Roland Potthast
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+44 (0) 118 378 7614
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Professor
Office
Room 313CBuilding location
MathematicsAreas of interest
- Inverse problems
- Industrial and financial mathematics
- Integral equations
- Simulation of waves, fluids and complex systems
- Solution of partial differential equations
Research centres and groups
Websites/blogs
Publications
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Lang, O.
,
Van Leeuwen, P.
,
Crisan, D.
,
Potthast, R.
ORCID: 0000-0001-6794-2500
(2022)
Bayesian inference for fluid dynamics: a case study for the stochastic rotating shallow water model.
Frontiers in Applied Mathematics and Statistics
, 8
ISSN:
2297-4687
|
doi:
https://dx.doi.org/10.3389/fams.2022.949354
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Sgoff, C.
,
Acevedo, W.
,
Paschalidi, Z.
,
Ulbrich, S.
,
Bauernschubert, E.
,
Kratzsch, T.
,
Potthast, R.
ORCID: 0000-0001-6794-2500
(2022)
Assimilation of crowd-sourced surface observations over Germany in a regional weather prediction system.
Quarterly Journal of the Royal Meteorological Society
, 148
(745).
pp.
1752-1767.
ISSN:
1477-870X
|
doi:
https://dx.doi.org/10.1002/qj.4276
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Kotsuki, S.
,
Miyoshi, T.
ORCID: 0000-0003-3160-2525
,
Kondo, K.
,
Potthast, R.
(2022)
A local particle filter and its Gaussian mixture extension implemented with minor modifications to the LETKF.
Geoscientific Model Development
, 15
(22).
pp.
8325-8348.
ISSN:
1991-9603
|
doi:
https://dx.doi.org/10.5194/gmd-15-8325-2022
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Furuya, T.
ORCID: 0000-0001-6132-6846
and
Potthast, R.
(2022)
Inverse medium scattering problems with Kalman filter techniques.
Inverse Problems
, 38
(9).
ISSN:
0266-5611
|
doi:
https://dx.doi.org/10.1088/1361-6420/ac836f
- Potthast, R. , Vobig, K. , Blahak, U. , Simmer, C. (2022) Data Assimilation of nowcasted observations. Monthly Weather Review , 150 (5). pp. 969-980. ISSN: 0027-0644 | doi: https://dx.doi.org/10.1175/MWR-D-21-0017.1
- Schenk, N. , Potthast, R. , Rojahn, A. (2022) On two localized particle filter methods for Lorenz 1963 and 1996 Models. Frontiers in Applied Mathematics and Statistics , 8 pp 0. ISSN: 2297-4687 | doi: https://dx.doi.org/10.3389/fams.2022.920186
- Trömel, S. , Chwala, C. , Furusho-Percot, C. , Henken, C. , Polz, J. , Potthast, R. , Reinoso-Rondinel, R. , Simmer, C. (2021) Near-Realtime Quantitative Precipitation Estimation and Prediction (RealPEP). Bulletin of the American Meteorological Society , 102 (8). pp. E1591-E1596. ISSN: 1520-0477 | doi: https://dx.doi.org/10.1175/BAMS-D-21-0073.1
- Lin, Y. , Nakamura, G. , Potthast, R. , Wang, H. (2021) Duality between range and no-response tests and its application for inverse problems. Inverse problems and imaging , 15 (2). pp. 367-386. ISSN: 1930-8337 | doi: https://dx.doi.org/10.3934/ipi.2020072
- Otkin, J. , Potthast, R. , Lawless, A. (2021) Nonlinear conditional model bias estimation for data assimilation. SIAM Journal on Applied Dynamical Systems , 20 (1). pp. 299-332. ISSN: 1536-0040 | doi: https://dx.doi.org/10.1137/19M1294848
- Udosen, N. and Potthast, R. (2019) A framework for solving meta inverse problems: experimental design and application to an acoustic source problem. Modeling Earth Systems and Environment , 5 (2). pp. 519-532. ISSN: 2363-6203 | doi: https://dx.doi.org/10.1007/s40808-018-0541-y
- Otkin, J. and Potthast, R. (2019) Assimilation of all-sky seviri infrared brightness temperatures in a regional-scale ensemble data assimilation system. Monthly Weather Review , 147 (12). pp. 4481-4509. ISSN: 1520-0493 | doi: https://dx.doi.org/10.1175/mwr-d-19-0133.1
- 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
- Potthast, R. , Walter, A. , Rhodin, A. (2019) A localized adaptive particle filter within an operational NWP framework. Monthly Weather Review , 147 (1). pp. 345-362. ISSN: 0027-0644 | doi: https://dx.doi.org/10.1175/MWR-D-18-0028.1
- Meng, D. , Chen, Y. , Wang, H. , Gao, Y. , Potthast, R. , Wang, Y. (2019) The evaluation of EnVar method including hydrometeors analysis variables for assimilating cloud liquid/ice water path on prediction of rainfall events. Atmospheric Research , 219 pp. 1-12. ISSN: 0169-8059 | doi: https://dx.doi.org/10.1016/j.atmosres.2018.12.017
- Alswaihli, J. , Potthast, R. , Bojak, I. , Saddy, D. , Hutt, A. (2018) Kernel reconstruction for delayed neural field equations. The Journal of Mathematical Neuroscience , 8 ISSN: 2190-8567 | doi: https://dx.doi.org/10.1186/s13408-018-0058-8
- Nadeem, A. , Potthast, R. , Rhodin, A. (2018) On sequential multiscale inversion and data assimilation. Journal of Computational and Applied Mathematics , 336 pp. 338-352. ISSN: 0377-0427 | doi: https://dx.doi.org/10.1016/j.cam.2017.08.013
- Otkin, J. , Potthast, R. , Lawless, A. (2018) Nonlinear bias correction for satellite data assimilation using Taylor series polynomials. Monthly Weather Review , 146 (1). pp. 263-285. ISSN: 0027-0644 | doi: https://dx.doi.org/10.1175/mwr-d-17-0171.1
- 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
- Geisinger, A. , Behrendt, A. , Wulfmeyer, V. , Strohbach, J. , Förstner, J. , Potthast, R. (2017) Development and application of a backscatter lidar forward operator for quantitative validation of aerosol dispersion models and future data assimilation. Atmospheric Measurement Techniques , 10 (12). pp. 4705-4726. ISSN: 1867-8548 | doi: https://dx.doi.org/10.5194/amt-10-4705-2017
- Nadeem, A. and Potthast, R. (2016) Transformed and generalized localization for ensemble methods in data assimilation. Mathematical Methods in the Applied Sciences , 39 (4). pp. 619-634. ISSN: 0170-4214 | doi: https://dx.doi.org/10.1002/mma.3496
- Zia, Q. and Potthast, R. (2016) The range test and the no response test for Oseen problems: theoretical foundation. Journal of Computational and Applied Mathematics , 304 pp. 201-211. ISSN: 0377-0427 | doi: https://dx.doi.org/10.1016/j.cam.2015.11.029
- Schraff, C. , Reich, H. , Rhodin, A. , Schomburg, A. , Stephan, K. , Perianez, A. , Potthast, R. (2016) Kilometre-scale ensemble data assimilation for the COSMO model (KENDA). Quarterly Journal of the Royal Meteorological Society , 142 (696). pp. 1453-1472. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.2748
- Bick, T. , Simmer, C. , Trömel, S. , Wapler, K. , Hendricks Franssen, H. , Stephan, K. , Blahak, U. , Schraff, C. , Reich, H. , Zeng, Y. , Potthast, R. (2016) Assimilation of 3D radar reflectivities with an ensemble Kalman filter on the convective scale. Quarterly Journal of the Royal Meteorological Society , 142 (696). pp. 1490-1504. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.2751
- Yaman, F. , Yakhno, V. , Özdemir, C. , Yu, T. , Potthast, R. (2015) Recent theory and applications on inverse problems 2014. , 2015. Mathematical Problems in Engineering , 2015 ISSN: 1024-123X | doi: https://dx.doi.org/10.1155/2015/403729
- Schomburg, A. , Schraff, C. , Potthast, R. (2015) A concept for the assimilation of satellite cloud information in an Ensemble Kalman Filter: single-observation experiments. Quarterly Journal of the Royal Meteorological Society , 141 (688). pp. 893-908. ISSN: 1477-870X | doi: https://dx.doi.org/10.1002/qj.2407
