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Chapman, Stephen Jonathan

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Author ID: chapman.stephen-jonathan Recent zbMATH articles by "Chapman, Stephen Jonathan"
Published as: Chapman, S. J.; Chapman, S. Jonathan; Chapman, S. Jon; Chapman, Stephen Jonathan; Jonathan Chapman, S.
Homepage: http://people.maths.ox.ac.uk/chapman/
External Links: MGP · ORCID · dblp · GND
Documents Indexed: 143 Publications since 1991, including 1 Book
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 139 Co-Authors with 119 Joint Publications
2,937 Co-Co-Authors
all top 5

Co-Authors

17 single-authored
17 Ockendon, John R.
9 Erban, Radek
9 Trinh, Philippe H.
6 Gavaghan, David J.
6 King, John Robert
5 Fitt, Alistair D.
5 Howison, Samuel Dexter
5 Maini, Philip Kumar
5 Please, Colin P.
4 Bruna, Maria
4 Carpio, Ana
4 Du, Qiang
4 Gunzburger, Max D.
4 Lawry, James M. H.
4 Lustri, Christopher J.
4 McLeod, John Bryce
4 Pathmanathan, Pras
4 Tew, Richard H.
4 Waters, Sarah Louise
4 Whiteley, Jonathan P.
3 Allwright, D. J.
3 Bonnet, Alexis
3 Breward, Christopher J. W.
3 Fletcher, Alexander G.
3 Goriely, Alain
3 Jones, Gareth Wyn
3 Kevrekidis, Ioannis George
3 Pulos, G. C.
3 Trefethen, Lloyd Nicholas
3 Vanden-Broeck, Jean-Marc
3 Voskoboinikov, R. E.
3 Wilmott, Zachary M.
3 Witelski, Thomas P.
2 Aftalion, Amandine
2 Aguareles, Maria
2 Charpin, Jean P. F.
2 Dalwadi, Mohit P.
2 Edwards, Carina M.
2 Flegg, Mark B.
2 Heron, D. R.
2 Howell, Peter D.
2 Kwiecinski, James A.
2 McBurnie, S. E.
2 Monneau, Régis
2 Olde Daalhuis, Adri B.
2 Oliver, James M.
2 Osborne, James M.
2 Roose, Tiina
2 Shipley, Rebecca J.
2 Taylor-King, Jake P.
2 Timms, Robert
2 Wong, Clint Y. H.
2 Zhu, Yichao
1 Adams, K. L.
1 Bain, Colin D.
1 Baratchart, Etienne
1 Basanta, David
1 Basse, Britta
1 Benilov, Eugene S.
1 Berestycki, Henri
1 Bernabeu, Miguel O.
1 Bodmer, Walter F.
1 Boeck, Thomas
1 Bordas, Rafel
1 Brady, John Michael
1 Brewster, M. E.
1 Brook, Bindi S.
1 Byrne, Helen Mary
1 Charalampidis, Efstathios G.
1 Chen, Wan
1 Coker, Elizabeth A.
1 Cooper, Jonathan E.
1 Cummings, Linda J.
1 Dhawan, Andrew
1 Dimakopoulos, Aggelos S.
1 Dunn, Sara-Jane
1 Elliott, Charles M.
1 Evans, Jack
1 Fisher, Kerry D.
1 Fong, Duncan
1 Foster, Jamie M.
1 Franz, Benjamin
1 Garny, Alan
1 Gillow, K. A.
1 Griffiths, Ian M.
1 Hall, Cameron L.
1 Hammoud, Naima
1 Hastings, Stuart P.
1 Head, A. K.
1 Hewett, David P.
1 Hinch, Robert
1 Holden, E. C.
1 Howls, Christopher John
1 Hunton, B. J.
1 Isaacson, Samuel A.
1 Jawad, Rossa
1 Jia, Fei
1 Johnston, Matthew D.
1 Kaouri, Katerina
1 Kavousanakis, Michail E.
...and 48 more Co-Authors
all top 5

Serials

34 SIAM Journal on Applied Mathematics
14 Journal of Fluid Mechanics
14 European Journal of Applied Mathematics
7 Bulletin of Mathematical Biology
6 Physica D
6 SIAM Review
5 IMA Journal of Applied Mathematics
4 Quarterly Journal of Mechanics and Applied Mathematics
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Journal of Theoretical Biology
2 Journal of Engineering Mathematics
2 Nonlinearity
2 Wave Motion
2 Quarterly of Applied Mathematics
2 Physics of Fluids
2 The ANZIAM Journal
2 Mathematical Medicine and Biology
1 American Mathematical Monthly
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 International Journal of Non-Linear Mechanics
1 Journal of Mathematical Biology
1 Journal of the Mechanics and Physics of Solids
1 Journal of Statistical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Duke Mathematical Journal
1 Applied Mathematics Letters
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal of Elasticity
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Journal on Mathematical Analysis
1 Advances in Mathematical Sciences and Applications
1 SIAM Journal on Scientific Computing
1 Communications on Applied Nonlinear Analysis
1 Mathematics and Mechanics of Solids
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Cambridge Texts in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 1,300 times in 923 Documents Cited by Year
Mathematical models of avascular tumor growth. Zbl 1117.93011
Roose, Tiina; Chapman, S. Jonathan; Maini, Philip K.
146
2007
Macroscopic models for superconductivity. Zbl 0769.73068
Chapman, S. J.; Howison, S. D.; Ockendon, J. R.
69
1992
The flow and solidification of a thin fluid film on an arbitrary three-dimensional surface. Zbl 1185.76270
Myers, T. G.; Charpin, J. P. F.; Chapman, S. J.
40
2002
Exponential asymptotics of localised patterns and snaking bifurcation diagrams. Zbl 1156.37321
Chapman, S. J.; Kozyreff, G.
37
2009
A mean-field model of superconducting vortices. Zbl 0849.35135
Chapman, S. J.; Rubinstein, J.; Schatzman, M.
34
1996
A hierarchy of models for type-II superconductors. Zbl 0967.82014
Chapman, S. J.
