×

European Journal of Applied Mathematics

Short Title: Eur. J. Appl. Math.
Publisher: Cambridge University Press, Cambridge
ISSN: 0956-7925; 1469-4425/e
Online: https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/all-issues
Comments: Indexed cover-to-cover; incorporated: Surveys on Mathematics for Industry (ISSN 0938-1953)
Documents Indexed: 988 Publications (since 1990)
References Indexed: 614 Publications with 16,119 References.
all top 5

Latest Issues

32, No. 6 (2021)
32, No. 5 (2021)
32, No. 3 (2021)
30, No. 6 (2019)
30, No. 5 (2019)
30, No. 4 (2019)
30, No. 3 (2019)
30, No. 2 (2019)
30, No. 1 (2019)
29, No. 6 (2018)
29, No. 5 (2018)
29, No. 4 (2018)
29, No. 3 (2018)
29, No. 2 (2018)
29, No. 1 (2018)
28, No. 6 (2017)
28, No. 5 (2017)
28, No. 4 (2017)
28, No. 3 (2017)
28, No. 2 (2017)
28, No. 1 (2017)
27, No. 6 (2016)
27, No. 5 (2016)
27, No. 4 (2016)
27, No. 3 (2016)
27, No. 2 (2016)
27, No. 1 (2016)
26, No. 6 (2015)
26, No. 5 (2015)
26, No. 4 (2015)
26, No. 3 (2015)
26, No. 2 (2015)
26, No. 1 (2015)
25, No. 6 (2014)
25, No. 5 (2014)
25, No. 4 (2014)
25, No. 3 (2014)
25, No. 2 (2014)
25, No. 1 (2014)
24, No. 6 (2013)
24, No. 5 (2013)
24, No. 4 (2013)
24, No. 3 (2013)
24, No. 2 (2013)
24, No. 1 (2013)
23, No. 6 (2012)
23, No. 5 (2012)
23, No. 4 (2012)
23, No. 3 (2012)
23, No. 2 (2012)
23, No. 1 (2012)
22, No. 6 (2011)
22, No. 5 (2011)
22, No. 4 (2011)
22, No. 3 (2011)
22, No. 2 (2011)
22, No. 1 (2011)
21, No. 6 (2010)
21, No. 4-5 (2010)
21, No. 3 (2010)
21, No. 2 (2010)
21, No. 1 (2010)
20, No. 6 (2009)
20, No. 5 (2009)
20, No. 4 (2009)
20, No. 3 (2009)
20, No. 2 (2009)
20, No. 1 (2009)
19, No. 6 (2008)
19, No. 5 (2008)
19, No. 4 (2008)
19, No. 3 (2008)
19, No. 2 (2008)
19, No. 1 (2008)
18, No. 6 (2007)
18, No. 5 (2007)
18, No. 4 (2007)
18, No. 3 (2007)
18, No. 2 (2007)
18, No. 1 (2007)
17, No. 6 (2006)
17, No. 5 (2006)
17, No. 4 (2006)
17, No. 3 (2006)
17, No. 2 (2006)
17, No. 1 (2006)
16, No. 6 (2005)
16, No. 5 (2005)
16, No. 4 (2005)
16, No. 3 (2005)
16, No. 2 (2005)
16, No. 1 (2005)
15, No. 6 (2004)
15, No. 5 (2004)
15, No. 4 (2004)
15, No. 3 (2004)
15, No. 2 (2004)
15, No. 1 (2004)
14, No. 6 (2003)
14, No. 5 (2003)
...and 70 more Volumes
all top 5

Authors

27 King, John Robert
22 Ward, Michael J.
14 Chapman, Stephen Jonathan
14 Howison, Samuel Dexter
10 Cummings, Linda J.
10 Knessl, Charles
10 Lacey, Andrew A.
10 Wei, Juncheng
9 Chen, Xinfu
9 Richardson, Stanley
8 Galaktionov, Victor Aleksandrovich
8 Matkowsky, Bernard J.
8 Movchan, Alexander B.
7 Entov, Vladimir M.
7 Hocking, Graeme Charles
7 Kolokolnikov, Theodore
7 Ockendon, John R.
7 Peletier, Lambertus Adrianus
7 Shearer, Michael
7 Vanden-Broeck, Jean-Marc
6 Bertsch, Michiel
6 Bluman, George W.
6 Elliott, Charles M.
6 Forbes, Lawrence K.
6 Gourley, Stephen A.
6 Hulshof, Josephus
6 Prokert, Georg
6 Shillor, Meir
6 Sofonea, Mircea
6 Tew, Richard H.
6 Vazquez, Juan Luis
5 Burger, Martin
5 Etingof, Pavel Il’ich
5 Hastings, Stuart P.
5 Howell, Peter D.
5 Kuske, Rachel A.
5 Please, Colin P.
5 Primicerio, Mario
5 Tzou, Justin C.
5 van Duijn, Cornelis Johannes
5 Velázquez, Juan J. L.
5 Witelski, Thomas P.
4 Ammari, Habib M.
4 Anco, Stephen C.
4 Aronson, Donald G.
4 Bertozzi, Andrea Louise
4 Blowey, James F.
4 Bowen, Mark
4 Byatt-Smith, John G. B.
4 Byrne, Helen Mary
4 Chadam, John M.
4 Crowdy, Darren Gregory
4 Evans, Jonathan David
4 Friedman, Avner
4 Glasner, Karl B.
4 Gnann, Manuel V.
4 Grinfeld, Michael
4 Hilhorst, Danielle
4 Iron, David
4 Kang, Hyeonbae
4 Münch, Andreas
4 Ockendon, Hilary
4 Painter, Kevin J.
4 Peletier, Mark Adriaan
4 Smith, Frank T.
4 Terrill, E. L.
4 van den Berg, Jan Bouwe
4 Volpert, Vitaly A.
4 Wagner, Barbara A.
4 Wake, Graeme Charles
3 Aftalion, Amandine
3 Aslanyan, A. G.
3 Atkinson, Colin
3 Barenblatt, Grigory Isaakovich
3 Brubaker, Nicholas D.
3 Cheb-Terrab, E. S.
3 Cherniha, Roman M.
3 Cimatti, Giovanni
3 Clarkson, Peter A.
3 Craster, Richard V.
3 Danilov, Vladimir G.
3 Davis, Stephen Howard
3 Dewynne, Jeffrey N.
3 Du, Qiang
3 Duffy, Brian Reginald
3 Eberl, Hermann J.
3 Erneux, Thomas
3 Escher, Joachim
3 Fernández, Jose Ramon
3 Fokas, Athanassios S.
3 Fry, Hannah M.
3 Garcke, Harald
3 Giacomelli, Lorenzo
3 Helffer, Bernard
3 Herrero, Miguel Ángel
3 Hillen, Thomas
3 Holmes, R. J.
3 Iserles, Arieh
3 Jiang, Lishang
3 Jüngel, Ansgar
...and 1,311 more Authors
all top 5

