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: 1,090 Publications (since 1990) References Indexed: 716 Publications with 20,068 References. all top 5 Latest Issues 33, No. 6 (2022) 33, No. 5 (2022) 33, No. 4 (2022) 33, No. 3 (2022) 33, No. 2 (2022) 33, No. 1 (2022) 32, No. 6 (2021) 32, No. 5 (2021) 32, No. 4 (2021) 32, No. 3 (2021) 32, No. 2 (2021) 32, No. 1 (2021) 31, No. 6 (2020) 31, No. 5 (2020) 31, No. 4 (2020) 31, No. 3 (2020) 31, No. 2 (2020) 31, No. 1 (2020) 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) ...and 85 more Volumes all top 5 Authors 27 King, John Robert 24 Ward, Michael J. 14 Chapman, Stephen Jonathan 14 Howison, Samuel Dexter 12 Wei, Juncheng 11 Chen, Xinfu 10 Cummings, Linda J. 10 Knessl, Charles 10 Lacey, Andrew A. 9 Kolokolnikov, Theodore 9 Please, Colin P. 9 Richardson, Stanley 8 Galaktionov, Victor Aleksandrovich 8 Hocking, Graeme Charles 8 Matkowsky, Bernard J. 8 Movchan, Alexander B. 7 Entov, Vladimir M. 7 Ockendon, John R. 7 Peletier, Lambertus Adrianus 7 Shearer, Michael 7 Tew, Richard H. 7 Vanden-Broeck, Jean-Marc 6 Bertsch, Michiel 6 Bluman, George W. 6 Burger, Martin 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 Vazquez, Juan Luis 6 Winkler, Michael 6 Witelski, Thomas P. 5 Bertozzi, Andrea Louise 5 Byrne, Helen Mary 5 Cherniha, Roman M. 5 Etingof, Pavel Il’ich 5 Grinfeld, Michael 5 Hastings, Stuart P. 5 Howell, Peter D. 5 Kuske, Rachel A. 5 Painter, Kevin J. 5 Primicerio, Mario 5 Smith, Frank T. 5 Tzou, Justin C. 5 van Duijn, Cornelis Johannes 5 Velázquez, Juan J. L. 4 Ammari, Habib M. 4 Anco, Stephen C. 4 Aronson, Donald G. 4 Blowey, James F. 4 Bowen, Mark 4 Byatt-Smith, John G. B. 4 Chadam, John M. 4 Crowdy, Darren Gregory 4 Evans, Jonathan David 4 Foster, Jamie M. 4 Friedman, Avner 4 Glasner, Karl B. 4 Gnann, Manuel V. 4 Hilhorst, Danielle 4 Hillen, Thomas 4 Iron, David 4 Kang, Hyeonbae 4 Migórski, Stanisław 4 Mimura, Masayasu 4 Münch, Andreas 4 Ockendon, Hilary 4 Peletier, Mark Adriaan 4 Short, Martin B. 4 Terrill, E. L. 4 van den Berg, Jan Bouwe 4 Volpert, Vitaly A. 4 Wagner, Barbara A. 4 Wake, Graeme Charles 4 Wilson, Stephen Kenneth 3 Aftalion, Amandine 3 Almog, Yaniv 3 Aslanyan, A. G. 3 Atkinson, Colin 3 Barenblatt, Grigory Isaakovich 3 Bayada, Guy 3 Brubaker, Nicholas D. 3 Cheb-Terrab, E. S. 3 Chugunova, Marina A. 3 Cimatti, Giovanni 3 Ciuperca, Ionel Sorin 3 Clarkson, Peter A. 3 Craster, Richard V. 3 Da Costa, Fernando Pestana 3 Danilov, Vladimir G. 3 Davis, Stephen Howard 3 Davydovych, Vasyl V. 3 Dewynne, Jeffrey N. 3 Du, Qiang 3 Duffy, Brian Reginald 3 Eberl, Hermann J. 3 Erneux, Thomas ...and 1,459 more Authors all top 5 Fields 600 Partial differential equations (35-XX) 346 Fluid mechanics (76-XX) 132 Biology and other natural sciences (92-XX) 130 Mechanics of deformable solids (74-XX) 111 Statistical mechanics, structure of matter (82-XX) 95 Ordinary differential equations (34-XX) 88 Classical thermodynamics, heat transfer (80-XX) 81 Numerical analysis (65-XX) 69 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 60 Optics, electromagnetic theory (78-XX) 59 Probability theory and stochastic processes (60-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 44 Dynamical systems and ergodic theory (37-XX) 35 Computer science (68-XX) 22 Operations research, mathematical programming (90-XX) 21 Functions of a complex variable (30-XX) 21 Systems theory; control (93-XX) 