33
2000
Multiscale modelling of fluid and drug transport in vascular tumours. Zbl 1198.92028
Shipley, Rebecca J.; Chapman, S. Jonathan
31
2010
Superheating field of type II superconductors. Zbl 0839.35129
Chapman, S. Jonathan
29
1995
Subcritical transition in channel flows. Zbl 1037.76023
Chapman, S. Jonathan
26
2002
Vortex pinning by inhomogeneities in type-II superconductors. Zbl 1039.82510
Chapman, S. J.; Richardson, G.
25
1997
Exponential asymptotics and Stokes lines in nonlinear ordinary differential equations. Zbl 0916.34017
Chapman, S. J.; King, J. R.; Adams, K. L.
25
1998
A Ginzburg-Landau type model of superconducting normal junctions including Josephson junctions. Zbl 0843.35120
Chapman, S. Jonathan; Du, Qiang; Gunzburger, Max D.
24
1995
Exponential asymptotics and gravity waves. Zbl 1177.76044
Chapman, S. Jonathan; Vanden-Broeck, Jean-Marc
24
2006
Stokes phenomenon and matched asymptotic expansions. Zbl 0834.41026
Olde Daalhuis, A. B.; Chapman, S. J.; King, J. R.; Ockendon, J. R.; Tew, R. H.
23
1995
Modeling growth in biological materials. Zbl 1247.74042
Jones, Gareth Wyn; Chapman, S. Jonathan
23
2012
A semi-elliptic system arising in the theory of type-II superconductivity. Zbl 0866.35030
Berestycki, H.; Bonnet, A.; Chapman, S. J.
21
1994
Derivation of the bidomain equations for a beating heart with a general microstructure. Zbl 1243.35015
Richardson, G.; Chapman, S. J.
21
2011
On the theory of complex rays. Zbl 0935.78004
Chapman, S. J.; Lawry, J. M. H.; Ockendon, J. R.; Tew, R. H.
20
1999
A model for variable thickness superconducting thin films. Zbl 0862.35119
Chapman, S. J.; Du, Qiang; Gunzburger, M. D.
20
1996
Analysis of Brownian dynamics simulations of reversible bimolecular reactions. Zbl 1229.80023
Lipková, Jana; Zygalakis, Konstantinos C.; Chapman, S. Jonathan; Erban, Radek
19
2011
Diffusion in spatially varying porous media. Zbl 1320.35038
Bruna, Maria; Chapman, S. Jonathan
17
2015
Multiscale reaction-diffusion algorithms: PDE-assisted Brownian dynamics. Zbl 1273.35328
Franz, Benjamin; Flegg, Mark B.; Chapman, S. Jonathan; Erban, Radek
17
2013
On the rôle of Stokes lines in the selection of Saffman-Taylor fingers with small surface tension. Zbl 0949.76022
Chapman, S. J.
16
1999
Chaste: A test-driven approach to software development for biological modelling. Zbl 1197.68038
Pitt-Francis, Joe; Pathmanathan, Pras; Bernabeu, Miguel O.; Bordas, Rafel; Cooper, Jonathan; Fletcher, Alexander G.; Mirams, Gary R.; Murray, Philip; Osborne, James M.; Walter, Alex; Chapman, S. Jon; Garny, Alan; Van Leeuwen, Ingeborg M. M.; Maini, Philip K.; Rodríguez, Blanca; Waters, Sarah L.; Whiteley, Jonathan P.; Byrne, Helen M.; Gavaghan, David J.
16
2009
Cardiac electromechanics: the effect of contraction model on the mathematical problem and accuracy of the numerical scheme. Zbl 1250.74019
Pathmanathan, P.; Chapman, S. J.; Gavaghan, D. J.; Whiteley, J. P.
16
2010
Multiscale modeling of fluid transport in tumors. Zbl 1169.92307
Chapman, S. Jonathan; Shipley, Rebecca J.; Jawad, Rossa
15
2008
Wave packet pseudomodes of twisted Toeplitz matrices. Zbl 1055.15014
Trefethen, Lloyd N.; Chapman, S. J.
14
2004
On liquid films on an inclined plate. Zbl 1205.76043
Benilov, E. S.; Chapman, S. J.; McLeod, J. B.; Ockendon, J. R.; Zubkov, V. S.
14
2010
Wave solutions for a discrete reaction-diffusion equation. Zbl 0968.35059
Carpio, A.; Chapman, S. J.; Hastings, S.; McLeod, J. B.
13
2000
A mean-field model of superconducting vortices in three dimensions. Zbl 0836.76014
Chapman, S. Jonathan
13
1995
Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model. Zbl 1200.80010
Erban, Radek; Chapman, S. Jonathan; Kevrekidis, Ioannis G.; Vejchodský, Tomáš
13
2009
Exponential asymptotics and capillary waves. Zbl 1034.76008
Chapman, S. J.; Vanden-Broeck, J.-M.
13
2002
Do waveless ships exist? results for single-cornered hulls. Zbl 1241.76098
Trinh, Philippe H.; Chapman, S. Jonathan; Vanden-Broeck, Jean-Marc
13
2011
Convergence of Meissner minimizers of the Ginzburg-Landau energy of superconductivity as \(\kappa\to +\infty\). Zbl 0970.35031
Bonnet, A.; Chapman, S. J.; Monneau, R.
12
2000
Asymptotics beyond all orders and Stokes lines in nonlinear differential-difference equations. Zbl 0999.34072
King, J. R.; Chapman, S. J.
12
2001
Nucleation of superconductivity in decreasing fields. I, II. Zbl 0820.35124
Chapman, S. J.
12
1994
Exponential asymptotics and Stokes lines in a partial differential equation. Zbl 1206.34076
Chapman, S. Jonathan; Mortimer, David B.
12
2005
Exponential asymptotics of free surface flow due to a line source. Zbl 1282.76068
Lustri, Christopher J.; McCue, Scott W.; Chapman, S. Jonathan
12
2013
New gravity-capillary waves at low speeds. I: Linear geometries. Zbl 1287.76068
Trinh, Philippe H.; Chapman, S. Jonathan
12
2013
On the proportion of cancer stem cells in a tumour. Zbl 1407.92045
Johnston, Matthew D.; Maini, Philip K.; Jonathan Chapman, S.; Edwards, Carina M.; Bodmer, Walter F.
