statistical Computing , 1 (4). pp. 499-511. ISSN: 0196-5204 | doi: https://dx.doi.org/10.1137/0901036
- Curtis, A. , Jones, I. , Nichols, N. (1979) DEPACK: A conversational job entry system for differential equation problems at Harwell. AERE Harwell , Harwell.
- Fong, C. and Nichols, N. (1979) A continuum model of a fishing net. The University of Reading
- Nichols, N. , Petrovic, S. , Burghes, D. (1978) Solutions of optimal control problems in economic growth modelling by the finite element method. In: Alarcon, E. and Brebbia, C. , (eds.) Proceedings of the Second International Conference on Numerical Modelling. Pentreath Press , Madrid. pp. 12.1-12.9.
- Curtis, A. , Jones, I. , Nichols, N. (1977) Numerical solution of ordinary differential equations. AERE Harwell
- Kreiss, H. and Nichols, N. (1975) Numerical methods for singular perturbation problems. Uppsala University , Uppsala.
- Kreiss, H. and Nichols, N. (1975) Methods for singular perturbation problems. In: Glowinski, R. and Lions, J. , (eds.) Computing Methods in Applied Sciences and Engineering II. Academic Press
- Nichols, N. (1973) On the Convergence of Two-Stage Iterative Processes for Solving Linear Equations. SIAM Journal on Numerical Analysis (SINUM) , 10 (3). pp. 460-469. ISSN: 0036-1429 | doi: https://dx.doi.org/10.1137/0710040
- Nichols, N. (1969) Numerical solution of elliptic differential equations.
- Nichols, N. and Fox, L. (1969) Generalized consistent ordering and the optimum successive over-relaxation factor. Numerische Mathematik , 13 (5). pp. 425-433. ISSN: 0029-599X | doi: https://dx.doi.org/10.1007/BF02163270