## 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.
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### Latest Issues

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### 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 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 3 Kaltenbacher, Barbara ...and 1,312 more Authors
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### 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)

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Propagation of frontal polymerization-crystallization waves. Zbl 0805.35143
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Direct construction method for conservation laws of partial differential equations. II: General treatment. Zbl 1034.35071
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Mathematics of thermoacoustic tomography. Zbl 1185.35327
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Some mathematical results in the pricing of American options. Zbl 0797.60051
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The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. I: Mathematical analysis. Zbl 0797.35172
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The Cahn-Hilliard equation with a concentration dependent mobility: Motion by minus the Laplacian of the mean curvature. Zbl 0861.35039
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A survey on level set methods for inverse problems and optimal design. Zbl 1091.49001
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On single interior spike solutions of the Gierer-Meinhardt system: Uniqueness and spectrum estimates. Zbl 1014.35005
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Thin film epitaxy with or without slope selection. Zbl 1059.35059
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Convergence of the phase field model to its sharp interface limits. Zbl 0930.35024
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1998
A comparison of four approaches to the calculation of conservation laws. Zbl 1002.35008
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Free boundary value problems associated with the growth and development of multicellular spheroids. Zbl 0906.92016
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Spatial segregation limit of a competition-diffusion system. Zbl 0982.92031
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Complex variable methods in Hele-Shaw moving boundary problems. Zbl 0759.76022
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1992
A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018
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Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory. Zbl 1253.82089
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Digital inpainting based on the Mumford-Shah-Euler image model. Zbl 1017.94505
Esedoglu, Selim; Shen, Jianhong
2002
Remarks on the blowup and global existence for a two species chemotactic Keller-Segel system in $$\mathbb R^{2}$$. Zbl 1241.35025
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2011
Symmetry of steady deep-water waves with vorticity. Zbl 1125.76007
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Solutions for the two-phase Stefan problem with the Gibbs-Thomson law for the melting temperature. Zbl 0734.35159
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Well-posedness of two-phase Hele-Shaw flow without surface tension. Zbl 1076.76027
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An $$n$$-populations model for traffic flow. Zbl 1143.82323
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2003
History-dependent quasi-variational inequalities arising in contact mechanics. Zbl 1226.49012
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2011
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
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1991
The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. II: Numerical analysis. Zbl 0810.35158
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1992
Multi-components chemotactic system in the absence of conflicts. Zbl 1008.92008
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2002
On the Bean critical-state model in superconductivity. Zbl 0873.49007
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1996
Thermal runaway in a non-local problem modelling Ohmic heating. I: Model derivation and some special cases. Zbl 0843.35008
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1995
Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1375.92011
Garcke, Harald; Lam, Kei Fong
2017
On a diffuse interface model of tumour growth. Zbl 1375.92031
Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta
2015
Variational model of sandpile growth. Zbl 0913.73079
Prigozhin, Leonid
1996
Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023
Amick, C. J.; Toland, J. F.
1992
How to construct the discrete symmetries of partial differential equations. Zbl 1035.35005
Hydon, P. E.
2000
Propagation of hexagonal patterns near onset. Zbl 1044.37049
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
2003
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.
2005
A selfsimilar solution to the focusing problem for the porous medium equation. Zbl 0780.35079
Aronson, D. G.; Graveleau, J.
1993
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.
2008
Analysis of a mixture model of tumor growth. Zbl 1292.35153
Lowengrub, John; Titi, Edriss; Zhao, Kun
2013
A mean-field model of superconducting vortices. Zbl 0849.35135
Chapman, S. J.; Rubinstein, J.; Schatzman, M.