12
2010
The selection of Saffman-Taylor fingers by kinetic undercooling. Zbl 1028.76005
Chapman, S. J.; King, J. R.
11
2003
New gravity-capillary waves at low speeds. II: Nonlinear geometries. Zbl 1287.76069
Trinh, Philippe H.; Chapman, S. Jonathan
11
2013
Motion of vortices in type II superconductors. Zbl 0836.76015
Chapman, S. Jonathan; Richardson, G.
10
1995
Drums that sound the same. Zbl 0849.35084
Chapman, S. J.
10
1995
Nucleation of vortices in type-II superconductors in increasing magnetic fields. Zbl 0895.76098
Chapman, S. J.
10
1997
Exponentially slow transitions on a Markov chain: the frequency of calcium sparks. Zbl 1084.92015
Hinch, Robert; Chapman, S. Jon
10
2005
On the Lawrence-Doniach and anisotropic Ginzburg-Landau models for layered superconductors. Zbl 0819.35133
Chapman, S. Jonathan; Du, Qiang; Gunzburger, Max D.
9
1995
Macroscopic models of superconductivity. Zbl 0997.82046
Chapman, S. J.
9
2000
Asymptotic analysis of a system of algebraic equations arising in dislocation theory. Zbl 1222.41041
Hall, Cameron L.; Chapman, S. Jonathan; Ockendon, John R.
9
2010
Exponential asymptotics for thin film rupture. Zbl 1272.34121
Chapman, S. Jonathan; Trinh, Philippe H.; Witelski, Thomas P.
9
2013
Biomechanical modelling of colorectal crypt budding and fission. Zbl 1298.92048
Edwards, Carina M.; Chapman, S. Jonathan
9
2007
Scalar wave diffraction by tangent rays. Zbl 1074.76613
Tew, R. H.; Chapman, S. J.; King, J. R.; Ockendon, J. R.; Zafarullah, I.
9
2000
Mathematical modeling of monoclonal conversion in the colonic crypt. Zbl 1397.92161
Fletcher, Alexander G.; Breward, Christopher J. W.; Jonathan Chapman, S.
9
2012
Mathematics of the Faraday cage. Zbl 1339.31001
Chapman, S. Jonathan; Hewett, David P.; Trefethen, Lloyd N.
8
2015
Normal/superconducting transitions in Landau-Ginzburg theory. Zbl 0732.34003
Chapman, S. J.; Howison, S. D.; McLeod, J. B.; Ockendon, J. R.
8
1991
Steady gravity waves due to a submerged source. Zbl 1294.76072
Lustri, Christopher J.; Chapman, S. Jonathan
8
2013
Simplified Ginzburg-Landau models for superconductivity valid for high kappa and high fields. Zbl 0835.35136
Chapman, S. J.; Du, Q.; Gunzburger, M. D.; Peterson, J. S.
7
1995
Asymptotic analysis of the Ginzburg-Landau model of superconductivity: Reduction to a free boundary model. Zbl 0842.35120
Chapman, S. J.
7
1995
Continuum and discrete models of dislocation pile-ups. I: Pile-up at a lock. Zbl 1170.74009
Voskoboinikov, R. E.; Chapman, S. J.; Ockendon, J. R.; Allwright, D. J.
7
2007
A nonlinear model of age and size-structured populations with applications to cell cycles. Zbl 1145.37042
Chapman, S. J.; Plank, M. J.; James, A.; Basse, B.
7
2007
Diffusion of finite-size particles in confined geometries. Zbl 1297.92022
Bruna, Maria; Chapman, S. Jonathan
7
2014
Homogenization of a row of dislocation dipoles from discrete dislocation dynamics. Zbl 1334.74010
Chapman, Stephen Jonathan; Xiang, Yang; Zhu, Yichao
6
2016
A hierarchy of models for superconducting thin films. Zbl 1126.82342
Chapman, S. J.; Heron, D. R.
6
2003
Curvature suppresses the Rayleigh-Taylor instability. Zbl 1321.76008
Trinh, Philippe H.; Kim, Hyoungsoo; Hammoud, Naima; Howell, Peter D.; Chapman, S. Jonathan; Stone, Howard A.
6
2014
The wake of a two-dimensional ship in the low-speed limit: results for multi-cornered hulls. Zbl 1325.76046
Trinh, Philippe H.; Chapman, S. Jonathan
6
2014
Why is a shock not a caustic? The higher-order Stokes phenomenon and smoothed shock formation. Zbl 1135.34044
Chapman, S. J.; Howls, C. J.; King, J. R.; Olde Daalhuis, A. B.
6
2007
On the non-universality of the error function in the smoothing of Stokes discontinuities. Zbl 0942.41019
Chapman, S. J.
5
1996
Unsteady flow over a submerged source with low Froude number. Zbl 1305.76018
Lustri, Christopher J.; Chapman, S. Jonathan
5
2014
Analysis of the two-regime method on square meshes. Zbl 1352.60118
Flegg, Mark B.; Chapman, S. Jonathan; Zheng, Likun; Erban, Radek
5
2014
Stochastic modelling of reaction-diffusion processes. Zbl 1451.60008
Erban, Radek; Chapman, S. Jonathan
5
2020
Vortices and boundaries. Zbl 0958.76014
Chapman, S. J.; Hunton, B. J.; Ockendon, J. R.
4
1998
Asymptotic analysis of a secondary bifurcation of the one-dimensional Ginzburg-Landau equations of superconductivity. Zbl 0961.82034
Aftalion, A.; Chapman, S. J.
4
2000
Asymptotics of slow flow of very small exponent power-law shear-thinning fluids in a wedge. Zbl 0855.76005
Brewster, M. E.; Chapman, S. J.; Fitt, A. D.; Please, C. P.
4
1995
Extrusion of power-law shear-thinning fluids with small exponent. Zbl 0888.76003
Chapman, S. J.; Fitt, A. D.; Please, C. P.
4
1997
Dynamics of line singularities. Zbl 0899.76065
Carpio, A.; Chapman, S. J.; Howison, S. D.; Ockendon, J. R.