Fields

516 Partial differential equations (35-XX)
330 Fluid mechanics (76-XX)
123 Mechanics of deformable solids (74-XX)
107 Statistical mechanics, structure of matter (82-XX)
103 Biology and other natural sciences (92-XX)
83 Classical thermodynamics, heat transfer (80-XX)
82 Ordinary differential equations (34-XX)
73 Numerical analysis (65-XX)
63 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
53 Probability theory and stochastic processes (60-XX)
52 Optics, electromagnetic theory (78-XX)
45 Calculus of variations and optimal control; optimization (49-XX)
38 Dynamical systems and ergodic theory (37-XX)
32 Computer science (68-XX)
21 Systems theory; control (93-XX)
19 Functions of a complex variable (30-XX)
19 Operations research, mathematical programming (90-XX)
18 Geophysics (86-XX)
17 Global analysis, analysis on manifolds (58-XX)
16 Integral equations (45-XX)
16 Statistics (62-XX)
16 Information and communication theory, circuits (94-XX)
13 General and overarching topics; collections (00-XX)
13 Combinatorics (05-XX)
8 Operator theory (47-XX)
7 Approximations and expansions (41-XX)
7 Differential geometry (53-XX)
6 Special functions (33-XX)
6 Mechanics of particles and systems (70-XX)
5 Measure and integration (28-XX)
5 Quantum theory (81-XX)
4 History and biography (01-XX)
3 Difference and functional equations (39-XX)
3 Functional analysis (46-XX)
2 Nonassociative rings and algebras (17-XX)
2 Integral transforms, operational calculus (44-XX)
1 Field theory and polynomials (12-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)

Publications by Year

Citations contained in zbMATH Open

800 Publications have been cited 8,410 times in 6,887 Documents Cited by Year
Blow-up in a chemotaxis model without symmetry assumptions. Zbl 1017.92006
Horstmann, Dirk; Wang, Guofang
228
2001
Symmetry-based algorithms to relate partial differential equations. I: Local symmetries. Zbl 0718.35003
Bluman, G. W.; Kumei, S.
205
1990
Symmetry-based algorithms to relate partial differential equations. II: Linearization by nonlocal symmetries. Zbl 0718.35004
Bluman, G. W.; Kumei, S.
172
1990
Direct construction method for conservation laws of partial differential equations. I: Examples of conservation law classifications. Zbl 1034.35070
Anco, Stephen C.; Bluman, George
165
2002
Propagation of frontal polymerization-crystallization waves. Zbl 0805.35143
Volpert, Vit.; Volpert, Vl.
163
1994
Direct construction method for conservation laws of partial differential equations. II: General treatment. Zbl 1034.35071
Anco, Stephen C.; Bluman, George
156
2002
On the generalized pantograph functional-differential equation. Zbl 0767.34054
Iserles, A.
114
1993
Mathematics of thermoacoustic tomography. Zbl 1185.35327
Kuchment, Peter; Kunyansky, Leonid
103
2008
Some mathematical results in the pricing of American options. Zbl 0797.60051
Dewynne, J. N.; Howison, S. D.; Rupf, I.; Wilmott, P.
101
1993
The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. I: Mathematical analysis. Zbl 0797.35172
Blowey, J. F.; Elliott, C. M.
91
1991
The Cahn-Hilliard equation with a concentration dependent mobility: Motion by minus the Laplacian of the mean curvature. Zbl 0861.35039
Cahn, J. W.; Elliott, C. M.; Novick-Cohen, A.
90
1996
A survey on level set methods for inverse problems and optimal design. Zbl 1091.49001
Burger, Martin; Osher, Stanley J.
82
2005
On single interior spike solutions of the Gierer-Meinhardt system: Uniqueness and spectrum estimates. Zbl 1014.35005
Wei, Juncheng
75
1999
Thin film epitaxy with or without slope selection. Zbl 1059.35059
Li, Bo; Liu, Jian-Guo
74
2003
Convergence of the phase field model to its sharp interface limits. Zbl 0930.35024
Caginalp, Gunduz; Chen, Xinfu
69
1998
A comparison of four approaches to the calculation of conservation laws. Zbl 1002.35008
Wolf, Thomas
66
2002
Free boundary value problems associated with the growth and development of multicellular spheroids. Zbl 0906.92016
Byrne, H. M.; Chaplain, M. A. J.
64
1997
Spatial segregation limit of a competition-diffusion system. Zbl 0982.92031
Dancer, E. N.; Hilhorst, D.; Mimura, M.; Peletier, L. A.
62
1999
Complex variable methods in Hele-Shaw moving boundary problems. Zbl 0759.76022
Howison, S. D.
60
1992
A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018
Alberti, Giovanni; Bellettini, Giovanni
57
1998
Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory. Zbl 1253.82089
Majumdar, Apala
55
2010
Remarks on the blowup and global existence for a two species chemotactic Keller-Segel system in \(\mathbb R^{2}\). Zbl 1241.35025
Conca, Carlos; Espejo, Elio; Vilches, Karina
55
2011
Digital inpainting based on the Mumford-Shah-Euler image model. Zbl 1017.94505
Esedoglu, Selim; Shen, Jianhong
55
2002
Solutions for the two-phase Stefan problem with the Gibbs-Thomson law for the melting temperature. Zbl 0734.35159
Luckhaus, Stephan
52
1990
Symmetry of steady deep-water waves with vorticity. Zbl 1125.76007
Constantin, Adrian; Escher, Joachim
52
2004
Well-posedness of two-phase Hele-Shaw flow without surface tension. Zbl 1076.76027
Ambrose, David M.
51
2004
An \(n\)-populations model for traffic flow. Zbl 1143.82323
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.
49
2003
History-dependent quasi-variational inequalities arising in contact mechanics. Zbl 1226.49012
Sofonea, Mircea; Matei, Andaluzia
47
2011
The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. II: Numerical analysis. Zbl 0810.35158
Blowey, J. F.; Elliott, C. M.
44
1992
On the Bean critical-state model in superconductivity. Zbl 0873.49007
Prigozhin, L.
44
1996
Multi-components chemotactic system in the absence of conflicts. Zbl 1008.92008
Wolansky, G.
43
2002
Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution. Zbl 0768.35001
Reid, Gregory J.
42
1991
On a diffuse interface model of tumour growth. Zbl 1375.92031
Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta
42
2015
Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1375.92011
Garcke, Harald; Lam, Kei Fong
42
2017
Thermal runaway in a non-local problem modelling Ohmic heating. I: Model derivation and some special cases. Zbl 0843.35008
Lacey, A. A.
41
1995
Variational model of sandpile growth. Zbl 0913.73079
Prigozhin, Leonid
40
1996
How to construct the discrete symmetries of partial differential equations. Zbl 1035.35005
Hydon, P. E.
39
2000
Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023
Amick, C. J.; Toland, J. F.
38
1992
Analysis of a mixture model of tumor growth. Zbl 1292.35153
Lowengrub, John; Titi, Edriss; Zhao, Kun
38
2013
Reduction of systems of nonlinear partial differential equations to simplified involutive forms. Zbl 0892.35041
Reid, Gregory J.; Wittkopf, Allan D.; Boulton, Alan
37
1996
Moment-free numerical approximation of highly oscillatory integrals with stationary points. Zbl 1153.65325
Olver, Sheehan
35
2007
Numerical analysis of history-dependent variational-hemivariational inequalities with applications to contact problems. Zbl 1439.74230
Sofonea, Mircea; Han, Weimin; Migórski, Stanisław
35
2015
Singular perturbation analysis of the steady-state Poisson-Nernst-Planck system: Applications to ion channels. Zbl 1145.92010
Singer, A.; Gillespie, D.; Norbury, J.; Eisenberg, R. S.
35
2008
Propagation of hexagonal patterns near onset. Zbl 1044.37049
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
35
2003
A selfsimilar solution to the focusing problem for the porous medium equation. Zbl 0780.35079
Aronson, D. G.; Graveleau, J.
34
1993
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations. Zbl 1400.65053
Dutykh, Denys; Clamond, Didier; Milewski, Paul; Mitsotakis, Dimitrios
34
2013
A mean-field model of superconducting vortices. Zbl 0849.35135
Chapman, S. J.; Rubinstein, J.; Schatzman, M.
34
1996
Ostrovsky and Hunter’s generic wave equation for weakly dispersive waves: matched asymptotic and pseudospectral study of the paraboloidal travelling waves (corner and near-corner waves). Zbl 1079.35087
Boyd, John P.
34
2005
The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model. Zbl 1018.82024
Gasser, Ingenuin; Levermore, C. David; Markowich, Peter A.; Schmeiser, Christian
32
2001
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms. Zbl 0922.35033
Cherniha, Roman; Serov, Mykola
32
1998
Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps. Zbl 1090.35070
Kolokolnikov, T.; Titcombe, M. S.; Ward, M. J.
32
2005
Thermal runaway in a nonlocal problem modelling Ohmic heating. II: General proof of blow-up and asymptotics of runaway. Zbl 0849.35058