1996
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations. Zbl 1400.65053
Dutykh, Denys; Clamond, Didier; Milewski, Paul; Mitsotakis, Dimitrios
2013
Reduction of systems of nonlinear partial differential equations to simplified involutive forms. Zbl 0892.35041
Reid, Gregory J.; Wittkopf, Allan D.; Boulton, Alan
1996
Moment-free numerical approximation of highly oscillatory integrals with stationary points. Zbl 1153.65325
Olver, Sheehan
2007
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms. Zbl 0922.35033
Cherniha, Roman; Serov, Mykola
1998
Numerical analysis of history-dependent variational-hemivariational inequalities with applications to contact problems. Zbl 1439.74230
Sofonea, Mircea; Han, Weimin; Migórski, Stanisław
2015
Properties of steady states for thin film equations. Zbl 1041.76008
Laugesen, R. S.; Pugh, M. C.
2000
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.
2005
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.
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
2001
Asymmetric spike patterns for the one-dimensional Gierer-Meinhardt model: Equilibria and stability. Zbl 1010.35002
Ward, M. J.; Wei, J.
2002
Hopf bifurction of spike solutions for the shadow Gierer-Meinhardt model. Zbl 1063.35030
Ward, M. J.; Wei, J.
2003
Thermal runaway in a nonlocal problem modelling Ohmic heating. II: General proof of blow-up and asymptotics of runaway. Zbl 0849.35058
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1995
New exact solutions of the Boussinesq equation. Zbl 0721.35074
Clarkson, Peter A.
1990
Asymptotic behaviour of functional-differential equations with proportional time delays. Zbl 0856.34078
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1996
Interpolation of spatial data – a stochastic or a deterministic problem? Zbl 1426.62284
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2013
A general construction of fractal interpolation functions on grids of $$\mathbb R$$. Zbl 1153.41306
Bouboulis, P.; Dalla, L.
2007
Infiltration in porous media with dynamic capillary pressure: Travelling waves. Zbl 0970.76096
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2000
Elastic-plated gravity currents. Zbl 1387.76026
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2015
Laminates and microstructure. Zbl 0779.73050
Pedregal, Pablo
1993
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.
2009
Adding police to a mathematical model of burglary. Zbl 1233.91225
Pitcher, Ashley B.
2010
Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019
Ferreira, Raul; Bernis, Francisco
1997
Uniqueness and stability of the solution to a thermoelastic contact problem. Zbl 0722.73058
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1990
Non-local dispersal and bistability. Zbl 1114.35021
Hutson, V.; Grinfeld, M.
2006
Steady state solutions of a bi-stable quasi-linear equation with saturating flux. Zbl 1219.35186
Burns, M.; Grinfeld, M.
2011
Integrating factors and first integrals for ordinary differential equations. Zbl 0922.34006
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1998
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
2005
Homogenisation of a locally periodic medium with areas of low and high diffusivity. Zbl 1233.35020
van Noorden, T. L.; Muntean, A.
2011
A Ginzburg-Landau type model of superconducting normal junctions including Josephson junctions. Zbl 0843.35120
Chapman, S. Jonathan; Du, Qiang; Gunzburger, Max D.
1995
On the asymptotics of solutions of a class of linear functional-differential equations. Zbl 0859.34049
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1996
Finding abstract Lie symmetry algebras of differential equations without integrating determining equations. Zbl 0768.35002
Reid, Gregory J.
1991
On the computation of blow-up. Zbl 0701.76038
Stuart, A. M.; Floater, M. S.
1990
Asymptotic spreading of competition diffusion systems: the role of interspecific competitions. Zbl 1256.35179
Lin, Guo; Li, Wan-Tong
2012
Optimal design of periodic antireflective structures for the Helmholtz equation. Zbl 0806.35175
Dobson, David C.
1993
Non-linear effects on canonical MEMS models. Zbl 1252.78010
Brubaker, Nicholas D.; Pelesko, John A.
2011
Moving boundary problems and non-uniqueness for the thin film equation. Zbl 0985.35113
King, J. R.; Bowen, M.
2001
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
2006
Explicit flock solutions for quasi-Morse potentials. Zbl 1304.82049
Carrillo, J. A.; Huang, Y.; Martin, S.