4
1997
Asymptotics of edge dislocation pile-up against a bimetallic interface. Zbl 1257.74036
Voskoboinikov, R. E.; Chapman, S. J.; Mcleod, J. B.; Ockendon, J. R.
4
2009
Motion of spiral waves in the complex Ginzburg-Landau equation. Zbl 1192.37103
Aguareles, M.; Chapman, S. J.; Witelski, T.
4
2010
Shear-induced instabilities of flows through submerged vegetation. Zbl 1460.76314
Wong, Clint Y. H.; Trinh, Philippe H.; Chapman, S. Jonathan
3
2020
Non-linear modelling of breast tissue. Zbl 1146.92305
Whiteley, Jonathan; Gavaghan, David J.; Chapman, S. Jonathan; Brady, John Michael
3
2007
Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals. Zbl 0982.35124
Carpio, A.; Chapman, S. J.; Velázquez, J. L. L.
3
2001
Motion and homogenization of vortices in anisotropic type II superconductors. Zbl 0906.35104
Chapman, S. J.; Richardson, G.
3
1998
From birds to bacteria: generalised velocity jump processes with resting states. Zbl 1355.92147
Taylor-King, Jake P.; van Loon, E. Emiel; Rosser, Gabriel; Chapman, S. Jon
3
2015
Reactive boundary conditions as limits of interaction potentials for Brownian and Langevin dynamics. Zbl 1337.60118
Chapman, S. Jonathan; Erban, Radek; Isaacson, Samuel A.
3
2016
Dynamics of polydisperse irreversible adsorption: A pharmacological example. Zbl 1114.92037
Erban, Radek; Chapman, S. Jonathan; Fisher, Kerry D.; Kevrekidis, Ioannis G.; Seymour, Leonard W.
3
2007
A mathematical model for mechanically-induced deterioration of the binder in lithium-ion electrodes. Zbl 1386.74037
Foster, Jamie M.; Chapman, S. J.; Richardson, G.; Protas, B.
3
2017
Diffusion of particles with short-range interactions. Zbl 1384.35129
Bruna, Maria; Chapman, S. Jonathan; Robinson, Martin
3
2017
Exponential asymptotics with coalescing singularities. Zbl 1312.76007
Trinh, Philippe H.; Chapman, S. Jonathan
3
2015
Integral constraints in multiple-scales problems. Zbl 1387.76105
Chapman, S. J.; McBurnie, S. E.
3
2015
Modelling the role of the basement membrane beneath a growing epithelial monolayer. Zbl 1397.92159
Dunn, Sara-Jane; Fletcher, Alexander G.; Chapman, S. Jonathan; Gavaghan, David J.; Osborne, James M.
3
2012
Three-dimensional capillary waves due to a submerged source with small surface tension. Zbl 1421.76045
Lustri, Christopher J.; Pethiyagoda, Ravindra; Chapman, S. Jonathan
3
2019
Axisymmetric buckling of a spherical shell embedded in an elastic medium under uniaxial stress at infinity. Zbl 1153.74019
Jones, G. W.; Chapman, S. J.; Allwright, D. J.
2
2008
Asymptotic analysis of the bifurcation diagram for symmetric one-dimensional solutions of the Ginzburg-Landau equations. Zbl 0941.34028
Aftalion, A.; Chapman, S. J.
2
1999
On the approximation of the eigenvalues of an annulus using complex rays. Zbl 0934.35108
Chapman, S. J.
2
1999
Bifurcation to vortex solutions in superconducting films. Zbl 0878.35017
Boeck, T.; Chapman, S. J.
2
1997
The motion of superconducting vortices in thin films of varying thickness. Zbl 0907.35128
Chapman, S. J.; Heron, D. R.
2
1998
The Kelly criterion for spread bets. Zbl 1310.91050
Chapman, S. J.
2
2007
Self-assembly of a filament by curvature-inducing proteins. Zbl 1376.92019
Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain
2
2017
Effective transport properties of lattices. Zbl 1406.60110
Chapman, S. Jonathan; Shabala, Alex
2
2017
A natural transition between equilibrium patterns of dislocation dipoles. Zbl 1305.74014
Zhu, Yichao; Chapman, Stephen Jonathan
2
2014
Asymptotic reduction of a lithium-ion pouch cell model. Zbl 1462.78019
Timms, Robert; Marquis, Scott G.; Sulzer, Valentin; Please, Colin P.; Chapman, S. Jonathan
1
2021
Asymptotic reduction of a lithium-ion pouch cell model. Zbl 1462.78019
Timms, Robert; Marquis, Scott G.; Sulzer, Valentin; Please, Colin P.; Chapman, S. Jonathan
1
2021
Stochastic modelling of reaction-diffusion processes. Zbl 1451.60008
Erban, Radek; Chapman, S. Jonathan
5
2020
Shear-induced instabilities of flows through submerged vegetation. Zbl 1460.76314
Wong, Clint Y. H.; Trinh, Philippe H.; Chapman, S. Jonathan
3
2020
Three-dimensional capillary waves due to a submerged source with small surface tension. Zbl 1421.76045
Lustri, Christopher J.; Pethiyagoda, Ravindra; Chapman, S. Jonathan
3
2019
A simple mechanochemical model for calcium signalling in embryonic epithelial cells. Zbl 1417.34103
Kaouri, K.; Maini, P. K.; Skourides, P. A.; Christodoulou, N.; Chapman, S. J.
1
2019
The effect of ions on the motion of an oil slug through a charged capillary. Zbl 1419.76200
Wilmott, Z. M.; Breward, C. J. W.; Chapman, S. J.
1
2018
A mathematical model for mechanically-induced deterioration of the binder in lithium-ion electrodes. Zbl 1386.74037
Foster, Jamie M.; Chapman, S. J.; Richardson, G.; Protas, B.
3
2017
Diffusion of particles with short-range interactions. Zbl 1384.35129
Bruna, Maria; Chapman, S. Jonathan; Robinson, Martin
3
2017
Self-assembly of a filament by curvature-inducing proteins. Zbl 1376.92019
Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain
2
2017
Effective transport properties of lattices. Zbl 1406.60110
Chapman, S. Jonathan; Shabala, Alex
2
2017
Analysis of Carrier’s problem. Zbl 1410.34044
Chapman, S. J.; Farrell, Patrick E.
