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Top Articles

#TitleJournalYearCitations
1Applications of Lie Groups to Differential EquationsGraduate Texts in Mathematics19862,177
2Applications of Lie Groups to Differential EquationsGraduate Texts in Mathematics19932,051
3Multidimensional nonlinear diffusion arising in population geneticsAdvances in Mathematics19781,556
4Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated ProblemsJournal of Scientific Computing20011,395
5The Hopf Bifurcation and Its ApplicationsApplied Mathematical Sciences (Switzerland)19761,354
6The topology of the regulatory interactions predicts the expression pattern of the segment polarity genes in Drosophila melanogasterJournal of Theoretical Biology2003827
7Nonlinear diffusion in population genetics, combustion, and nerve pulse propagationLecture Notes in Mathematics1975674
8Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact supportPhysical Review E1996596
9Bandit problems1985562
10Diffusion, Self-Diffusion and Cross-DiffusionJournal of Differential Equations1996554
11Amplitude response of coupled oscillatorsPhysica D: Nonlinear Phenomena1990511
12Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave EquationJournal of Differential Equations2000498
13Level Set Methods for Optimization Problems Involving Geometry and ConstraintsJournal of Computational Physics2001458
14Atomic and electronic reconstruction at the van der Waals interface in twisted bilayer grapheneNature Materials2019454
15Removing the stiffness from interfacial flows with surface tensionJournal of Computational Physics1994448
16Sharp global well-posedness for KdV and modified KdV on $\mathbb R$ and $\mathbb T$Journal of the American Mathematical Society2003414
17Bifurcations from an invariant circle for two-parameter families of maps of the plane: A computer-assisted studyCommunications in Mathematical Physics1982395
18The Development of Discontinuous Galerkin MethodsLecture Notes in Computational Science and Engineering2000381
19Bump attractor dynamics in prefrontal cortex explains behavioral precision in spatial working memoryNature Neuroscience2014352
20On spreading speeds and traveling waves for growth and migration models in a periodic habitatJournal of Mathematical Biology2002348
21Finite element exterior calculus: from Hodge theory to numerical stabilityBulletin of the American Mathematical Society2010346
22Triple collision in the collinear three-body problemInventiones Mathematicae1974335
23A new proof of Moser's parabolic harnack inequality using the old ideas of NashArchive for Rational Mechanics and Analysis1986308
24Twistronics: Manipulating the electronic properties of two-dimensional layered structures through their twist anglePhysical Review B2017308
25Spectral Curvature Clustering (SCC)International Journal of Computer Vision2009297
26Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ3Annals of Mathematics2008289
27Analysis of linear determinacy for spread in cooperative modelsJournal of Mathematical Biology2002288
28Digital inpainting based on the Mumford–Shah–Euler image modelEuropean Journal of Applied Mathematics2002287
29Existence of strong solutions for It�'s stochastic equations via approximationsProbability Theory and Related Fields1996279
30Mathematical modeling of tumor-induced angiogenesisJournal of Mathematical Biology2004277
31The porous medium equationLecture Notes in Mathematics1986276
32Moving Coframes: II. Regularization and Theoretical Foundations1999266
33The Genealogy of Samples in Models With SelectionGenetics1997261
34An implicit high-order hybridizable discontinuous Galerkin method for linear convection–diffusion equationsJournal of Computational Physics2009251
35Existence and partial regularity of static liquid crystal configurationsCommunications in Mathematical Physics1986248
36Discontinuous Galerkin methodsZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik2003248
37Conservative multigrid methods for Cahn–Hilliard fluidsJournal of Computational Physics2004248
38Spreading speed and linear determinacy for two-species competition modelsJournal of Mathematical Biology2002247
39Nonlinear simulation of tumor growthJournal of Mathematical Biology2003247
40Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systemsDuke Mathematical Journal2007246
41Analysis of a mathematical model for the growth of tumorsJournal of Mathematical Biology1999243
42State space collapse with application to heavy traffic limits for multiclass queueing networksQueueing Systems1998238
43A locally conservative LDG method for the incompressible Navier-Stokes equationsMathematics of Computation2004233
44Spreading speeds as slowest wave speeds for cooperative systemsMathematical Biosciences2005231
45The construction of special solutions to partial differential equationsPhysics Letters, Section A: General, Atomic and Solid State Physics1986230
46Diffusion vs Cross-Diffusion: An Elliptic ApproachJournal of Differential Equations1999227
47Hough Transform from the Radon TransformIEEE Transactions on Pattern Analysis and Machine Intelligence1981226
48Multi-peakons and a theorem of StieltjesInverse Problems1999223
49Cranks andt-coresInventiones Mathematicae1990218
50Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-setInverse Problems1998214