2014
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
2013
Two-dimensional Stokes and Hele-Shaw flows with free surfaces. Zbl 0955.76023
Cummings, L. J.; Howison, S. D.; King, J. R.
1999
An Abel ordinary differential equation class generalizing known integrable classes. Zbl 1046.34004
Cheb-Terrab, E. S.; Roche, A. D.
2003
Aggregation under local reinforcement: from lattice to continuum. Zbl 1062.92007
Horstmann, Dirk; Painter, Kevin J.; Othmer, Hans G.
2004
Analysis of the viscous quantum hydrodynamic equations for semiconductors. Zbl 1076.82049
Gualdini, Maria Pia; Jüngel, Ansgar
2004
Transport equations with resting phases. Zbl 1050.92052
Hillen, T.
2003
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.
1997
Source-type solutions of the fourth-order unstable thin film equation. Zbl 1156.35387
Evans, J. D.; Galaktionov, V. A.; King, J. R.
2007
Moving-boundary and fixed-domain problems for a sixth-order thin-film equation. Zbl 1105.76010
Flitton, J. C.; King, J. R.
2004
On Hele-Shaw flow of power-law fluids. Zbl 0769.76003
Aronsson, Gunnar; Janfalk, Ulf
1992
Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Zbl 1375.92049
2015
Polynomial chaos for the approximation of uncertainties: Chances and limits. Zbl 1148.65004
Augustin, F.; Gilg, A.; Paffrath, M.; Rentrop, P.; Wever, U.
2008
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
2006
Artificial boundary conditions of absolute transparency for two- and three-dimensional external time-dependent scattering problems. Zbl 0926.35070
Sofronov, Ivan L.
1998
Hugoniot-type conditions and weak solutions to the phase-field system. Zbl 0918.35036
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
1999
Sharp condition for blow-up and global existence in a two species chemotactic Keller-Segel system in $$\mathbb R^2$$. Zbl 1284.35448
Espejo, Elio; Vilches, Karina; Conca, Carlos
2013
Oscillatory instabilities and dynamics of multi-spike patterns for the one-dimensional Gray-Scott model. Zbl 1197.35021
Chen, Wan; Ward, Michael J.
2009
Self-organised critical hot spots of criminal activity. Zbl 1233.91229
2010
Solving parametric PDE problems with artificial neural networks. Zbl 07441295
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
2021
Structure-preserving deep learning. Zbl 07440570
Celledoni, E.; Ehrhardt, M. J.; Etmann, C.; McLachlan, R. I.; Owren, B.; Schonlieb, C.-B.; Sherry, F.
2021
Deep learning models for global coordinate transformations that linearise PDEs. Zbl 1479.35021
Gin, Craig; Lusch, Bethany; Brunton, Steven L.; Kutz, J. Nathan
2021
Continuous-domain assignment flows. Zbl 1479.35904
Savarino, F.; Schnörr, C.
2021
Solving high-dimensional optimal stopping problems using deep learning. Zbl 07441301
Becker, Sebastian; Cheridito, Patrick; Jentzen, Arnulf; Welti, Timo
2021
Learning and meta-learning of stochastic advection-diffusion-reaction systems from sparse measurements. Zbl 07441294
Chen, Xiaoli; Duan, Jinqiao; Karniadakis, George Em
2021
A multi-level procedure for enhancing accuracy of machine learning algorithms. Zbl 1482.65149
Lye, Kjetil O.; Mishra, Siddhartha; Molinaro, Roberto
2021
Graph interpolating activation improves both natural and robust accuracies in data-efficient deep learning. Zbl 07441298
Wang, Bao; Osher, Stan J.
2021
Domain formation via phase separation for spherical biomembranes with small deformations. Zbl 1479.35013
Elliott, C. M.; Hatcher, L.
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.
2021
Thin-layer solutions of the Helmholtz equation. Zbl 1478.78070
Ockendon, J. R.; Tew, R. H.
2021
Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302
Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G.