1
2017
Homogenization of a row of dislocation dipoles from discrete dislocation dynamics. Zbl 1334.74010
Chapman, Stephen Jonathan; Xiang, Yang; Zhu, Yichao
6
2016
Reactive boundary conditions as limits of interaction potentials for Brownian and Langevin dynamics. Zbl 1337.60118
Chapman, S. Jonathan; Erban, Radek; Isaacson, Samuel A.
3
2016
On the boundary layer structure near a highly permeable porous interface. Zbl 1422.76050
Dalwadi, Mohit P.; Chapman, S. Jonathan; Waters, Sarah L.; Oliver, James M.
1
2016
Diffusion in spatially varying porous media. Zbl 1320.35038
Bruna, Maria; Chapman, S. Jonathan
17
2015
Mathematics of the Faraday cage. Zbl 1339.31001
Chapman, S. Jonathan; Hewett, David P.; Trefethen, Lloyd N.
8
2015
From birds to bacteria: generalised velocity jump processes with resting states. Zbl 1355.92147
Taylor-King, Jake P.; van Loon, E. Emiel; Rosser, Gabriel; Chapman, S. Jon
3
2015
Exponential asymptotics with coalescing singularities. Zbl 1312.76007
Trinh, Philippe H.; Chapman, S. Jonathan
3
2015
Integral constraints in multiple-scales problems. Zbl 1387.76105
Chapman, S. J.; McBurnie, S. E.
3
2015
Diffusion of finite-size particles in confined geometries. Zbl 1297.92022
Bruna, Maria; Chapman, S. Jonathan
7
2014
Curvature suppresses the Rayleigh-Taylor instability. Zbl 1321.76008
Trinh, Philippe H.; Kim, Hyoungsoo; Hammoud, Naima; Howell, Peter D.; Chapman, S. Jonathan; Stone, Howard A.
6
2014
The wake of a two-dimensional ship in the low-speed limit: results for multi-cornered hulls. Zbl 1325.76046
Trinh, Philippe H.; Chapman, S. Jonathan
6
2014
Unsteady flow over a submerged source with low Froude number. Zbl 1305.76018
Lustri, Christopher J.; Chapman, S. Jonathan
5
2014
Analysis of the two-regime method on square meshes. Zbl 1352.60118
Flegg, Mark B.; Chapman, S. Jonathan; Zheng, Likun; Erban, Radek
5
2014
A natural transition between equilibrium patterns of dislocation dipoles. Zbl 1305.74014
Zhu, Yichao; Chapman, Stephen Jonathan
2
2014
From Brownian dynamics to Markov chain: an ion channel example. Zbl 1308.92026
Chen, Wan; Erban, Radek; Chapman, S. Jonathan
1
2014
Multiscale reaction-diffusion algorithms: PDE-assisted Brownian dynamics. Zbl 1273.35328
Franz, Benjamin; Flegg, Mark B.; Chapman, S. Jonathan; Erban, Radek
17
2013
Exponential asymptotics of free surface flow due to a line source. Zbl 1282.76068
Lustri, Christopher J.; McCue, Scott W.; Chapman, S. Jonathan
12
2013
New gravity-capillary waves at low speeds. I: Linear geometries. Zbl 1287.76068
Trinh, Philippe H.; Chapman, S. Jonathan
12
2013
New gravity-capillary waves at low speeds. II: Nonlinear geometries. Zbl 1287.76069
Trinh, Philippe H.; Chapman, S. Jonathan
11
2013
Exponential asymptotics for thin film rupture. Zbl 1272.34121
Chapman, S. Jonathan; Trinh, Philippe H.; Witelski, Thomas P.
9
2013
Steady gravity waves due to a submerged source. Zbl 1294.76072
Lustri, Christopher J.; Chapman, S. Jonathan
8
2013
Modeling growth in biological materials. Zbl 1247.74042
Jones, Gareth Wyn; Chapman, S. Jonathan
23
2012
Mathematical modeling of monoclonal conversion in the colonic crypt. Zbl 1397.92161
Fletcher, Alexander G.; Breward, Christopher J. W.; Jonathan Chapman, S.
9
2012
Modelling the role of the basement membrane beneath a growing epithelial monolayer. Zbl 1397.92159
Dunn, Sara-Jane; Fletcher, Alexander G.; Chapman, S. Jonathan; Gavaghan, David J.; Osborne, James M.
3
2012
An asymptotic theory for the re-equilibration of a micellar surfactant solution. Zbl 1246.82090
Griffiths, I. M.; Bain, C. D.; Breward, C. J. W.; Chapman, S. J.; Howell, P. D.; Waters, S. L.
1
2012
Derivation of the bidomain equations for a beating heart with a general microstructure. Zbl 1243.35015
Richardson, G.; Chapman, S. J.
21
2011
Analysis of Brownian dynamics simulations of reversible bimolecular reactions. Zbl 1229.80023
Lipková, Jana; Zygalakis, Konstantinos C.; Chapman, S. Jonathan; Erban, Radek
19
2011
Do waveless ships exist? results for single-cornered hulls. Zbl 1241.76098
Trinh, Philippe H.; Chapman, S. Jonathan; Vanden-Broeck, Jean-Marc
13
2011
A unified multiple-scales approach to one-dimensional composite materials and multiphase flow. Zbl 1402.35217
Chapman, S. J.; McBurnie, S. E.
1
2011
Four bugs on a rectangle. Zbl 1231.91030
Chapman, S. J.; Lottes, James; Trefethen, Lloyd N.
1
2011
Multiscale modelling of fluid and drug transport in vascular tumours. Zbl 1198.92028
Shipley, Rebecca J.; Chapman, S. Jonathan
31
2010
Cardiac electromechanics: the effect of contraction model on the mathematical problem and accuracy of the numerical scheme. Zbl 1250.74019
Pathmanathan, P.; Chapman, S. J.; Gavaghan, D. J.; Whiteley, J. P.
16
2010
On liquid films on an inclined plate. Zbl 1205.76043
Benilov, E. S.; Chapman, S. J.; McLeod, J. B.; Ockendon, J. R.; Zubkov, V. S.