Lacey, A. A.
32
1995
Asymmetric spike patterns for the one-dimensional Gierer-Meinhardt model: Equilibria and stability. Zbl 1010.35002
Ward, M. J.; Wei, J.
32
2002
Properties of steady states for thin film equations. Zbl 1041.76008
Laugesen, R. S.; Pugh, M. C.
32
2000
Hopf bifurction of spike solutions for the shadow Gierer-Meinhardt model. Zbl 1063.35030
Ward, M. J.; Wei, J.
31
2003
A general construction of fractal interpolation functions on grids of \(\mathbb R\). Zbl 1153.41306
Bouboulis, P.; Dalla, L.
30
2007
Asymptotic behaviour of functional-differential equations with proportional time delays. Zbl 0856.34078
Liu, Yunkang
30
1996
A nonlocal reaction-diffusion model for a single species with stage structure and distributed maturation delay. Zbl 1079.35015
Al-Omari, J. F. M.; Gourley, S. A.
30
2005
New exact solutions of the Boussinesq equation. Zbl 0721.35074
Clarkson, Peter A.
29
1990
Infiltration in porous media with dynamic capillary pressure: Travelling waves. Zbl 0970.76096
Cuesta, C.; van Duijn, C. J.; Hulshof, J.
29
2000
Interpolation of spatial data – a stochastic or a deterministic problem? Zbl 1426.62284
Scheuerer, M.; Schaback, R.; Schlather, M.
29
2013
Laminates and microstructure. Zbl 0779.73050
Pedregal, Pablo
28
1993
Elastic-plated gravity currents. Zbl 1387.76026
Hewitt, I. J.; Balmforth, N. J.; De Bruyn, J. R.
28
2015
Non-local dispersal and bistability. Zbl 1114.35021
Hutson, V.; Grinfeld, M.
27
2006
Adding police to a mathematical model of burglary. Zbl 1233.91225
Pitcher, Ashley B.
27
2010
Boundedness of solutions of a non-local reaction-diffusion model for adhesion in cell aggregation and cancer invasion. Zbl 1194.35219
Sherratt, Jonathan A.; Gourley, Stephen A.; Armstrong, Nicola J.; Painter, Kevin J.
27
2009
On the computation of blow-up. Zbl 0701.76038
Stuart, A. M.; Floater, M. S.
26
1990
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
26
2005
Uniqueness and stability of the solution to a thermoelastic contact problem. Zbl 0722.73058
Shi, Peter; Shillor, Meir
25
1990
Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019
Ferreira, Raul; Bernis, Francisco
25
1997
Explicit flock solutions for quasi-Morse potentials. Zbl 1304.82049
Carrillo, J. A.; Huang, Y.; Martin, S.
25
2014
Steady state solutions of a bi-stable quasi-linear equation with saturating flux. Zbl 1219.35186
Burns, M.; Grinfeld, M.
25
2011
Homogenisation of a locally periodic medium with areas of low and high diffusivity. Zbl 1233.35020
van Noorden, T. L.; Muntean, A.
25
2011
Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between \(3/2\) and 3. Zbl 1292.35067
Giacomelli, Lorenzo; Gnann, Manuel V.; Otto, Felix
24
2013
Two-dimensional Stokes and Hele-Shaw flows with free surfaces. Zbl 0955.76023
Cummings, L. J.; Howison, S. D.; King, J. R.
24
1999
Integrating factors and first integrals for ordinary differential equations. Zbl 0922.34006
Anco, Stephen C.; Bluman, George
24
1998
On the asymptotics of solutions of a class of linear functional-differential equations. Zbl 0859.34049
Derfel, G.; Vogl, F.
24
1996
Optimal design of periodic antireflective structures for the Helmholtz equation. Zbl 0806.35175
Dobson, David C.
24
1993
Non-linear effects on canonical MEMS models. Zbl 1252.78010
Brubaker, Nicholas D.; Pelesko, John A.
24
2011
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
Finding abstract Lie symmetry algebras of differential equations without integrating determining equations. Zbl 0768.35002
Reid, Gregory J.
23
1991
On Hele-Shaw flow of power-law fluids. Zbl 0769.76003
Aronsson, Gunnar; Janfalk, Ulf
23
1992
Asymptotic spreading of competition diffusion systems: the role of interspecific competitions. Zbl 1256.35179
Lin, Guo; Li, Wan-Tong
23
2012
Aggregation under local reinforcement: from lattice to continuum. Zbl 1062.92007
Horstmann, Dirk; Painter, Kevin J.; Othmer, Hans G.
23
2004
Analysis of the viscous quantum hydrodynamic equations for semiconductors. Zbl 1076.82049
Gualdini, Maria Pia; Jüngel, Ansgar
23
2004
Moving boundary problems and non-uniqueness for the thin film equation. Zbl 0985.35113
King, J. R.; Bowen, M.
22
2001
On the dynamic behaviour of a thermoviscoelastic body in frictional contact with a rigid obstacle. Zbl 0894.73135
Andrews, K. T.; Kuttler, K. L.; Shillor, M.
22
1997
Transport equations with resting phases. Zbl 1050.92052
Hillen, T.
22
2003
Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Zbl 1375.92049
Girardin, Léo; Nadin, Grégoire
22
2015
Source-type solutions of the fourth-order unstable thin film equation. Zbl 1156.35387
Evans, J. D.; Galaktionov, V. A.; King, J. R.
22
2007
Moving-boundary and fixed-domain problems for a sixth-order thin-film equation. Zbl 1105.76010
Flitton, J. C.; King, J. R.
22
2004
Hyperbolicity and kinematic waves of a class of multi-population partial differential equations. Zbl 1107.35389
Zhang, Peng; Liu, Ru-Xun; Wong, S. C.; Dai, Shi-Qiang
22
2006
An Abel ordinary differential equation class generalizing known integrable classes. Zbl 1046.34004
Cheb-Terrab, E. S.; Roche, A. D.
22
2003
Polynomial chaos for the approximation of uncertainties: Chances and limits. Zbl 1148.65004
Augustin, F.; Gilg, A.; Paffrath, M.; Rentrop, P.; Wever, U.
21
2008
Oscillatory instabilities and dynamics of multi-spike patterns for the one-dimensional Gray-Scott model. Zbl 1197.35021
Chen, Wan; Ward, Michael J.
20
2009
Stability of compressive and undercompressive thin film travelling waves. Zbl 1028.76012
Bertozzi, Andrea L.; Münch, Andreas; Shearer, Michael; Zumbrun, Kevin
20
2001
Hugoniot-type conditions and weak solutions to the phase-field system. Zbl 0918.35036
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
20
1999
Artificial boundary conditions of absolute transparency for two- and three-dimensional external time-dependent scattering problems. Zbl 0926.35070
Sofronov, Ivan L.
20
1998
Explicit stationary solutions in multiple well dynamics and non-uniqueness of interfacial energy densities. Zbl 1165.35363
Alikakos, Nicholas D.; Betelú, Santiago I.; Chen, Xinfu
20
2006
Global existence of solutions for a chemotaxis-type system arising in crime modelling. Zbl 1284.35445
Manásevich, Raúl; Phan Quoc Hung; Souplet, Philippe
20
2013
Solving parametric PDE problems with artificial neural networks. Zbl 07441295
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
12
2021
Solving high-dimensional optimal stopping problems using deep learning. Zbl 07441301
Becker, Sebastian; Cheridito, Patrick; Jentzen, Arnulf; Welti, Timo
5
2021
Structure-preserving deep learning. Zbl 07440570
Celledoni, E.; Ehrhardt, M. J.; Etmann, C.; McLachlan, R. I.; Owren, B.; Schonlieb, C.-B.; Sherry, F.
4
2021
Learning and meta-learning of stochastic advection-diffusion-reaction systems from sparse measurements. Zbl 07441294
Chen, Xiaoli; Duan, Jinqiao; Karniadakis, George Em
2
2021