2019
Pattern formation in bacterial colonies with density-dependent diffusion. Zbl 1407.92030
Smith-Roberge, Julien; Iron, David; Kolokolnikov, Theodore
2019
A new class of costs for optimal transport planning. Zbl 1435.90143
Alibert, J.-J.; Bouchitté, G.; Champion, T.
2019
Balanced viscosity solutions to a rate-independent system for damage. Zbl 1407.35193
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
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.
2019
Quantum entropic regularization of matrix-valued optimal transport. Zbl 1428.49047
Peyré, Gabriel; Chizat, Lénaïc; Vialard, François-Xavier; Solomon, Justin
2019
Applications of Magnus expansions and pseudospectra to Markov processes. Zbl 1427.60167
Iserles, A.; Macnamara, S.
2019
Minimal convex extensions and finite difference discretisation of the quadratic Monge-Kantorovich problem. Zbl 1427.65326
Benamou, Jean-David; Duval, Vincent
2019
Noise-induced mixing and multimodality in reaction networks. Zbl 1425.92090
Plesa, Tomislav; Erban, Radek; Othmer, Hans G.
2019
Interpolation of matrices and matrix-valued densities: the unbalanced case. Zbl 1429.81039
Chen, Yongxin; Georgiou, Tryphon T.; Tannenbaum, Allen
2019
A measure theoretic approach to traffic flow optimisation on networks. Zbl 1428.49050
Cacace, Simone; Camilli, Fabio; De Maio, Raul; Tosin, Andrea
2019
On $$c$$-cyclical monotonicity for optimal transport problem with Coulomb cost. Zbl 1428.49013
De Pascale, Luigi
2019
Variety of unsymmetric multibranched logarithmic vortex spirals. Zbl 1407.35158
Elling, V.; Gnann, M. V.
2019
Rigorous results in existence and selection of Saffman-Taylor fingers by kinetic undercooling. Zbl 1407.76036
Xie, Xuming
2019
Homogenization of a non-stationary non-Newtonian flow in a porous medium containing a thin fissure. Zbl 1427.76246
Anguiano, María
2019
Numerical determination of anomalies in multifrequency electrical impedance tomography. Zbl 1429.92091
Ammari, Habib; Triki, Faouzi; Tsou, Chun-Hsiang
2019
A global stability estimate for the photo-acoustic inverse problem in layered media. Zbl 1427.35365
Ren, Kui; Triki, Faouzi
2019
On the mean field approximation of a stochastic model of tumour-induced angiogenesis. Zbl 1429.92040
Capasso, V.; Flandoli, F.
2019
Allen-Cahn equation with strong irreversibility. Zbl 1427.35110
Akagi, Goro; Efendiev, Messoud
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.
2019
Approximate analytical solutions for a class of nonlinear stochastic differential equations. Zbl 1439.34064
Meimaris, A. T.; Kougioumtzoglou, I. A.; Pantelous, A. A.
2019
On the stochastic resonance phenomenon in parametrically excited systems. Zbl 1429.34067
2019
Towards sample path estimates for fast-slow stochastic partial differential equations. Zbl 1423.60099
Gnann, Manuel V.; Kuehn, Christian; Pein, Anne
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.
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
2019
Transition to nestedness in multi- to one-dimensional optimal transport. Zbl 1428.49046
Chiappori, Pierre-André; McCann, Robert; Pass, Brendan
2019
Dynamic and stochastic propagation of the Brenier optimal mass transport. Zbl 1428.49048
Barton, Alistair; Ghoussoub, Nassif
2019
Friedlander-Keller ray expansions and scalar wave reflection at canonically perturbed boundaries. Zbl 1407.78015
Tew, R. H.
2019
Uniqueness in the determination of loads in multi-span beams and plates. Zbl 1407.74054
Kawano, Alexandre; Morassi, Antonino
2019
Spreading in kinetic reaction-transport equations in higher velocity dimensions. Zbl 1433.35415
Bouin, Emeric; Caillerie, Nils
2019
Semi-analytical study of the Voinovs problem. Zbl 1427.76032
Karabut, E. A.; Petrov, A. G.; Zhuravleva, E. N.