14
2010
On the proportion of cancer stem cells in a tumour. Zbl 1407.92045
Johnston, Matthew D.; Maini, Philip K.; Jonathan Chapman, S.; Edwards, Carina M.; Bodmer, Walter F.
12
2010
Asymptotic analysis of a system of algebraic equations arising in dislocation theory. Zbl 1222.41041
Hall, Cameron L.; Chapman, S. Jonathan; Ockendon, John R.
9
2010
Motion of spiral waves in the complex Ginzburg-Landau equation. Zbl 1192.37103
Aguareles, M.; Chapman, S. J.; Witelski, T.
4
2010
Exponential asymptotics of localised patterns and snaking bifurcation diagrams. Zbl 1156.37321
Chapman, S. J.; Kozyreff, G.
37
2009
Chaste: A test-driven approach to software development for biological modelling. Zbl 1197.68038
Pitt-Francis, Joe; Pathmanathan, Pras; Bernabeu, Miguel O.; Bordas, Rafel; Cooper, Jonathan; Fletcher, Alexander G.; Mirams, Gary R.; Murray, Philip; Osborne, James M.; Walter, Alex; Chapman, S. Jon; Garny, Alan; Van Leeuwen, Ingeborg M. M.; Maini, Philip K.; Rodríguez, Blanca; Waters, Sarah L.; Whiteley, Jonathan P.; Byrne, Helen M.; Gavaghan, David J.
16
2009
Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model. Zbl 1200.80010
Erban, Radek; Chapman, S. Jonathan; Kevrekidis, Ioannis G.; Vejchodský, Tomáš
13
2009
Asymptotics of edge dislocation pile-up against a bimetallic interface. Zbl 1257.74036
Voskoboinikov, R. E.; Chapman, S. J.; Mcleod, J. B.; Ockendon, J. R.
4
2009
Inverse membrane problems in elasticity. Zbl 1156.74346
Pathmanathan, P.; Chapman, S. J.; Gavaghan, D. J.
1
2009
Multiscale modeling of fluid transport in tumors. Zbl 1169.92307
Chapman, S. Jonathan; Shipley, Rebecca J.; Jawad, Rossa
15
2008
Axisymmetric buckling of a spherical shell embedded in an elastic medium under uniaxial stress at infinity. Zbl 1153.74019
Jones, G. W.; Chapman, S. J.; Allwright, D. J.
2
2008
Mathematical models of avascular tumor growth. Zbl 1117.93011
Roose, Tiina; Chapman, S. Jonathan; Maini, Philip K.
146
2007
Biomechanical modelling of colorectal crypt budding and fission. Zbl 1298.92048
Edwards, Carina M.; Chapman, S. Jonathan
9
2007
Continuum and discrete models of dislocation pile-ups. I: Pile-up at a lock. Zbl 1170.74009
Voskoboinikov, R. E.; Chapman, S. J.; Ockendon, J. R.; Allwright, D. J.
7
2007
A nonlinear model of age and size-structured populations with applications to cell cycles. Zbl 1145.37042
Chapman, S. J.; Plank, M. J.; James, A.; Basse, B.
7
2007
Why is a shock not a caustic? The higher-order Stokes phenomenon and smoothed shock formation. Zbl 1135.34044
Chapman, S. J.; Howls, C. J.; King, J. R.; Olde Daalhuis, A. B.
6
2007
Non-linear modelling of breast tissue. Zbl 1146.92305
Whiteley, Jonathan; Gavaghan, David J.; Chapman, S. Jonathan; Brady, John Michael
3
2007
Dynamics of polydisperse irreversible adsorption: A pharmacological example. Zbl 1114.92037
Erban, Radek; Chapman, S. Jonathan; Fisher, Kerry D.; Kevrekidis, Ioannis G.; Seymour, Leonard W.
3
2007
The Kelly criterion for spread bets. Zbl 1310.91050
Chapman, S. J.
2
2007
Exponential asymptotics and gravity waves. Zbl 1177.76044
Chapman, S. Jonathan; Vanden-Broeck, Jean-Marc
24
2006
Modelling the flow and solidification of a thin liquid film on a three-dimensional surface. Zbl 1184.76622
Myers, T. G.; Charpin, J. P. F.; Chapman, S. J.
1
2006
A mathematical model for simultaneous spatio-temporal dynamics of calcium and inositol 1,4,5-trisphosphate in madin-darby canine kidney epithelial cells. Zbl 1296.92116
Roose, T.; Chapman, S. J.; Maini, P. K.
1
2006
Exponential asymptotics and Stokes lines in a partial differential equation. Zbl 1206.34076
Chapman, S. Jonathan; Mortimer, David B.
12
2005
Exponentially slow transitions on a Markov chain: the frequency of calcium sparks. Zbl 1084.92015
Hinch, Robert; Chapman, S. Jon
10
2005
Wave packet pseudomodes of twisted Toeplitz matrices. Zbl 1055.15014
Trefethen, Lloyd N.; Chapman, S. J.
14
2004
The selection of Saffman-Taylor fingers by kinetic undercooling. Zbl 1028.76005
Chapman, S. J.; King, J. R.
11
2003
A hierarchy of models for superconducting thin films. Zbl 1126.82342
Chapman, S. J.; Heron, D. R.
6
2003
The flow and solidification of a thin fluid film on an arbitrary three-dimensional surface. Zbl 1185.76270
Myers, T. G.; Charpin, J. P. F.; Chapman, S. J.
40
2002
Subcritical transition in channel flows. Zbl 1037.76023
Chapman, S. Jonathan
26
2002
Exponential asymptotics and capillary waves. Zbl 1034.76008
Chapman, S. J.; Vanden-Broeck, J.-M.
13
2002
Asymptotics beyond all orders and Stokes lines in nonlinear differential-difference equations. Zbl 0999.34072
King, J. R.; Chapman, S. J.
12
2001
Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals. Zbl 0982.35124
Carpio, A.; Chapman, S. J.; Velázquez, J. L. L.
3
2001
Edge diffraction of complex rays. Zbl 1074.78518
Chapman, S. J.; Lawry, J. M. H.; Ockendon, J. R.; Saward, V. H.