20 Geophysics (86-XX) 19 Integral equations (45-XX) 18 Statistics (62-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Information and communication theory, circuits (94-XX) 13 General and overarching topics; collections (00-XX) 13 Combinatorics (05-XX) 13 Operator theory (47-XX) 9 Approximations and expansions (41-XX) 8 Differential geometry (53-XX) 6 Special functions (33-XX) 6 Mechanics of particles and systems (70-XX) 6 Quantum theory (81-XX) 5 Measure and integration (28-XX) 4 History and biography (01-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 3 Integral transforms, operational calculus (44-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-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 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 821 Publications have been cited 8,816 times in 7,152 Documents Cited by ▼ Year ▼ Blow-up in a chemotaxis model without symmetry assumptions. Zbl 1017.92006Horstmann, Dirk; Wang, Guofang 242 2001 Symmetry-based algorithms to relate partial differential equations. I: Local symmetries. Zbl 0718.35003Bluman, G. W.; Kumei, S. 206 1990 Symmetry-based algorithms to relate partial differential equations. II: Linearization by nonlocal symmetries. Zbl 0718.35004Bluman, G. W.; Kumei, S. 176 1990 Direct construction method for conservation laws of partial differential equations. I: Examples of conservation law classifications. Zbl 1034.35070Anco, Stephen C.; Bluman, George 173 2002 Propagation of frontal polymerization-crystallization waves. Zbl 0805.35143Volpert, Vit.; Volpert, Vl. 167 1994 Direct construction method for conservation laws of partial differential equations. II: General treatment. Zbl 1034.35071Anco, Stephen C.; Bluman, George 160 2002 On the generalized pantograph functional-differential equation. Zbl 0767.34054Iserles, A. 118 1993 Some mathematical results in the pricing of American options. Zbl 0797.60051Dewynne, J. N.; Howison, S. D.; Rupf, I.; Wilmott, P. 106 1993 Mathematics of thermoacoustic tomography. Zbl 1185.35327Kuchment, Peter; Kunyansky, Leonid 104 2008 The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. I: Mathematical analysis. Zbl 0797.35172Blowey, J. F.; Elliott, C. M. 96 1991 The Cahn-Hilliard equation with a concentration dependent mobility: Motion by minus the Laplacian of the mean curvature. Zbl 0861.35039Cahn, J. W.; Elliott, C. M.; Novick-Cohen, A. 93 1996 A survey on level set methods for inverse problems and optimal design. Zbl 1091.49001Burger, Martin; Osher, Stanley J. 83 2005 On single interior spike solutions of the Gierer-Meinhardt system: Uniqueness and spectrum estimates. Zbl 1014.35005Wei, Juncheng 82 1999 Thin film epitaxy with or without slope selection. Zbl 1059.35059Li, Bo; Liu, Jian-Guo 77 2003 Convergence of the phase field model to its sharp interface limits. Zbl 0930.35024Caginalp, Gunduz; Chen, Xinfu 71 1998 A comparison of four approaches to the calculation of conservation laws. Zbl 1002.35008Wolf, Thomas 67 2002 Free boundary value problems associated with the growth and development of multicellular spheroids. Zbl 0906.92016Byrne, H. M.; Chaplain, M. A. J. 67 1997 Spatial segregation limit of a competition-diffusion system. Zbl 0982.92031Dancer, E. N.; Hilhorst, D.; Mimura, M.; Peletier, L. A. 62 1999 Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory. Zbl 1253.82089Majumdar, Apala 61 2010 Complex variable methods in Hele-Shaw moving boundary problems. Zbl 0759.76022Howison, S. D. 60 1992 A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018Alberti, Giovanni; Bellettini, Giovanni 59 1998 Digital inpainting based on the Mumford-Shah-Euler image model. Zbl 1017.94505Esedoglu, Selim; Shen, Jianhong 58 2002 Remarks on the blowup and global existence for a two species chemotactic Keller-Segel system in \(\mathbb R^{2}\). Zbl 1241.35025Conca, Carlos; Espejo, Elio; Vilches, Karina 57 2011 Well-posedness of two-phase Hele-Shaw flow without surface tension. Zbl 1076.76027Ambrose, David M. 55 2004 Symmetry of steady deep-water waves with vorticity. Zbl 1125.76007Constantin, Adrian; Escher, Joachim 54 2004 Solutions for the two-phase Stefan problem with the Gibbs-Thomson law for the melting temperature. Zbl 0734.35159Luckhaus, Stephan 53 1990 An \(n\)-populations model for traffic flow. Zbl 1143.82323Benzoni-Gavage, Sylvie; Colombo, Rinaldo M. 49 2003 History-dependent quasi-variational inequalities arising in contact mechanics. Zbl 1226.49012Sofonea, Mircea; Matei, Andaluzia 49 2011 The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. II: Numerical analysis. Zbl 0810.35158Blowey, J. F.; Elliott, C. M. 48 1992 On the Bean critical-state model in superconductivity. Zbl 0873.49007Prigozhin, L. 47 1996 On a diffuse interface model of tumour growth. Zbl 1375.92031Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta 47 2015 Multi-components chemotactic system in the absence of conflicts. Zbl 1008.92008Wolansky, G. 46 2002 Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1375.92011Garcke, Harald; Lam, Kei Fong 45 2017 Variational model of sandpile growth. Zbl 0913.73079Prigozhin, Leonid 42 1996 Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution. Zbl 0768.35001Reid, Gregory J. 42 1991 Thermal runaway in a non-local problem modelling Ohmic heating. I: Model derivation and some special cases. Zbl 0843.35008Lacey, A. A. 42 1995 How to construct the discrete symmetries of partial differential equations. Zbl 1035.35005Hydon, P. E. 41 2000 Analysis of a mixture model of tumor growth. Zbl 1292.35153Lowengrub, John; Titi, Edriss; Zhao, Kun 40 2013 Singular perturbation analysis of the steady-state Poisson-Nernst-Planck system: Applications to ion channels. Zbl 1145.92010Singer, A.; Gillespie, D.; Norbury, J.; Eisenberg, R. S. 38 2008 Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023Amick, C. J.; Toland, J. F. 38 1992 Reduction of systems of nonlinear partial differential equations to simplified involutive forms. Zbl 0892.35041Reid, Gregory J.; Wittkopf, Allan D.; Boulton, Alan 38 1996 Numerical analysis of history-dependent variational-hemivariational inequalities with applications to contact problems. Zbl 1439.74230Sofonea, Mircea; Han, Weimin; Migórski, Stanisław 37 2015 Propagation of hexagonal patterns near onset. Zbl 1044.37049Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido 36 2003 A mean-field model of superconducting vortices. Zbl 0849.35135Chapman, S. J.; Rubinstein, J.; Schatzman, M. 36 1996 Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations. Zbl 1400.65053Dutykh, Denys; Clamond, Didier; Milewski, Paul; Mitsotakis, Dimitrios 35 2013 Moment-free numerical approximation of highly oscillatory integrals with stationary points. Zbl 1153.65325Olver, Sheehan 35 2007 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 1079.35087Boyd, John P. 35 2005 Properties of steady states for thin film equations. Zbl 1041.76008Laugesen, R. S.; Pugh, M. C. 34 2000 A selfsimilar solution to the focusing problem for the porous medium equation. Zbl 0780.35079Aronson, D. G.; Graveleau, J. 34 1993 Thermal runaway in a nonlocal problem modelling Ohmic heating. II: General proof of blow-up and asymptotics of runaway. Zbl 0849.35058Lacey, A. A. 34 1995 Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps. Zbl 1090.35070Kolokolnikov, T.; Titcombe, M. S.; Ward, M. J. 34 2005 Hopf bifurction of spike solutions for the shadow Gierer-Meinhardt model. Zbl 1063.35030Ward, M. J.; Wei, J. 33 2003 Interpolation of spatial data – a stochastic or a deterministic problem? Zbl 1426.62284Scheuerer, M.; Schaback, R.; Schlather, M. 32 2013 The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model. Zbl 1018.82024Gasser, 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 0922.35033Cherniha, Roman; Serov, Mykola 32 1998 Asymptotic behaviour of functional-differential equations with proportional time delays. Zbl 0856.34078Liu, Yunkang 32 1996 Asymmetric spike patterns for the one-dimensional Gierer-Meinhardt model: Equilibria and stability. Zbl 1010.35002Ward, M. J.; Wei, J. 32 2002 A general construction of fractal interpolation functions on grids of \(\mathbb R\). Zbl 1153.41306Bouboulis, P.; Dalla, L. 32 2007 Infiltration in porous media with dynamic capillary pressure: Travelling waves. Zbl 0970.76096Cuesta, C.; van Duijn, C. J.; Hulshof, J. 32 2000 A nonlocal reaction-diffusion model for a single species with stage structure and distributed maturation delay. Zbl 1079.35015Al-Omari, J. F. M.; Gourley, S. A. 32 2005 Adding police to a mathematical model of burglary. Zbl 1233.91225Pitcher, Ashley B. 30 2010 Non-local dispersal and bistability. Zbl 1114.35021Hutson, V.; Grinfeld, M. 30 2006 Homogenisation of a locally periodic medium with areas of low and high diffusivity. Zbl 1233.35020van Noorden, T. L.; Muntean, A. 29 2011 New exact solutions of the Boussinesq equation. Zbl 0721.35074Clarkson, Peter A. 29 1990 Boundedness of solutions of a non-local reaction-diffusion model for adhesion in cell aggregation and cancer invasion. Zbl 1194.35219Sherratt, Jonathan A.; Gourley, Stephen A.; Armstrong, Nicola J.; Painter, Kevin J. 28 2009 Laminates and microstructure. Zbl 0779.73050Pedregal, Pablo 28 1993 Elastic-plated gravity currents. Zbl 1387.76026Hewitt, I. J.; Balmforth, N. J.; De Bruyn, J. R. 28 2015 Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003Cakoni, F.; Colton, D. 27 2005 Explicit flock solutions for quasi-Morse potentials. Zbl 1304.82049Carrillo, J. A.; Huang, Y.; Martin, S. 26 2014 On the computation of blow-up. Zbl 0701.76038Stuart, A. M.; Floater, M. S. 26 1990 Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019Ferreira, Raul; Bernis, Francisco 25 1997 Analysis of the viscous quantum hydrodynamic equations for semiconductors. Zbl 1076.82049Gualdini, Maria Pia; Jüngel, Ansgar 25 2004 Steady state solutions of a bi-stable quasi-linear equation with saturating flux. Zbl 1219.35186Burns, M.; Grinfeld, M. 25 2011 Non-linear effects on canonical MEMS models. Zbl 1252.78010Brubaker, Nicholas D.; Pelesko, John A. 25 2011 Asymptotic spreading of competition diffusion systems: the role of interspecific competitions. Zbl 1256.35179Lin, Guo; Li, Wan-Tong 25 2012 Two-dimensional Stokes and Hele-Shaw flows with free surfaces. Zbl 0955.76023Cummings, L. J.; Howison, S. D.; King, J. R. 25 1999 Moving-boundary and fixed-domain problems for a sixth-order thin-film equation. Zbl 1105.76010Flitton, J. C.; King, J. R. 25 2004 Uniqueness and stability of the solution to a thermoelastic contact problem. Zbl 0722.73058Shi, Peter; Shillor, Meir 25 1990 An Abel ordinary differential equation class generalizing known integrable classes. Zbl 1046.34004Cheb-Terrab, E. S.; Roche, A. D. 24 2003 On the asymptotics of solutions of a class of linear functional-differential equations. Zbl 0859.34049Derfel, G.; Vogl, F. 24 1996 Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between \(3/2\) and 3. Zbl 1292.35067Giacomelli, Lorenzo; Gnann, Manuel V.; Otto, Felix 24 2013 Optimal design of periodic antireflective structures for the Helmholtz equation. Zbl 0806.35175Dobson, David C. 24 1993 Integrating factors and first integrals for ordinary differential equations. Zbl 0922.34006Anco, Stephen C.; Bluman, George 24 1998 A Ginzburg-Landau type model of superconducting normal junctions including Josephson junctions. Zbl 0843.35120Chapman, S. Jonathan; Du, Qiang; Gunzburger, Max D. 24 1995 Hyperbolicity and kinematic waves of a class of multi-population partial differential equations. Zbl 1107.35389Zhang, Peng; Liu, Ru-Xun; Wong, S. C.; Dai, Shi-Qiang 24 2006 Transport equations with resting phases. Zbl 1050.92052Hillen, T. 23 2003 Finding abstract Lie symmetry algebras of differential equations without integrating determining equations. Zbl 0768.35002Reid, Gregory J. 23 1991 Aggregation under local reinforcement: from lattice to continuum. Zbl 1062.92007Horstmann, Dirk; Painter, Kevin J.; Othmer, Hans G. 23 2004 Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Zbl 1375.92049Girardin, Léo; Nadin, Grégoire 23 2015 Polynomial chaos for the approximation of uncertainties: Chances and limits. Zbl 1148.65004Augustin, F.; Gilg, A.; Paffrath, M.; Rentrop, P.; Wever, U. 23 2008 On Hele-Shaw flow of power-law fluids. Zbl 0769.76003Aronsson, Gunnar; Janfalk, Ulf 23 1992 Source-type solutions of the fourth-order unstable thin film equation. Zbl 1156.35387Evans, J. D.; Galaktionov, V. A.; King, J. R. 22 2007 On the dynamic behaviour of a thermoviscoelastic body in frictional contact with a rigid obstacle. Zbl 0894.73135Andrews, K. T.; Kuttler, K. L.; Shillor, M. 22 1997 Global existence of solutions for a chemotaxis-type system arising in crime modelling. Zbl 1284.35445Manásevich, Raúl; Phan Quoc Hung; Souplet, Philippe 22 2013 Moving boundary problems and non-uniqueness for the thin film equation. Zbl 0985.35113King, J. R.; Bowen, M. 22 2001 Self-organised critical hot spots of criminal activity. Zbl 1233.91229Berestycki, H.; Nadal, J.-P. 22 2010 Explicit stationary solutions in multiple well dynamics and non-uniqueness of interfacial energy densities. Zbl 1165.35363Alikakos, Nicholas D.; Betelú, Santiago I.; Chen, Xinfu 21 2006 Stability of compressive and undercompressive thin film travelling waves. Zbl 1028.76012Bertozzi, Andrea L.; Münch, Andreas; Shearer, Michael; Zumbrun, Kevin 21 2001 Hugoniot-type conditions and weak solutions to the phase-field system. Zbl 0918.35036Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 21 1999 Oscillatory instabilities and dynamics of multi-spike patterns for the one-dimensional Gray-Scott model. Zbl 1197.35021Chen, Wan; Ward, Michael J. 20 2009 Well-posedness of the Muskat problem in subcritical \(L_p\)-Sobolev spaces. Zbl 07629684Abels, H.; Matioc, B.-V. 1 2022 A continuum limit for the PageRank algorithm. Zbl 07629691Yuan, A.; Calder, J.; Osting, B. 1 2022 Asymptotics of the principal eigenvalue of the Laplacian in 2D periodic domains with small traps. Zbl 07629697Paquin-Lefebvre, F.; Iyaniwura, S.; Ward, M. J. 1 2022 Solving parametric PDE problems with artificial neural networks. Zbl 1501.65154Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing 20 2021 Solving high-dimensional optimal stopping problems using deep learning. Zbl 07441301Becker, Sebastian; Cheridito, Patrick; Jentzen, Arnulf; Welti, Timo 8 2021 Structure-preserving deep learning. Zbl 07440570Celledoni, E.; Ehrhardt, M. J.; Etmann, C.; McLachlan, R. I.; Owren, B.; Schonlieb, C.-B.; Sherry, F. 6 2021 Learning and meta-learning of stochastic advection-diffusion-reaction systems from sparse measurements. Zbl 07441294Chen, Xiaoli; Duan, Jinqiao; Karniadakis, George Em 4 2021 Global dynamics and spatio-temporal patterns of predator-prey systems with density-dependent motion. Zbl 07629672Jin, Hai-Yang; Wang, Zhi-An 2 2021 A multi-level procedure for enhancing accuracy of machine learning algorithms. Zbl 1482.65149Lye, Kjetil O.; Mishra, Siddhartha; Molinaro, Roberto 2 2021 Deep learning models for global coordinate transformations that linearise PDEs. Zbl 1479.35021Gin, Craig; Lusch, Bethany; Brunton, Steven L.; Kutz, J. Nathan 2 2021 Graph interpolating activation improves both natural and robust accuracies in data-efficient deep learning. Zbl 07441298Wang, Bao; Osher, Stan J. 2 2021 Continuous-domain assignment flows. Zbl 1479.35904Savarino, F.; Schnörr, C. 2 2021 Domain formation via phase separation for spherical biomembranes with small deformations. Zbl 1479.35013Elliott, C. M.; Hatcher, L. 2 2021 Thin-layer solutions of the Helmholtz equation. Zbl 1478.78070Ockendon, J. R.; Tew, R. H. 2 2021 Cahn-Hilliard equations on an evolving surface. Zbl 1479.35902Caetano, D.; Elliott, C. M. 2 2021 Connections between deep learning and partial differential equations. Zbl 1479.35002Burger, 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 1479.35534Lipton, Alexander; Kaushansky, Vadim; Reisinger, Christoph 1 2021 A reaction-diffusion epidemic model with incubation period in almost periodic environments. Zbl 1479.35530Qiang, Lizhong; Wang, Bin-Guo; Wang, Zhi-Cheng 1 2021 The amyloid cascade hypothesis and Alzheimer’s disease: a mathematical model. Zbl 1478.92044Bertsch, M.; Franchi, B.; Meacci, L.; Primicerio, M.; Tesi, M. C. 1 2021 Dispersive fractalisation in linear and nonlinear Fermi-Pasta-Ulam-Tsingou lattices. Zbl 1484.37093Olver, Peter J.; Stern, Ari 1 2021 Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion. Zbl 07629614Li, Huicong; Peng, Rui; Xiang, Tian 1 2020 Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering. Zbl 07629618Chen, M. J.; Kimpton, L. S.; Whiteley, J. P.; Castilho, M.; Malda, J.; Please, C. P.; Waters, S. L.; Byrne, H. M. 1 2020 Large data limit for a phase transition model with the \(p\)-Laplacian on point clouds. Zbl 07629621Cristoferi, R.; Thorpe, M. 1 2020 Existence, uniqueness and stability of transition fronts of non-local equations in time heterogeneous bistable media. Zbl 07629637Shen, Wenxian; Shen, Zhongwei 1 2020 Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G. 17 2019 Pattern formation in bacterial colonies with density-dependent diffusion. Zbl 1407.92030Smith-Roberge, Julien; Iron, David; Kolokolnikov, Theodore 16 2019 A new class of costs for optimal transport planning. Zbl 1435.90143Alibert, J.-J.; Bouchitté, G.; Champion, T. 12 2019 Applications of Magnus expansions and pseudospectra to Markov processes. Zbl 1427.60167Iserles, A.; Macnamara, S. 8 2019 Balanced viscosity solutions to a rate-independent system for damage. Zbl 1407.35193Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara 7 2019 Minimal convex extensions and finite difference discretisation of the quadratic Monge-Kantorovich problem. Zbl 1427.65326Benamou, Jean-David; Duval, Vincent 6 2019 Quantum entropic regularization of matrix-valued optimal transport. 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Zbl 1390.91039Elmoataz, A.; Desquesnes, X.; Toutain, M. 7 2017 ...and 721 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,364 Authors 67 Wei, Juncheng 53 Ward, Michael J. 45 Sofonea, Mircea 44 Mu, Chunlai 42 Garcke, Harald 38 Migórski, Stanisław 37 Kara, Abdul Hamid 36 Gandarias Núñez, Maria Luz 35 Khalique, Chaudry Masood 35 Winkler, Michael 33 Bruzón, Maria Santos 31 King, John Robert 26 Kolokolnikov, Theodore 26 Volpert, Vitaly A. 25 Rocca, Elisabetta 24 Carrillo de la Plata, José Antonio 23 Nürnberg, Robert 21 Galaktionov, Victor Aleksandrovich 21 Shillor, Meir 21 Vazquez, Juan Luis 20 Chen, Xinfu 20 Li, Wan-Tong 20 Popovych, Roman O. 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 Colli, Pierluigi 18 Dutykh, Denys 18 Friedman, Avner 18 Giné, Jaume 18 Kim, Junseok 18 Llibre, Jaume 18 Zheng, Pan 17 Clarkson, Peter A. 17 Pop, Iuliu Sorin 17 Sophocleous, Christodoulos 17 Wang, Liangchen 16 Han, Weimin 16 Hintermüller, Michael 16 Lustri, Christopher J. 16 Mahomed, Fazal M. 16 Majumdar, Apala 16 McCue, Scott William 16 Radkevich, Evgeniĭ Vladimirovich 16 Witelski, Thomas P. 15 Bluman, George W. 15 Cherniha, Roman M. 15 Elliott, Charles M. 15 Escher, Joachim 15 Gancedo, Francisco 15 Jin, Haiyang 15 Lam, Kei Fong 15 Lin, Ke 15 Momoniat, Ebrahim 15 Papageorgiou, Demetrios T. 15 Wang, Cheng 14 Bürger, Raimund 14 Cummings, Linda J. 14 Freire, Igor Leite 14 Münch, Arnaud 14 Painter, Kevin J. 14 Rossi, Riccarda 14 Sprekels, Jürgen 14 van Brunt, Bruce 14 Wang, Shu 14 Wang, Zhian 14 Zhang, Mingji 13 Barrett, John William 13 Bertozzi, Andrea Louise 13 Chaplain, Mark A. J. 13 Cui, Shangbin 13 Haltmeier, Markus 13 Kang, Hyeonbae 13 Matioc, Bogdan-Vasile 13 Pulch, Roland 13 Signori, Andrea 13 Walker, Christoph 13 Wu, Hao 13 Wu, Shiliang 13 Yousept, Irwin 13 Zhang, Hongqing 12 Cordoba, Diego 12 Fan, Jishan 12 Guo, Zongming 12 Iserles, Arieh 12 Jüngel, Ansgar 12 Kalliadasis, Serafim 12 Lindsay, Alan E. 12 Lowengrub, John Samuel 12 Miranville, Alain M. 12 Münch, Andreas 12 Muntean, Adrian 12 Rautenberg, Carlos N. 12 Ruan, Shigui ...and 8,264 more Authors all top 5 Cited in 597 Journals 339 Journal of Mathematical Analysis and Applications 271 Journal of Differential Equations 192 Applied Mathematics and Computation 173 Journal of Fluid Mechanics 168 European Journal of Applied Mathematics 167 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 154 Physica D 149 Journal of Computational Physics 124 Nonlinear Analysis. 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Nonlinear Differential Equations and Applications 28 Boundary Value Problems 28 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 27 Mathematics and Computers in Simulation 27 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 26 Abstract and Applied Analysis 26 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Advances in Difference Equations 25 Physics Letters. A 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 Communications in Mathematical Physics 24 SIAM Journal on Imaging Sciences 23 Quarterly of Applied Mathematics 23 International Journal of Computer Mathematics 23 Mathematical Biosciences and Engineering 21 Physica A 21 SIAM Journal on Scientific Computing 21 Nonlinear Dynamics 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 Multiscale Modeling & Simulation 19 SIAM Journal on Numerical Analysis 19 Chaos 19 Journal of Evolution Equations 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 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 17 Journal of Statistical Physics 17 Journal of Inverse and Ill-Posed Problems 17 Science China. Mathematics 16 Proceedings of the American Mathematical Society 16 Journal of Symbolic Computation 16 Numerical Algorithms 16 Continuum Mechanics and Thermodynamics 16 Computational and Applied Mathematics 16 Advances in Computational Mathematics ...and 497 more Journals all top 5 Cited in 59 Fields 4,350 Partial differential equations (35-XX) 1,588 Fluid mechanics (76-XX) 1,282 Numerical analysis (65-XX) 1,173 Biology and other natural sciences (92-XX) 727 Mechanics of deformable solids (74-XX) 704 Ordinary differential equations (34-XX) 506 Calculus of variations and optimal control; optimization (49-XX) 434 Statistical mechanics, structure of matter (82-XX) 433 Dynamical systems and ergodic theory (37-XX) 308 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 296 Classical thermodynamics, heat transfer (80-XX) 271 Probability theory and stochastic processes (60-XX) 260 Optics, electromagnetic theory (78-XX) 215 Operator theory (47-XX) 184 Global analysis, analysis on manifolds (58-XX) 163 Computer science (68-XX) 150 Integral equations (45-XX) 146 Systems theory; control (93-XX) 121 Operations research, mathematical programming (90-XX) 93 Information and communication theory, circuits (94-XX) 88 Statistics (62-XX) 83 Approximations and expansions (41-XX) 83 Mechanics of particles and systems (70-XX) 78 Differential geometry (53-XX) 78 Geophysics (86-XX) 59 Quantum theory (81-XX) 58 Real functions (26-XX) 57 Functions of a complex variable (30-XX) 49 Functional analysis (46-XX) 47 Difference and functional equations (39-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 46 Measure and integration (28-XX) 39 Special functions (33-XX) 35 Integral transforms, operational calculus (44-XX) 33 Topological groups, Lie groups (22-XX) 24 Combinatorics (05-XX) 21 General and overarching topics; collections (00-XX) 21 Potential theory (31-XX) 21 Relativity and gravitational theory (83-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) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Number theory (11-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) 2 Group theory and generalizations (20-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Mathematics education (97-XX) 1 Associative rings and algebras (16-XX) 1 Algebraic topology (55-XX) Citations by Year