2019
A hunter-gatherer-farmer population model: Lie symmetries, exact solutions and their interpretation. Zbl 1430.91064
Cherniha, R. M.; Davydovych, V. V.
2019
Systematic derivation of a surface polarisation model for planar perovskite solar cells. Zbl 1431.78005
Courtier, N. E.; Foster, J. M.; O&rsquo;Kane, S. E. J.; Walker, A. B.; Richardson, G.
2019
Macroscopic models for calcium carbonate corrosion due to sulfation. Variation of diffusion and volume expansion. Zbl 1429.92150
Nikolopoulos, Christos V.
2019
Models for the two-phase flow of concentrated suspensions. Zbl 1427.76260
Ahnert, Tobias; Münch, Andreas; Wagner, Barbara
2019
Linear Rayleigh-Bénard stability of a transversely isotropic fluid. Zbl 1429.92060
Holloway, C. R.; Smith, D. J.; Dyson, R. J.
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
2018
Symmetry-invariant conservation laws of partial differential equations. Zbl 1391.35021
Anco, Stephen C.; Kara, Abdul H.
2018
Thermodynamically consistent Navier-Stokes-Cahn-Hilliard models with mass transfer and chemotaxis. Zbl 1397.92100
Lam, Kei Fong; Wu, Hao
2018
Shilnikov chaos, Filippov sliding and boundary equilibrium bifurcations. Zbl 1412.37054
Glendinning, P. A.
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.
2018
A backward Monte Carlo approach to exotic option pricing. Zbl 1401.91552
Bormetti, G.; Callegaro, G.; Livieri, G.; Pallavicini, A.
2018
Global solvability and explicit bounds for non-local adhesion models. Zbl 1406.35430
Hillen, T.; Painter, K. J.; Winkler, M.
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.
2018
Non-smooth homoclinic bifurcation in a conceptual climate model. Zbl 1400.86005
Leifeld, Julie
2018
On isotropic cloaking and interior transmission eigenvalue problems. Zbl 1391.35133
Ji, Xia; Liu, Hongyu
2018
Ambartsoumian, Gaik; Gouia-Zarrad, Rim; Krishnan, Venkateswaran P.; Roy, Souvik
2018
Networks of piecewise linear neural mass models. Zbl 1401.92008
Coombes, S.; Lai, Y. M.; Şayli, M.; Thul, R.
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.
2018
Simulating surfactant spreading: influence of a physically motivated equation of state. Zbl 1391.76056
Sinclair, Dina; Levy, Rachel; Daniels, Karen E.
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
2018
Invasion moving boundary problem for a biofilm reactor model. Zbl 1407.92139
D&rsquo;Acunto, B.; Frunzo, L.; Luongo, V.; Mattei, M. R.
2018
Pricing American call options under a hard-to-borrow stock model. Zbl 1401.91537
Ma, Guiyuan; Zhu, Song-Ping
2018
Singular perturbations in noisy dynamical systems. Zbl 1394.37083
Matkowsky, B. J.
2018
Properties of the chemostat model with aggregated biomass. Zbl 1407.92148
Rapaport, Alain
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.
2018
A variational inequality arising from optimal exercise perpetual executive stock options. Zbl 1401.91534
Lai, Xin; Chen, Xinfu; Qin, Cong; Yu, Wanghui
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.
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.
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
2018
Zeno breaking, the contact effect and sensitive behaviour in piecewise-linear systems. Zbl 1401.92084
Edwards, R.
2018
Non-autonomous higher-order Moreau’s sweeping process: well-posedness, stability and Zeno trajectories. Zbl 1432.34026
Brogliato, Bernard
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.
2018
Asymptotic analysis of the attractors in two-dimensional Kolmogorov flow. Zbl 1391.76166
Smith, W. R.; Wissink, J. G.