1
2001
A hierarchy of models for type-II superconductors. Zbl 0967.82014
Chapman, S. J.
33
2000
Wave solutions for a discrete reaction-diffusion equation. Zbl 0968.35059
Carpio, A.; Chapman, S. J.; Hastings, S.; McLeod, J. B.
13
2000
Convergence of Meissner minimizers of the Ginzburg-Landau energy of superconductivity as \(\kappa\to +\infty\). Zbl 0970.35031
Bonnet, A.; Chapman, S. J.; Monneau, R.
12
2000
Macroscopic models of superconductivity. Zbl 0997.82046
Chapman, S. J.
9
2000
Scalar wave diffraction by tangent rays. Zbl 1074.76613
Tew, R. H.; Chapman, S. J.; King, J. R.; Ockendon, J. R.; Zafarullah, I.
9
2000
Asymptotic analysis of a secondary bifurcation of the one-dimensional Ginzburg-Landau equations of superconductivity. Zbl 0961.82034
Aftalion, A.; Chapman, S. J.
4
2000
On the theory of complex rays. Zbl 0935.78004
Chapman, S. J.; Lawry, J. M. H.; Ockendon, J. R.; Tew, R. H.
20
1999
On the rôle of Stokes lines in the selection of Saffman-Taylor fingers with small surface tension. Zbl 0949.76022
Chapman, S. J.
16
1999
Asymptotic analysis of the bifurcation diagram for symmetric one-dimensional solutions of the Ginzburg-Landau equations. Zbl 0941.34028
Aftalion, A.; Chapman, S. J.
2
1999
On the approximation of the eigenvalues of an annulus using complex rays. Zbl 0934.35108
Chapman, S. J.
2
1999
Ray theory for high-Péclet-number convection-diffusion. Zbl 1026.76049
Chapman, S. J.; Lawry, J. M. H.; Ockendon, J. R.
1
1999
Exponential asymptotics and Stokes lines in nonlinear ordinary differential equations. Zbl 0916.34017
Chapman, S. J.; King, J. R.; Adams, K. L.
25
1998
Vortices and boundaries. Zbl 0958.76014
Chapman, S. J.; Hunton, B. J.; Ockendon, J. R.
4
1998
Motion and homogenization of vortices in anisotropic type II superconductors. Zbl 0906.35104
Chapman, S. J.; Richardson, G.
3
1998
The motion of superconducting vortices in thin films of varying thickness. Zbl 0907.35128
Chapman, S. J.; Heron, D. R.
2
1998
Vortex pinning by inhomogeneities in type-II superconductors. Zbl 1039.82510
Chapman, S. J.; Richardson, G.
25
1997
Nucleation of vortices in type-II superconductors in increasing magnetic fields. Zbl 0895.76098
Chapman, S. J.
10
1997
Extrusion of power-law shear-thinning fluids with small exponent. Zbl 0888.76003
Chapman, S. J.; Fitt, A. D.; Please, C. P.
4
1997
Dynamics of line singularities. Zbl 0899.76065
Carpio, A.; Chapman, S. J.; Howison, S. D.; Ockendon, J. R.
4
1997
Bifurcation to vortex solutions in superconducting films. Zbl 0878.35017
Boeck, T.; Chapman, S. J.
2
1997
Asymptotics of violent surface motion. Zbl 0883.76011
Chapman, S. J.; Gillow, K. A.; Howison, S. D.; Ockendon, J. R.
1
1997
Vortices, dislocations and line singularities in partial differential equations. Zbl 0886.00011
1
1997
A mean-field model of superconducting vortices. Zbl 0849.35135
Chapman, S. J.; Rubinstein, J.; Schatzman, M.
34
1996
A model for variable thickness superconducting thin films. Zbl 0862.35119
Chapman, S. J.; Du, Qiang; Gunzburger, M. D.
20
1996
...and 16 more Documents
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Cited by 1,493 Authors

31 Chapman, Stephen Jonathan
23 Pan, Xingbin
16 Lustri, Christopher J.
15 Erban, Radek
14 Trinh, Philippe H.
13 Maini, Philip Kumar
12 Byrne, Helen Mary
12 Du, Qiang
11 Almog, Yaniv
11 Helffer, Bernard
11 Serfaty, Sylvia
11 van Meurs, Patrick
10 Lowengrub, John Samuel
10 McCue, Scott William
9 Penta, Raimondo
9 Ruiz-Baier, Ricardo
8 Bronsard, Lia
8 King, John Robert
8 Quarteroni, Alfio M.
7 Alama, Stan
7 Fletcher, Alexander G.
7 Perthame, Benoît
7 Please, Colin P.
6 Bolley, Catherine
6 Chaplain, Mark A. J.
6 Cristini, Vittorio
6 Monneau, Régis
6 Moroney, Timothy J.
6 Ockendon, John R.
6 O’Dea, Reuben D.
6 Ramírez-Torres, Ariel
6 Sandier, Etienne
6 Sandstede, Björn
6 Whiteley, Jonathan P.
5 Bruna, Maria
5 Chen, Zhiming
5 Griffiths, Ian M.
5 Gunzburger, Max D.
5 Hocking, Graeme Charles
5 Hoffmann, Karl-Heinz
5 Hubbard, Matthew E.
5 Isaacson, Samuel A.
5 Jian, Huai-Yu
5 Kachmar, Ayman
5 Liu, Zuhan
5 Masmoudi, Nader
5 Merodio, Jose
5 Pethiyagoda, Ravindra
5 Rodríguez-Ramos, Reinaldo
5 Wu, Junde
5 Xie, Xuming
5 Yu, Wanghui
4 Aftalion, Amandine
4 Aguareles, Maria
4 Baker, Ruth Elizabeth
4 Bedrossian, Jacob
4 Bokes, Pavol
4 Cho, Heyrim
4 Collis, Joe
4 Dalwadi, Mohit P.
4 Fabrizio, Mauro
4 Frieboes, Hermann B.
4 Hewett, David P.
4 Howell, Peter D.
4 Howls, Christopher John
4 Kim, Junseok
4 Kim, Kwang Ik
4 Kolbe, Niklas
4 Levy, Doron
4 Lu, Kening
4 Mainini, Edoardo
4 Pavarino, Luca Franco
4 Peletier, Mark Adriaan
4 Poignard, Clair
4 Romanazzi, Giuseppe
4 Scacchi, Simone
4 Sigal, Israel Michael
4 Slodička, Marián
4 Sokołowski, Jan
4 Spirn, Daniel P.
4 Ting, Fan
4 Vauchelet, Nicolas
4 Vazquez, Juan Luis
4 Wise, Steven M.
4 Witelski, Thomas P.
3 Alarcón, Tomás
3 Ambrosi, Davide
3 Aramaki, Junichi
3 Berlyand, Leonid V.
3 Bottaro, Alessandro
3 Bramburger, Jason J.
3 Carrillo de la Plata, José Antonio
3 Champneys, Alan R.
3 Colin, Thierry
3 Craster, Richard V.
3 Dallaston, Michael Charles
3 Daly, Keith R.
3 de Figueiredo, Isabel Maria Narra
3 Del Castillo, Pierre
3 Domschke, Pia
...and 1,393 more Authors
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Cited in 196 Serials

63 Journal of Fluid Mechanics
44 Journal of Theoretical Biology
37 Bulletin of Mathematical Biology
33 Journal of Computational Physics
32 Physica D
30 SIAM Journal on Applied Mathematics
29 European Journal of Applied Mathematics
27 Journal of Mathematical Biology
21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
20 Journal of Mathematical Physics
18 Archive for Rational Mechanics and Analysis
17 Journal of Differential Equations
15 Computer Methods in Applied Mechanics and Engineering
15 Journal of Engineering Mathematics
15 Physics of Fluids
14 Journal of Mathematical Analysis and Applications
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Mathematical Biosciences
11 Applied Mathematics and Computation
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 SIAM Journal on Applied Dynamical Systems
10 Calculus of Variations and Partial Differential Equations
10 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
9 Communications in Mathematical Physics
9 SIAM Journal on Mathematical Analysis
8 International Journal of Engineering Science
8 Wave Motion
7 Applicable Analysis
7 Computers & Mathematics with Applications
7 Journal of the Mechanics and Physics of Solids
7 Nonlinearity
7 Journal of Computational and Applied Mathematics
7 Numerical Functional Analysis and Optimization
7 Multiscale Modeling & Simulation
6 Transactions of the American Mathematical Society
6 Applied Mathematics Letters
6 Journal of Scientific Computing
6 Applied Mathematical Modelling
6 Journal of Dynamics and Differential Equations
6 Discrete and Continuous Dynamical Systems. Series B
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Mathematics and Computers in Simulation
5 Applied Numerical Mathematics
5 Journal of Nonlinear Science
5 The ANZIAM Journal
5 Nonlinear Analysis. Real World Applications
5 Journal of Physics A: Mathematical and Theoretical
4 Communications on Pure and Applied Mathematics
4 Mathematical Methods in the Applied Sciences
4 Physica A
4 SIAM Journal on Numerical Analysis
4 Mathematical and Computer Modelling
4 Communications in Partial Differential Equations
4 Journal of Elasticity
4 Continuum Mechanics and Thermodynamics
4 SIAM Journal on Scientific Computing
4 Computational and Applied Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 European Journal of Mechanics. B. Fluids
4 Journal of Applied Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Analysis and Applications (Singapore)
4 Mathematical Biosciences and Engineering
3 Chaos, Solitons and Fractals
3 Quarterly of Applied Mathematics
3 Science in China. Series A
3 Discrete and Continuous Dynamical Systems
3 Journal of Mathematical Chemistry
3 Mathematics and Mechanics of Solids
3 Acta Mathematica Sinica. English Series
3 Archives of Computational Methods in Engineering
3 International Journal for Numerical Methods in Biomedical Engineering
3 AIMS Mathematics
2 Acta Mechanica
2 Journal of Statistical Physics
2 Mathematics of Computation
2 Reviews in Mathematical Physics
2 Annales de l’Institut Fourier
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Journal of Functional Analysis
2 Meccanica
2 Memoirs of the American Mathematical Society
2 Chinese Annals of Mathematics. Series B
2 Acta Applicandae Mathematicae
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Numerical Methods for Partial Differential Equations
2 Journal of the American Mathematical Society
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Advances in Computational Mathematics
2 Abstract and Applied Analysis
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Journal of Biological Systems
2 Annales Henri Poincaré
2 Dynamical Systems
2 Journal of Applied Mathematics and Computing
2 Computational & Mathematical Methods in Medicine
2 Communications in Computational Physics
...and 96 more Serials
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Cited in 42 Fields

444 Partial differential equations (35-XX)
312 Biology and other natural sciences (92-XX)
211 Fluid mechanics (76-XX)
196 Statistical mechanics, structure of matter (82-XX)
151 Numerical analysis (65-XX)
95 Mechanics of deformable solids (74-XX)
84 Ordinary differential equations (34-XX)
56 Optics, electromagnetic theory (78-XX)
48 Dynamical systems and ergodic theory (37-XX)
40 Probability theory and stochastic processes (60-XX)
31 Calculus of variations and optimal control; optimization (49-XX)
30 Global analysis, analysis on manifolds (58-XX)
25 Classical thermodynamics, heat transfer (80-XX)
23 Operator theory (47-XX)
15 Quantum theory (81-XX)
14 Systems theory; control (93-XX)
9 Functions of a complex variable (30-XX)
8 Difference and functional equations (39-XX)
8 Computer science (68-XX)
7 Approximations and expansions (41-XX)
7 Statistics (62-XX)
6 Special functions (33-XX)
5 Integral equations (45-XX)
5 Functional analysis (46-XX)
5 Differential geometry (53-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Real functions (26-XX)
4 Potential theory (31-XX)
4 Geophysics (86-XX)
3 History and biography (01-XX)
3 Mechanics of particles and systems (70-XX)
2 Measure and integration (28-XX)
2 Integral transforms, operational calculus (44-XX)
2 Manifolds and cell complexes (57-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Mathematics education (97-XX)

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