Deep learning models for global coordinate transformations that linearise PDEs. Zbl 1479.35021
Gin, Craig; Lusch, Bethany; Brunton, Steven L.; Kutz, J. Nathan
2
2021
Continuous-domain assignment flows. Zbl 1479.35904
Savarino, F.; Schnörr, C.
2
2021
Domain formation via phase separation for spherical biomembranes with small deformations. Zbl 1479.35013
Elliott, C. M.; Hatcher, L.
2
2021
A multi-level procedure for enhancing accuracy of machine learning algorithms. Zbl 1482.65149
Lye, Kjetil O.; Mishra, Siddhartha; Molinaro, Roberto
1
2021
Graph interpolating activation improves both natural and robust accuracies in data-efficient deep learning. Zbl 07441298
Wang, Bao; Osher, Stan J.
1
2021
Connections between deep learning and partial differential equations. Zbl 1479.35002
Burger, M.; E, W.; Ruthotto, L.; Osher, S. J.
1
2021
Semi-analytical solution of a McKean-Vlasov equation with feedback through hitting a boundary. Zbl 1479.35534
Lipton, Alexander; Kaushansky, Vadim; Reisinger, Christoph
1
2021
The amyloid cascade hypothesis and Alzheimer’s disease: a mathematical model. Zbl 1478.92044
Bertsch, M.; Franchi, B.; Meacci, L.; Primicerio, M.; Tesi, M. C.
1
2021
Thin-layer solutions of the Helmholtz equation. Zbl 1478.78070
Ockendon, J. R.; Tew, R. H.
1
2021
Cahn-Hilliard equations on an evolving surface. Zbl 1479.35902
Caetano, D.; Elliott, C. M.
1
2021
Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302
Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G.
15
2019
Pattern formation in bacterial colonies with density-dependent diffusion. Zbl 1407.92030
Smith-Roberge, Julien; Iron, David; Kolokolnikov, Theodore
13
2019
A new class of costs for optimal transport planning. Zbl 1435.90143
Alibert, J.-J.; Bouchitté, G.; Champion, T.
9
2019
Balanced viscosity solutions to a rate-independent system for damage. Zbl 1407.35193
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
7
2019
Applications of Magnus expansions and pseudospectra to Markov processes. Zbl 1427.60167
Iserles, A.; Macnamara, S.
7
2019
Periodic travelling interfacial hydroelastic waves with or without mass. II: Multiple bifurcations and ripples. Zbl 1427.76036
Akers, Benjamin F.; Ambrose, David M.; Sulon, David W.
6
2019
Minimal convex extensions and finite difference discretisation of the quadratic Monge-Kantorovich problem. Zbl 1427.65326
Benamou, Jean-David; Duval, Vincent
5
2019
Quantum entropic regularization of matrix-valued optimal transport. Zbl 1428.49047
Peyré, Gabriel; Chizat, Lénaïc; Vialard, François-Xavier; Solomon, Justin
5
2019
Interpolation of matrices and matrix-valued densities: the unbalanced case. Zbl 1429.81039
Chen, Yongxin; Georgiou, Tryphon T.; Tannenbaum, Allen
4
2019
A global stability estimate for the photo-acoustic inverse problem in layered media. Zbl 1427.35365
Ren, Kui; Triki, Faouzi
4
2019
Noise-induced mixing and multimodality in reaction networks. Zbl 1425.92090
Plesa, Tomislav; Erban, Radek; Othmer, Hans G.
3
2019
Simulation of multiphase porous media flows with minimising movement and finite volume schemes. Zbl 1425.76158
Cancès, Clément; Gallouët, Thomas; Laborde, Maxime; Monsaingeon, Léonard
3
2019
Variety of unsymmetric multibranched logarithmic vortex spirals. Zbl 1407.35158
Elling, V.; Gnann, M. V.
2
2019
Rigorous results in existence and selection of Saffman-Taylor fingers by kinetic undercooling. Zbl 1407.76036
Xie, Xuming
2
2019
A measure theoretic approach to traffic flow optimisation on networks. Zbl 1428.49050
Cacace, Simone; Camilli, Fabio; De Maio, Raul; Tosin, Andrea
2
2019
On \(c\)-cyclical monotonicity for optimal transport problem with Coulomb cost. Zbl 1428.49013
De Pascale, Luigi
2
2019
Homogenization of a non-stationary non-Newtonian flow in a porous medium containing a thin fissure. Zbl 1427.76246
Anguiano, María
2
2019
Numerical determination of anomalies in multifrequency electrical impedance tomography. Zbl 1429.92091
Ammari, Habib; Triki, Faouzi; Tsou, Chun-Hsiang
2
2019
On the mean field approximation of a stochastic model of tumour-induced angiogenesis. Zbl 1429.92040
Capasso, V.; Flandoli, F.
2
2019
Allen-Cahn equation with strong irreversibility. Zbl 1427.35110
Akagi, Goro; Efendiev, Messoud
2
2019
Refined stability thresholds for localized spot patterns for the Brusselator model in \(\mathbb{R}^2\). Zbl 1427.35107
Chang, Yifan; Tzou, J. C.; Ward, M. J.; Wei, J. C.
2
2019
Friedlander-Keller ray expansions and scalar wave reflection at canonically perturbed boundaries. Zbl 1407.78015
Tew, R. H.
1
2019
Uniqueness in the determination of loads in multi-span beams and plates. Zbl 1407.74054
Kawano, Alexandre; Morassi, Antonino
1
2019
Metastable transitions in inertial Langevin systems: what can be different from the overdamped case? Zbl 1488.60151
Souza, Andre N.; Tao, Molei
1
2019
Approximate analytical solutions for a class of nonlinear stochastic differential equations. Zbl 1439.34064
Meimaris, A. T.; Kougioumtzoglou, I. A.; Pantelous, A. A.
1
2019
On the stochastic resonance phenomenon in parametrically excited systems. Zbl 1429.34067
Sorokin, Vladislav; Blekhman, Iliya
1
2019
Towards sample path estimates for fast-slow stochastic partial differential equations. Zbl 1423.60099
Gnann, Manuel V.; Kuehn, Christian; Pein, Anne
1
2019
Displacement convexity for the entropy in semi-discrete non-linear Fokker-Planck equations. Zbl 1423.60119
Carrillo, José A.; Jüngel, Ansgar; Santos, Matheus C.
1
2019
Transition to nestedness in multi- to one-dimensional optimal transport. Zbl 1428.49046
Chiappori, Pierre-André; McCann, Robert; Pass, Brendan
1
2019
Dynamic and stochastic propagation of the Brenier optimal mass transport. Zbl 1428.49048
Barton, Alistair; Ghoussoub, Nassif
1
2019
Spreading in kinetic reaction-transport equations in higher velocity dimensions. Zbl 1433.35415
Bouin, Emeric; Caillerie, Nils
1
2019
Semi-analytical study of the Voinovs problem. Zbl 1427.76032
Karabut, E. A.; Petrov, A. G.; Zhuravleva, E. N.
1
2019
A hunter-gatherer-farmer population model: Lie symmetries, exact solutions and their interpretation. Zbl 1430.91064
Cherniha, R. M.; Davydovych, V. V.
1
2019
Systematic derivation of a surface polarisation model for planar perovskite solar cells. Zbl 1431.78005
Courtier, N. E.; Foster, J. M.; O’Kane, S. E. J.; Walker, A. B.; Richardson, G.
1
2019
Macroscopic models for calcium carbonate corrosion due to sulfation. Variation of diffusion and volume expansion. Zbl 1429.92150
Nikolopoulos, Christos V.
1
2019
Models for the two-phase flow of concentrated suspensions. Zbl 1427.76260
Ahnert, Tobias; Münch, Andreas; Wagner, Barbara
1
2019
Linear Rayleigh-Bénard stability of a transversely isotropic fluid. Zbl 1429.92060
Holloway, C. R.; Smith, D. J.; Dyson, R. J.
1
2019
Spectral properties of the Neumann-Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system. Zbl 06903421
Ando, Kazunori; Ji, Yong-Gwan; Kang, Hyeonbae; Kim, Kyoungsun; Yu, Sanghyeon
17
2018