2018
A multi-species chemotaxis system: Lyapunov functionals, duality, critical mass. Zbl 1395.92022
Kavallaris, N. I.; Ricciardi, T.; Zecca, G.
2018
Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1375.92011
Garcke, Harald; Lam, Kei Fong
2017
Stable spike clusters for the one-dimensional Gierer-Meinhardt system. Zbl 1386.35165
Wei, Juncheng; Winter, Matthias
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.
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
2017
A new analytical approach to consistency and overfitting in regularized empirical risk minimization. Zbl 1383.49029
García Trillos, Nicolás; Murray, Ryan
2017
A meeting point of entropy and bifurcations in cross-diffusion herding. Zbl 1386.35162
Jüngel, Ansgar; Kuehn, Christian; Trussardi, Lara
2017
Non-local Cahn-Hilliard equations with fractional dynamic boundary conditions. Zbl 1382.82035
Gal, Ciprian G.
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.
2017
Sampling time-frequency localized functions and constructing localized time-frequency frames. Zbl 1386.94041
Velasco, G. A. M.; Dörfler, M.
2017
A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints. Zbl 1386.74106
Scala, Riccardo; Schimperna, Giulio
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&rsquo;Dea, R. D.
2017
Derivation and solution of effective medium equations for bulk heterojunction organic solar cells. Zbl 1380.82057
Richardson, G.; Please, C. P.; Styles, V.
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.
2017
Non-local effects in an integro-PDE model from population genetics. Zbl 1390.92090
Li, F.; Nakashima, K.; Ni, W.-M.
2017
Well-posedness of a diffuse-interface model for two-phase incompressible flows with thermo-induced Marangoni effect. Zbl 1386.35360
Wu, Hao
2017
Evolution of interfaces for the non-linear parabolic $$p$$-Laplacian type reaction-diffusion equations. Zbl 1386.35196
Abdulla, Ugur G.; Jeli, Roqia
2017
Asymptotic behaviour of solutions of free boundary problems for Fisher-KPP equation. Zbl 1375.35041
Cai, Jingjing; Gu, Hong
2017
A note on waveless subcritical flow past symmetric bottom topography. Zbl 1386.76035
Holmes, R. J.; Hocking, G. C.
2017
Dynamics of screw dislocations: a generalised minimising-movements scheme approach. Zbl 1386.82069
Bonaschi, Giovanni A.; Van Meurs, Patrick; Morandotti, Marco
2017
The interface dynamics of a surfactant drop on a thin viscous film. Zbl 1375.35368
Chugunova, Marina; King, John R.; Taranets, Roman M.
2017
Hybrid PDE solver for data-driven problems and modern branching. Zbl 1387.65008
Bernal, Francisco; dos Reis, Gonçalo; Smith, Greig
2017
On the IAA version of the Doi-edwards model versus the K-BKZ rheological model for polymer fluids: a global existence result for shear flows with small initial data. Zbl 1386.76013
Ciuperca, Ionel Sorin; Heibig, Arnaud; Palade, Liviu Iulian
2017
Homogenization of composite electrets. Zbl 1386.78008
2017
Introduction: Big data and partial differential equations. Zbl 1386.35008
2017
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### Cited by 7,670 Authors

 63 Wei, Juncheng 49 Ward, Michael J. 45 Sofonea, Mircea 40 Mu, Chunlai 38 Garcke, Harald 36 Kara, Abdul Hamid 35 Migórski, Stanisław 33 Gandarias Núñez, Maria Luz 33 Winkler, Michael 31 Bruzón, Maria Santos 31 Khalique, Chaudry Masood 31 King, John Robert 25 Volpert, Vitaly A. 23 Rocca, Elisabetta 22 Kolokolnikov, Theodore 22 Nürnberg, Robert 21 Galaktionov, Victor Aleksandrovich 21 Shillor, Meir 20 Carrillo de la Plata, José Antonio 20 Chen, Xinfu 20 Popovych, Roman O. 20 Vazquez, Juan Luis 19 Anco, Stephen C. 19 Li, Wan-Tong 19 Qu, Changzheng 