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Mike Baines

Email:
m.j.baines@reading.ac.uk
Phone:
+44 (0) 118 378 8993
Job title:
Associate Lecturer

Responsibilities:

Office

Room 202

Building location

JJ Thomson

Areas of interest

Velocity-based moving mesh methods for nonlinear time-dependent PDEs
Numerical symmetry preservation
Finite element methods

Research centres and groups

Numerical Analysis and Computational Modelling

Professional bodies/affiliations

Visiting Professor at University of Leeds
Ex-Director of the Institute of Computational Fluid Dynamics (ICFD)

Websites/blogs

Selected publications

Departmental report: The numerical propagation of scaling symmetries of scale-invariant partial differential equations: the S-property for mass-conserving problems

Publications

Baines, M. and Christou, K. (2022) A numerical method for multispecies populations in a moving domain using combined masses. Mathematics , 10 (7). pp 0. ISSN: 2227-7390 | doi: https://dx.doi.org/10.3390/math10071124

Baines, M. and Christou, K. (2021) A moving-mesh finite-difference method for segregated two-phase competition-diffusion. Mathematics , 9 (4). pp 0. ISSN: 2227-7390 | doi: https://dx.doi.org/10.3390/math9040386

Lukyanov, A. , Mitkin, V. , Theofanous, T. , Baines, M. (2019) Capillary transport in particulate porous media at low levels of saturation. Journal of Applied Physics , 125 ISSN: 0021-8979 | doi: https://dx.doi.org/10.1063/1.5086869

Baines, M. and Sarahs, N. (2018) A moving-mesh finite difference scheme that preserves scaling symmetry for a class of nonlinear diffusion problems. Journal of Computational and Applied Mathematics , 340 pp. 380-389. ISSN: 0377-0427 | doi: https://dx.doi.org/10.1016/j.cam.2018.02.040

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

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

Lee, T. , Baines, M. , Langdon, S. (2015) A finite difference moving mesh method based on conservation for moving boundary problems. Journal of Computational and Applied Mathematics , 288 pp. 1-17. ISSN: 0377-0427 | doi: https://dx.doi.org/10.1016/j.cam.2015.03.032
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
Baines, M. (2015) Explicit time-stepping for moving meshes. Journal of Mathematical Study , 48 (2). pp. 93-105. ISSN: 1006-6837 | doi: https://dx.doi.org/10.4208/jms.v48n2.15.01

Baines, M. and Lee, T. (2014) A large time-step implicit moving mesh scheme for moving boundary problems. Numerical Methods for Partial Differential Equations , 30 (1). pp. 321-338. ISSN: 1098-2426 | doi: https://dx.doi.org/10.1002/num.21812

Lee, T. , Baines, M. , Langdon, S. , Tindall, M. (2013) A moving mesh approach for modelling avascular tumour growth. Applied Numerical Mathematics , 72 pp. 99-114. ISSN: 1689274 | doi: https://dx.doi.org/10.1016/j.apnum.2013.06.001

Lukyanov, A. , Shushchikh, M. , Baines, M. , Thoephanus, T. (2012) Superfast nonlinear diffusion: capillary transport in particulate porous media. Physical Review Letters , 109 (21). pp. 214501-214504. ISSN: 0031-9007 | doi: https://dx.doi.org/10.1103/PhysRevLett.109.214501
Lukyanov, A. , Sushchikh, M. , Baines, M. , Theofanous, T. (2012) Superfast non-linear diffusion: capillary transport in particulate porous media. Physical Review Letters , 109 (21). ISSN: 0031-9007 | doi: https://dx.doi.org/10.1103/PhysRevLett.109.214501

Baines, M. and Partridge, D. (2011) A moving mesh approach to an ice sheet model. Computers and Fluids , 46 pp. 381-386. ISSN: 0045-7930 | doi: https://dx.doi.org/10.1016/j.compfluid.2011.02.001
Baines, M. , Hubbard, M. , Jimack, P. (2011) Velocity-based moving mesh methods for nonlinear partial differential equations. Communications in Computational Physics , 10 (3). pp. 509-576. ISSN: 1991-7120 | doi: https://dx.doi.org/10.4208/cicp.201010.040511a

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.

Hubbard, M. , Baines, M. , Jimack, P. , Mahmood, R. (2009) A moving-mesh finite element method and its application to the numerical solution of phase-change problems. Communications in Computational Physics , 6 (3). pp. 595-624. ISSN: 1815-2406
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. , 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.
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
Hubbard, M. , Baines, M. , Jimack, P. (2009) Consistent Dirichlet Boundary Conditions for Numerical Solution of Moving Boundary Problems . Applied Numerical Mathematics , 59 (6). pp. 1337-1353 . ISSN: 0168-9274 | doi: https://dx.doi.org/10.1016/j.apnum.2008.08.002

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

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.

Sun, K. , Pyle, D. , Baines, M. , Hall-Taylor, N. , Fitt, A. (2006) Velocity profiles and frictional pressure drop for shear thinning materials in lid-driven cavities with fully developed axial flow. Chemical Engineering Science , 61 (14). pp. 4697-4706. ISSN: 0009-2509 | doi: https://dx.doi.org/10.1016/j.ces.2006.03.005
Baines, M. , Hubbard, M. , Jimack, P. , Jones, A. (2006) Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions. Applied Numerical Mathematics , 56 (2). pp. 230-252. ISSN: 0168-9274

Baines, M. , Hubbard, . , Jimack, . (2005) A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries. Applied Numerical Mathematics , 54 (3-4). pp. 450-469. ISSN: 0168-9274
Baines, M. , Hubbard, M. , Jimack, P. (2005) A moving mesh finite element algorithm for fluid flow problems with moving boundaries. International Journal for Numerical Methods in Fluids , 47 (10-11). pp. 1077-1083. ISSN: 0271-2091
Wells, B. , Baines, M. , Glaister, P. (2005) Generation of arbitrary Lagrangian-Eulerian (ALE) velocities, based on monitor functions, for the solution of compressible fluid equations. International Journal for Numerical Methods in Fluids , 47 (10-11). pp. 1375-1381. ISSN: 0271-2091

Sun, . , Pyle, . , Fitt, . , Please, . , Baines, M. , Hall-Taylor, . (2004) Numerical study of 2D heat transfer in a scraped surface heat exchanger. Computers & Fluids , 33 (5-6). pp. 869-880. ISSN: 0045-7930 | doi: https://dx.doi.org/10.1016/j.compfluid.2003.06.009
Glaister, P. , Baines, M. , Wells, B. (2004) Generation of Arbitrary Lagrangian-Eulerian (ALE) velocities, based on monitor functions, for the solution of compressible fluid equations.
Glaister, P. , Baines, M. , Wells, B. (2004) An Arbitrary Lagrangian-Eulerian (ALE) method based on monitor functions for the compressible flow equations .
Baines, M. and Sweby, . , eds. (2004) Numerical Methods for Fluid Dynamics VIII. Proceedings of Conference on Numerical Methods for Fluid Dynamics. ICFD , Oxford.
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
Wakefield, M. , Baines, M. , Porter, D. (2004) Bounds on physical quantities of interest via degenerate saddle-shaped functionals. Computers & Fluids , 33 (5-6). pp. 881-888. ISSN: 0045-7930

Baines, M. , Hubbard, M. , Jimack, P. (2003) A Lagrangian Moving Finite Element Method incorporating Monitor Functions.
Wakefield, M. , Baines, M. , Porter, D. (2003) Bounds on physical quantities. Computers & Fluids , 33 pp. 881-888. ISSN: 0045-7930

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)

MacDonald, I. , Baines, M. , Nichols, N. , Samuels, P. (1995) A new method for the computation of steady open channel trans-critical flow.

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.