Symmetry-invariant conservation laws of partial differential equations. Zbl 1391.35021
Anco, Stephen C.; Kara, Abdul H.
13
2018
Shilnikov chaos, Filippov sliding and boundary equilibrium bifurcations. Zbl 1412.37054
Glendinning, P. A.
11
2018
Thermodynamically consistent Navier-Stokes-Cahn-Hilliard models with mass transfer and chemotaxis. Zbl 1397.92100
Lam, Kei Fong; Wu, Hao
11
2018
Circle maps with gaps: understanding the dynamics of the two-process model for sleep-wake regulation. Zbl 1411.37043
Bailey, M. P.; Derks, G.; Skeldon, A. C.
9
2018
A backward Monte Carlo approach to exotic option pricing. Zbl 1401.91552
Bormetti, G.; Callegaro, G.; Livieri, G.; Pallavicini, A.
9
2018
The infinitesimal phase response curves of oscillators in piecewise smooth dynamical systems. Zbl 1405.37054
Park, Y.; Shaw, K. M.; Chiel, H. J.; Thomas, P. J.
8
2018
A numerical implementation of the unified Fokas transform for evolution problems on a finite interval. Zbl 1394.65120
Kesici, Emine; Pelloni, Beatrice; Pryer, Tristan; Smith, David
6
2018
Global solvability and explicit bounds for non-local adhesion models. Zbl 1406.35430
Hillen, T.; Painter, K. J.; Winkler, M.
6
2018
Networks of piecewise linear neural mass models. Zbl 1401.92008
Coombes, S.; Lai, Y. M.; Şayli, M.; Thul, R.
5
2018
Non-smooth homoclinic bifurcation in a conceptual climate model. Zbl 1400.86005
Leifeld, Julie
5
2018
On isotropic cloaking and interior transmission eigenvalue problems. Zbl 1391.35133
Ji, Xia; Liu, Hongyu
5
2018
Image reconstruction from radially incomplete spherical Radon data. Zbl 1392.94032
Ambartsoumian, Gaik; Gouia-Zarrad, Rim; Krishnan, Venkateswaran P.; Roy, Souvik
5
2018
A simple model of biofilm growth in a porous medium that accounts for detachment and attachment of suspended biomass and their contribution to substrate degradation. Zbl 1407.92108
Gaebler, Harry J.; Eberl, Hermann J.
4
2018
Simulating surfactant spreading: influence of a physically motivated equation of state. Zbl 1391.76056
Sinclair, Dina; Levy, Rachel; Daniels, Karen E.
4
2018
Pricing American call options under a hard-to-borrow stock model. Zbl 1401.91537
Ma, Guiyuan; Zhu, Song-Ping
4
2018
Invasion moving boundary problem for a biofilm reactor model. Zbl 1407.92139
D’Acunto, B.; Frunzo, L.; Luongo, V.; Mattei, M. R.
3
2018
Properties of the chemostat model with aggregated biomass. Zbl 1407.92148
Rapaport, Alain
2
2018
Time adaptive numerical solution of a highly non-linear degenerate cross-diffusion system arising in multi-species biofilm modelling. Zbl 1407.92109
Ghasemi, Maryam; Sonner, Stefanie; Eberl, Hermann J.
2
2018
A variational inequality arising from optimal exercise perpetual executive stock options. Zbl 1401.91534
Lai, Xin; Chen, Xinfu; Qin, Cong; Yu, Wanghui
2
2018
Application of a generalized finite difference method to mould filling process. Zbl 1394.65077
Reséndiz-Flores, E. O.; Kuhnert, J.; Saucedo-Zendejo, F. R.
2
2018
A multi-species chemotaxis system: Lyapunov functionals, duality, critical mass. Zbl 1395.92022
Kavallaris, N. I.; Ricciardi, T.; Zecca, G.
2
2018
Singular perturbations in noisy dynamical systems. Zbl 1394.37083
Matkowsky, B. J.
2
2018
Transitions and singularities during slip motion of rigid bodies. Zbl 1405.37074
Várkonyi, P. L.
1
2018
Suppression of drill-string stick-slip vibration by sliding mode control: numerical and experimental studies. Zbl 1402.74043
Vaziri, Vahid; Kapitaniak, Marcin; Wiercigroch, Marian
1
2018
Zeno breaking, the contact effect and sensitive behaviour in piecewise-linear systems. Zbl 1401.92084
Edwards, R.
1
2018
Non-autonomous higher-order Moreau’s sweeping process: well-posedness, stability and Zeno trajectories. Zbl 1432.34026
Brogliato, Bernard
1
2018
Travelling wave solutions for a thin-film equation related to the spin-coating process. Zbl 1394.35357
Gnann, M. V.; Kim, H. J.; Knüpfer, H.
1
2018
Asymptotic analysis of the attractors in two-dimensional Kolmogorov flow. Zbl 1391.76166
Smith, W. R.; Wissink, J. G.
1
2018
New insights on the interfacial tension of electrochemical interfaces and the Lippmann equation. Zbl 1397.78049
Dreyer, W.; Guhlke, C.; Landstorfer, M.; Müller, R.
1
2018
Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1375.92011
Garcke, Harald; Lam, Kei Fong
42
2017
Stable spike clusters for the one-dimensional Gierer-Meinhardt system. Zbl 1386.35165
Wei, Juncheng; Winter, Matthias
16
2017
Strong solvability up to clogging of an effective diffusion-precipitation model in an evolving porous medium. Zbl 1386.82065
Schulz, R.; Ray, N.; Frank, F.; Mahato, H. S.; Knabner, P.
15
2017
Stationary patterns and their selection mechanism of urban crime models with heterogeneous near-repeat victimization effect. Zbl 1376.91125
Gu, Yu; Wang, Qi; Yi, Guangzeng
10
2017
A new analytical approach to consistency and overfitting in regularized empirical risk minimization. Zbl 1383.49029
García Trillos, Nicolás; Murray, Ryan
8
2017
A meeting point of entropy and bifurcations in cross-diffusion herding. Zbl 1386.35162
Jüngel, Ansgar; Kuehn, Christian; Trussardi, Lara
7
2017
On the game \(p\)-Laplacian on weighted graphs with applications in image processing and data clustering. Zbl 1390.91039
Elmoataz, A.; Desquesnes, X.; Toutain, M.
7
2017
Non-local Cahn-Hilliard equations with fractional dynamic boundary conditions. Zbl 1382.82035
Gal, Ciprian G.
6
2017
Sampling time-frequency localized functions and constructing localized time-frequency frames. Zbl 1386.94041
Velasco, G. A. M.; Dörfler, M.
6
2017
A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints. Zbl 1386.74106
Scala, Riccardo; Schimperna, Giulio
5
2017
Well-posedness of a diffuse-interface model for two-phase incompressible flows with thermo-induced Marangoni effect. Zbl 1386.35360
Wu, Hao
5
2017
A multi-scale analysis of drug transport and response for a multi-phase tumour model. Zbl 1375.92030
Collis, J.; Hubbard, M. E.; O’Dea, R. D.
5
2017
Non-local effects in an integro-PDE model from population genetics. Zbl 1390.92090
Li, F.; Nakashima, K.; Ni, W.-M.
4
2017
Derivation and solution of effective medium equations for bulk heterojunction organic solar cells. Zbl 1380.82057
Richardson, G.; Please, C. P.; Styles, V.
4
2017
Transition to blow-up in a reaction-diffusion model with localized spike solutions. Zbl 1387.35338
Rottschäfer, V.; Tzou, J. C.; Ward, M. J.
4
2017
Asymptotic behaviour of solutions of free boundary problems for Fisher-KPP equation. Zbl 1375.35041
Cai, Jingjing; Gu, Hong
3
2017
A note on waveless subcritical flow past symmetric bottom topography. Zbl 1386.76035
Holmes, R. J.; Hocking, G. C.
3
2017
Dynamics of screw dislocations: a generalised minimising-movements scheme approach. Zbl 1386.82069
Bonaschi, Giovanni A.; Van Meurs, Patrick; Morandotti, Marco
3
2017
The interface dynamics of a surfactant drop on a thin viscous film. Zbl 1375.35368
Chugunova, Marina; King, John R.; Taranets, Roman M.
3
2017
...and 700 more Documents
all top 5

Cited by 7,999 Authors

65 Wei, Juncheng
49 Ward, Michael J.
45 Sofonea, Mircea
42 Mu, Chunlai
40 Garcke, Harald
37 Kara, Abdul Hamid
37 Migórski, Stanisław
34 Gandarias Núñez, Maria Luz
34 Winkler, Michael
33 Khalique, Chaudry Masood
32 Bruzón, Maria Santos
31 King, John Robert
26 Volpert, Vitaly A.
24 Rocca, Elisabetta
23 Carrillo de la Plata, José Antonio
22 Kolokolnikov, Theodore
22 Nürnberg, Robert
21 Galaktionov, Victor Aleksandrovich
21 Shillor, Meir
20 Chen, Xinfu
20 Li, Wan-Tong
20 Popovych, Roman O.
20 Vazquez, Juan Luis
20 Winter, Matthias
19 Anco, Stephen C.
19 Qu, Changzheng
19 Vanden-Broeck, Jean-Marc
19 Zheng, Jiashan
18 Ammari, Habib M.
18 Byrne, Helen Mary
18 Chen, Wenbin
18 Cheviakov, Alexei F.
18 Dutykh, Denys
18 Giné, Jaume
17 Clarkson, Peter A.
17 Colli, Pierluigi
17 Friedman, Avner
17 Kim, Junseok
17 Llibre, Jaume
17 Pop, Iuliu Sorin
17 Sophocleous, Christodoulos
17 Wang, Liangchen
17 Zheng, Pan
16 Mahomed, Fazal M.
16 McCue, Scott William
16 Wang, Cheng
15 Bluman, George W.
15 Escher, Joachim
15 Gancedo, Francisco
15 Han, Weimin
15 Lin, Ke
15 Lustri, Christopher J.
15 Majumdar, Apala
15 Momoniat, Ebrahim
15 Papageorgiou, Demetrios T.
15 Radkevich, Evgeniĭ Vladimirovich
15 Witelski, Thomas P.
14 Bürger, Raimund
14 Cherniha, Roman M.
14 Cummings, Linda J.
14 Elliott, Charles M.
14 Freire, Igor Leite
14 Hintermüller, Michael
14 Jin, Hai-Yang
14 Lam, Kei Fong
14 Münch, Arnaud
14 Rossi, Riccarda
14 van Brunt, Bruce
13 Barrett, John William
13 Chaplain, Mark A. J.
13 Cui, Shangbin
13 Kang, Hyeonbae
13 Painter, Kevin J.
13 Pulch, Roland
13 Sprekels, Jürgen
13 Walker, Christoph
13 Wang, Shu
13 Zhang, Hongqing
12 Cordoba, Diego
12 Fan, Jishan
12 Guo, Zongming
12 Haltmeier, Markus
12 Kalliadasis, Serafim
12 Lowengrub, John Samuel
12 Miranville, Alain M.
12 Ruan, Shigui
12 Scherzer, Otmar
12 Shen, Wenxian
12 Signori, Andrea
12 Tao, Youshan
12 Wang, Zhian
12 Wu, Shiliang
12 Yaşar, Emrullah
12 Yousept, Irwin
12 Zhang, Mingji
12 Zhang, Zhiyong
11 Bertozzi, Andrea Louise
11 Doelman, Arjen
11 Garrido, Tamara Maria
11 Gianni, Roberto
...and 7,899 more Authors
all top 5