19 Vanden-Broeck, Jean-Marc 19 Winter, Matthias 18 Ammari, Habib M. 18 Cheviakov, Alexei F. 18 Dutykh, Denys 18 Giné, Jaume 18 Zheng, Jiashan 17 Byrne, Helen Mary 17 Clarkson, Peter A. 17 Friedman, Avner 17 Llibre, Jaume 17 Pop, Iuliu Sorin 17 Sophocleous, Christodoulos 17 Wang, Liangchen 16 Chen, Wenbin 16 Kim, Junseok 16 Mahomed, Fazal M. 16 McCue, Scott William 15 Bluman, George W. 15 Colli, Pierluigi 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 Freire, Igor Leite 14 Jin, Hai-Yang 14 Münch, Arnaud 14 Rossi, Riccarda 14 van Brunt, Bruce 14 Wang, Cheng 14 Zheng, Pan 13 Barrett, John W. 13 Chaplain, Mark A. J. 13 Cui, Shangbin 13 Elliott, Charles M. 13 Hintermüller, Michael 13 Kang, Hyeonbae 13 Lam, Kei Fong 13 Painter, Kevin J. 13 Pulch, Roland 13 Walker, Christoph 13 Zhang, Hongqing 12 Cordoba, Diego 12 Fan, Jishan 12 Guo, Zongming 12 Haltmeier, Markus 12 Kalliadasis, Serafim 12 Miranville, Alain M. 12 Ruan, Shigui 12 Scherzer, Otmar 12 Shen, Wenxian 12 Wang, Zhian 12 Yaşar, Emrullah 12 Yousept, Irwin 12 Zhang, Mingji 12 Zhang, Zhiyong 11 Doelman, Arjen 11 Garrido, Tamara Maria 11 Gianni, Roberto 11 Iserles, Arieh 11 Ivanova, Nataliya M. 11 Jüngel, Ansgar 11 Lindsay, Alan E. 11 Liu, Chun 11 Lowengrub, John Samuel 11 Matioc, Bogdan-Vasile ...and 7,570 more Authors
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### Cited in 571 Journals

 329 Journal of Mathematical Analysis and Applications 258 Journal of Differential Equations 185 Applied Mathematics and Computation 161 Journal of Fluid Mechanics 157 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 145 Physica D 136 European Journal of Applied Mathematics 135 Journal of Computational Physics 119 Nonlinear Analysis. Real World Applications 104 Journal of Computational and Applied Mathematics 103 Computers & Mathematics with Applications 102 Archive for Rational Mechanics and Analysis 86 Applied Mathematics Letters 85 Journal of Engineering Mathematics 85 Discrete and Continuous Dynamical Systems. Series B 81 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 73 ZAMP. Zeitschrift für angewandte Mathematik und Physik 72 Journal of Mathematical Physics 72 SIAM Journal on Applied Mathematics 69 Discrete and Continuous Dynamical Systems 68 Mathematical Methods in the Applied Sciences 62 Journal of Mathematical Biology 62 Communications in Nonlinear Science and Numerical Simulation 61 Calculus of Variations and Partial Differential Equations 60 SIAM Journal on Mathematical Analysis 59 Applicable Analysis 58 Physics of Fluids 57 Chaos, Solitons and Fractals 50 Mathematical and Computer Modelling 49 Journal of Nonlinear Science 49 Journal of Mathematical Sciences (New York) 47 Nonlinearity 47 Journal of Scientific Computing 45 Computer Methods in Applied Mechanics and Engineering 45 Journal of Dynamics and Differential Equations 45 SIAM Journal on Applied Dynamical Systems 44 Applied Numerical Mathematics 44 Applied Mathematical Modelling 43 Inverse Problems 40 Bulletin of Mathematical Biology 40 Communications in Partial Differential Equations 40 Discrete and Continuous Dynamical Systems. Series S 38 Journal de Mathématiques Pures et Appliquées. Neuvième Série 38 Journal of Theoretical Biology 37 Acta Applicandae Mathematicae 36 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 34 Applied Mathematics and Optimization 33 Numerische Mathematik 32 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 28 NoDEA. Nonlinear Differential Equations and Applications 28 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 27 Wave Motion 26 Mathematics and Computers in Simulation 26 Abstract