- Perianez, A. , Reich, H. , Potthast, R. (2014) Optimal localization for ensemble Kalman filter systems. Journal of the Meteorological Society of Japan. Ser. II , 92 (6). pp. 585-597. ISSN: 0026-1165 | doi: https://dx.doi.org/10.2151/jmsj.2014-605
- Zia, Q. and Potthast, R. (2013) Flow and shape reconstructions from remote measurements. Mathematical Methods in the Applied Sciences , 36 (10). pp. 1171-1186. ISSN: 1099-1476 | doi: https://dx.doi.org/10.1002/mma.2670
- Yaman, F. , Yakhno, V. , Potthast, R. (2013) A survey on inverse problems for applied sciences. Mathematical Problems in Engineering , 2013 ISSN: 1024-123X | doi: https://dx.doi.org/10.1155/2013/976837
- Lowery, N. , Vahdati, M. , Potthast, R. , Holderbaum, W. (2013) Classification and fault detection methods for fuel cell monitoring and quality control. Journal of Fuel Cell Science and Technology , 10 (2). ISSN: 1550-624X | doi: https://dx.doi.org/10.1115/1.4023565
- Moodey, A. , Lawless, A. , Potthast, R. , Van Leeuwen, P. (2013) Nonlinear error dynamics for cycled data assimilation methods. Inverse Problems , 29 (2). pp. 25002. ISSN: 0266-5611 | doi: https://dx.doi.org/10.1088/0266-5611/29/2/025002
- Marx, B. and Potthast, R. (2012) On instabilities in data assimilation algorithms. GEM - International Journal on Geomathematics , 3 (2). pp. 253-278. ISSN: 1869-2680 | doi: https://dx.doi.org/10.1007/s13137-012-0034-5
- Lowery, N. , Potthast, R. , Vahdati, M. , Holderbaum, W. (2012) On discrimination algorithms for ill-posed problems with an application to magnetic tomography . Inverse Problems , 28 (6). ISSN: 1361-6420 | doi: https://dx.doi.org/10.1088/0266-5611/28/6/065010
- Potthast, R. (2011) An iterative contractive framework for probe methods: LASSO. Radio Science , 46 (RS0E14). ISSN: 1944–799x | doi: https://dx.doi.org/10.1029/2011RS004660
- Potthast, R. (2010) A study on orthogonality sampling.. Inverse Problems , 26 (7). pp. 74015. ISSN: 1361-6420 | doi: https://dx.doi.org/10.1088/0266-5611/26/7/074015
- Potthast, R. , Fazi, F. , Nelson, P. (2010) Source splitting via the point source method. Inverse Problems , 26 (4). pp. 45002. ISSN: 1361-6420 | doi: https://dx.doi.org/10.1088/0266-5611/26/4/045002
- Potthast, R. and Beim Graben, P. (2009) Inverse problems in neural field theory. SIAM Journal on Applied Dynamical Systems , 8 (4). pp. 1405-1433. ISSN: 1536-0040 | doi: https://dx.doi.org/10.1137/080731220
- Burkard, C. and Potthast, R. (2009) A time-domain probe method for three-dimensional rough surface reconstructions. Inverse problems and imaging , 3 (2). pp. 259-274. ISSN: 1930-8337 | doi: https://dx.doi.org/10.3934/ipi.2009.3.259
- Beim Graben, P. and Potthast, R. (2009) Inverse problems in dynamic cognitive modeling. Chaos , 19 (1). pp. 21. ISSN: 1089-7682 | doi: https://dx.doi.org/10.1063/1.3097067
- Beim Graben, P. , Pinotsis, D. , Saddy, D. , Potthast, R. (2008) Language processing with dynamic fields. Cognitive Neurodynamics , 2 (2). pp. 79-88. ISSN: 1871-4099 | doi: https://dx.doi.org/10.1007/s11571-008-9042-4
- Jakubik, P. and Potthast, R. (2008) Testing the integrity of some cavity - the Cauchy problem and the range test. Applied Numerical Mathematics , 58 (6). pp. 899-914. ISSN: 0168-9274 | doi: https://dx.doi.org/10.1016/j.apnum.2007.04.007
- Potthast, R. , Fazi, F. , Nelson, P. , Seo, J. (2008) Two sound field reconstruction techniques based on integral equations. 2008 Hands-Free Speech Communication and Microphone Arrays. 2008 Hands-Free Speech Communication and Microphone Arrays pp. 245-248.
- Heinemeyer, E. , Lindner, M. , Potthast, R. (2008) Convergence and numerics of a multisection method for scattering by three-dimensional rough surfaces. SIAM Journal on Numerical Analysis (SINUM) , 46 (4). pp. 1780-1798. ISSN: 0036-1429 | doi: https://dx.doi.org/10.1137/060673321
- Hauer, K. , Potthast, R. , Wannert, M. (2008) Algorithms for magnetic tomography - on the role of a priori knowledge and constraints. Inverse Problems , 24 (4). pp. 45008. ISSN: 0266-5611 | doi: https://dx.doi.org/10.1088/0266-5611/24/4/045008
- Delbary, F. , Erhard, K. , Kress, R. , Potthast, R. , Schulz, J. (2008) Inverse electromagnetic scattering in a two-layered medium with an application to mine detection. Inverse Problems , 24 (1). pp. 15002. ISSN: 0266-5611 | doi: https://dx.doi.org/10.1088/0266-5611/24/1/015002
- Eckel, H. and Potthast, R. (2007) An evolutionary Newton method for shape reconstruction. Journal of Inequalities and Applications , 19 (3). pp. 261-287. ISSN: 1025-5834 | doi: https://dx.doi.org/10.1216/jiea/1190905487
- Potthast, R. and Schulz, J. (2007) A multiwave range test for obstacle reconstructions with unknown physical properties. Journal of Computational and Applied Mathematics , 205 (1). pp. 53-71. ISSN: 0377-0427 | doi: https://dx.doi.org/10.1016/j.cam.2006.04.040
- Potthast, R. (2007) On the convergence of the no response test. SIAM Journal on Mathematical Analysis (SIMA) , 38 (6). pp. 1808-1824. ISSN: 0036-1410 | doi: https://dx.doi.org/10.1137/S0036141004441003
- Nakamura, G. , Potthast, R. , Sini, M. (2006) A comparative study between some non-iterative methods for inverse scattering. Contemporary Mathematics , 408 pp. 249-265.
- Ben Hassen, M. , Erhard, K. , Potthast, R. (2006) The point-source method for 3D reconstructions for the Helmholtz and Maxwell equations. Inverse Problems , 22 (1). pp. 331-353. ISSN: 0266-5611
- Chandler-Wilde, S. , Heinemeyer, E. , Potthast, R. (2006) Acoustic scattering by mildly rough unbounded surfaces in three dimensions. Siam Journal on Applied Mathematics , 66 (3). pp. 1002-1026. ISSN: 0036-1399
- Luke, D. and Potthast, R. (2006) The point source method for inverse scattering in the time domain. Mathematical Methods in the Applied Sciences , 29 (13). pp. 1501-1521. ISSN: 0170-4214
- Nakamura, G. , Potthast, R. , Sini, M. (2006) Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test. Communications in Partial Differential Equations , 31 (10). pp. 1505-1528. ISSN: 0360-5302
- Erhard, K. and Potthast, R. (2006) A numerical study of the probe method. Siam Journal on Scientific Computing , 28 (5). pp. 1597-1612. ISSN: 1064-8275
- Chandler-Wilde, S. , Heinemeyer, E. , Potthast, R. (2006) A well-posed integral equation formulation for three-dimensional rough surface scattering. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences , 462 (2076). pp. 3683-3705. ISSN: 1364-5021
- Potthast, R. (2006) A survey on sampling and probe methods for inverse problems. Inverse Problems , 22 (2). pp. R1-R47. ISSN: 0266-5611