Cited in 586 Journals

334 Journal of Mathematical Analysis and Applications
260 Journal of Differential Equations
190 Applied Mathematics and Computation
166 Journal of Fluid Mechanics
163 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
146 Physica D
140 Journal of Computational Physics
136 European Journal of Applied Mathematics
123 Nonlinear Analysis. Real World Applications
105 Journal of Computational and Applied Mathematics
104 Computers & Mathematics with Applications
102 Archive for Rational Mechanics and Analysis
88 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
87 Applied Mathematics Letters
87 Discrete and Continuous Dynamical Systems. Series B
86 Journal of Engineering Mathematics
75 ZAMP. Zeitschrift für angewandte Mathematik und Physik
75 SIAM Journal on Applied Mathematics
72 Journal of Mathematical Physics
69 Discrete and Continuous Dynamical Systems
68 Mathematical Methods in the Applied Sciences
65 Chaos, Solitons and Fractals
65 Communications in Nonlinear Science and Numerical Simulation
63 Journal of Mathematical Biology
61 SIAM Journal on Mathematical Analysis
61 Calculus of Variations and Partial Differential Equations
60 Applicable Analysis
58 Physics of Fluids
52 Journal of Nonlinear Science
51 Journal of Scientific Computing
51 Journal of Mathematical Sciences (New York)
50 Mathematical and Computer Modelling
48 SIAM Journal on Applied Dynamical Systems
47 Computer Methods in Applied Mechanics and Engineering
47 Nonlinearity
45 Journal of Dynamics and Differential Equations
44 Applied Numerical Mathematics
44 Applied Mathematical Modelling
43 Inverse Problems
42 Bulletin of Mathematical Biology
41 Discrete and Continuous Dynamical Systems. Series S
40 Communications in Partial Differential Equations
39 Journal of Theoretical Biology
38 Acta Applicandae Mathematicae
38 Journal de Mathématiques Pures et Appliquées. Neuvième Série
37 Numerische Mathematik
36 Applied Mathematics and Optimization
36 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
33 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
31 Studies in Applied Mathematics
31 Transactions of the American Mathematical Society
30 International Journal of Engineering Science
30 Communications on Pure and Applied Analysis
29 NoDEA. Nonlinear Differential Equations and Applications
28 Wave Motion
28 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
27 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
26 Mathematics and Computers in Simulation
26 Abstract and Applied Analysis
26 Comptes Rendus. Mathématique. Académie des Sciences, Paris
26 Advances in Difference Equations
25 Mathematics of Computation
25 Japan Journal of Industrial and Applied Mathematics
25 Mathematical Problems in Engineering
25 European Journal of Mechanics. B. Fluids
24 Physics Letters. A
23 Communications in Mathematical Physics
23 International Journal of Computer Mathematics
23 SIAM Journal on Imaging Sciences
22 Quarterly of Applied Mathematics
21 Physica A
21 Nonlinear Dynamics
21 Boundary Value Problems
21 Communications in Computational Physics
21 Mathematical Modelling of Natural Phenomena
20 Computer Physics Communications
20 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
20 SIAM Journal on Scientific Computing
19 SIAM Journal on Numerical Analysis
19 Chaos
19 Journal of Evolution Equations
19 Inverse Problems in Science and Engineering
19 Inverse Problems and Imaging
19 Nonlinear Analysis. Theory, Methods & Applications
18 Journal of Functional Analysis
18 Numerical Methods for Partial Differential Equations
18 The ANZIAM Journal
18 Journal of Nonlinear Mathematical Physics
18 Multiscale Modeling & Simulation
18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
17 Science China. Mathematics
16 Journal of Statistical Physics
16 Journal of Symbolic Computation
16 Continuum Mechanics and Thermodynamics
16 Journal of Inverse and Ill-Posed Problems
16 Mathematical Biosciences and Engineering
15 Communications on Pure and Applied Mathematics
15 Proceedings of the American Mathematical Society
15 Numerical Algorithms
15 Computational and Applied Mathematics
...and 486 more Journals
all top 5

Cited in 59 Fields

4,163 Partial differential equations (35-XX)
1,530 Fluid mechanics (76-XX)
1,225 Numerical analysis (65-XX)
1,109 Biology and other natural sciences (92-XX)
701 Mechanics of deformable solids (74-XX)
673 Ordinary differential equations (34-XX)
478 Calculus of variations and optimal control; optimization (49-XX)
424 Statistical mechanics, structure of matter (82-XX)
422 Dynamical systems and ergodic theory (37-XX)
292 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
288 Classical thermodynamics, heat transfer (80-XX)
249 Probability theory and stochastic processes (60-XX)
249 Optics, electromagnetic theory (78-XX)
207 Operator theory (47-XX)
183 Global analysis, analysis on manifolds (58-XX)
152 Computer science (68-XX)
142 Integral equations (45-XX)
138 Systems theory; control (93-XX)
115 Operations research, mathematical programming (90-XX)
92 Information and communication theory, circuits (94-XX)
83 Mechanics of particles and systems (70-XX)
81 Statistics (62-XX)
77 Differential geometry (53-XX)
77 Geophysics (86-XX)
74 Approximations and expansions (41-XX)
55 Functions of a complex variable (30-XX)
53 Quantum theory (81-XX)
49 Real functions (26-XX)
47 Functional analysis (46-XX)
46 Difference and functional equations (39-XX)
42 Harmonic analysis on Euclidean spaces (42-XX)
41 Measure and integration (28-XX)
37 Special functions (33-XX)
35 Integral transforms, operational calculus (44-XX)
33 Topological groups, Lie groups (22-XX)
21 Combinatorics (05-XX)
21 Relativity and gravitational theory (83-XX)
20 Potential theory (31-XX)
18 General and overarching topics; collections (00-XX)
18 Nonassociative rings and algebras (17-XX)
14 Field theory and polynomials (12-XX)
13 Commutative algebra (13-XX)
9 Several complex variables and analytic spaces (32-XX)
6 Number theory (11-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
4 History and biography (01-XX)
4 Algebraic geometry (14-XX)
4 Convex and discrete geometry (52-XX)
4 Astronomy and astrophysics (85-XX)
3 Mathematical logic and foundations (03-XX)
3 Geometry (51-XX)
3 Manifolds and cell complexes (57-XX)
2 Group theory and generalizations (20-XX)
2 Abstract harmonic analysis (43-XX)
2 General topology (54-XX)
2 Mathematics education (97-XX)
1 Associative rings and algebras (16-XX)
1 Sequences, series, summability (40-XX)
1 Algebraic topology (55-XX)

Citations by Year