and Applied Analysis 26 Comptes Rendus. Mathématique. Académie des Sciences, Paris 25 Japan Journal of Industrial and Applied Mathematics 25 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 25 Mathematical Problems in Engineering 25 European Journal of Mechanics. B. Fluids 24 Physics Letters. A 23 Communications in Mathematical Physics 23 Mathematics of Computation 23 SIAM Journal on Imaging Sciences 22 Advances in Difference Equations 21 Quarterly of Applied Mathematics 21 International Journal of Computer Mathematics 21 Nonlinear Dynamics 21 Communications in Computational Physics 21 Mathematical Modelling of Natural Phenomena 20 Computer Physics Communications 19 Chaos 19 Boundary Value Problems 19 Inverse Problems in Science and Engineering 19 Inverse Problems and Imaging 19 Nonlinear Analysis. Theory, Methods & Applications 18 SIAM Journal on Numerical Analysis 18 Numerical Methods for Partial Differential Equations 18 SIAM Journal on Scientific Computing 18 The ANZIAM Journal 18 Journal of Nonlinear Mathematical Physics 18 Journal of Evolution Equations 18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 17 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 17 Multiscale Modeling & Simulation 17 Science China. Mathematics 16 Journal of Statistical Physics 16 Journal of Functional Analysis 16 Journal of Symbolic Computation 16 Continuum Mechanics and Thermodynamics 15 Communications on Pure and Applied Mathematics 15 Proceedings of the American Mathematical Society 15 Journal of Inverse and Ill-Posed Problems 14 Theoretical and Mathematical Physics 14 Advances in Mathematics 14 Numerical Algorithms 14 Computational and Applied Mathematics ...and 471 more Journals
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### Cited in 59 Fields

 4,041 Partial differential equations (35-XX) 1,492 Fluid mechanics (76-XX) 1,178 Numerical analysis (65-XX) 1,066 Biology and other natural sciences (92-XX) 686 Mechanics of deformable solids (74-XX) 650 Ordinary differential equations (34-XX) 461 Calculus of variations and optimal control; optimization (49-XX) 405 Statistical mechanics, structure of matter (82-XX) 402 Dynamical systems and ergodic theory (37-XX) 289 Classical thermodynamics, heat transfer (80-XX) 281 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 246 Optics, electromagnetic theory (78-XX) 235 Probability theory and stochastic processes (60-XX) 199 Operator theory (47-XX) 178 Global analysis, analysis on manifolds (58-XX) 140 Integral equations (45-XX) 139 Computer science (68-XX) 133 Systems theory; control (93-XX) 110 Operations research, mathematical programming (90-XX) 90 Information and communication theory, circuits (94-XX) 80 Mechanics of particles and systems (70-XX) 77 Statistics (62-XX) 76 Geophysics (86-XX) 75 Differential geometry (53-XX) 72 Approximations and expansions (41-XX) 55 Functions of a complex variable (30-XX) 52 Quantum theory (81-XX) 45 Difference and functional equations (39-XX) 45 Functional analysis (46-XX) 42 Real functions (26-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 39 Measure and integration (28-XX) 35 Special functions (33-XX) 35 Integral transforms, operational calculus (44-XX) 33 Topological groups, Lie groups (22-XX) 21 Combinatorics (05-XX) 20 Potential theory (31-XX) 20 Relativity and gravitational theory (83-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) 7 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 Group theory and generalizations (20-XX) 3 Geometry (51-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 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX)