# | Title | Journal | Year | Citations |
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1 | Applications of Lie Groups to Differential Equations | Graduate Texts in Mathematics | 1986 | 2,177 |
2 | Applications of Lie Groups to Differential Equations | Graduate Texts in Mathematics | 1993 | 2,051 |
3 | Multidimensional nonlinear diffusion arising in population genetics | Advances in Mathematics | 1978 | 1,556 |
4 | Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems | Journal of Scientific Computing | 2001 | 1,395 |
5 | The Hopf Bifurcation and Its Applications | Applied Mathematical Sciences (Switzerland) | 1976 | 1,354 |
6 | The topology of the regulatory interactions predicts the expression pattern of the segment polarity genes in Drosophila melanogaster | Journal of Theoretical Biology | 2003 | 827 |
7 | Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation | Lecture Notes in Mathematics | 1975 | 674 |
8 | Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support | Physical Review E | 1996 | 596 |
9 | Bandit problems | | 1985 | 562 |
10 | Diffusion, Self-Diffusion and Cross-Diffusion | Journal of Differential Equations | 1996 | 554 |
11 | Amplitude response of coupled oscillators | Physica D: Nonlinear Phenomena | 1990 | 511 |
12 | Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation | Journal of Differential Equations | 2000 | 498 |
13 | Level Set Methods for Optimization Problems Involving Geometry and Constraints | Journal of Computational Physics | 2001 | 458 |
14 | Atomic and electronic reconstruction at the van der Waals interface in twisted bilayer graphene | Nature Materials | 2019 | 454 |
15 | Removing the stiffness from interfacial flows with surface tension | Journal of Computational Physics | 1994 | 448 |
16 | Sharp global well-posedness for KdV and modified KdV on $\mathbb R$ and $\mathbb T$ | Journal of the American Mathematical Society | 2003 | 414 |
17 | Bifurcations from an invariant circle for two-parameter families of maps of the plane: A computer-assisted study | Communications in Mathematical Physics | 1982 | 395 |
18 | The Development of Discontinuous Galerkin Methods | Lecture Notes in Computational Science and Engineering | 2000 | 381 |
19 | Bump attractor dynamics in prefrontal cortex explains behavioral precision in spatial working memory | Nature Neuroscience | 2014 | 352 |
20 | On spreading speeds and traveling waves for growth and migration models in a periodic habitat | Journal of Mathematical Biology | 2002 | 348 |
21 | Finite element exterior calculus: from Hodge theory to numerical stability | Bulletin of the American Mathematical Society | 2010 | 346 |
22 | Triple collision in the collinear three-body problem | Inventiones Mathematicae | 1974 | 335 |
23 | A new proof of Moser's parabolic harnack inequality using the old ideas of Nash | Archive for Rational Mechanics and Analysis | 1986 | 308 |
24 | Twistronics: Manipulating the electronic properties of two-dimensional layered structures through their twist angle | Physical Review B | 2017 | 308 |
25 | Spectral Curvature Clustering (SCC) | International Journal of Computer Vision | 2009 | 297 |
26 | Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ3 | Annals of Mathematics | 2008 | 289 |
27 | Analysis of linear determinacy for spread in cooperative models | Journal of Mathematical Biology | 2002 | 288 |
28 | Digital inpainting based on the Mumford–Shah–Euler image model | European Journal of Applied Mathematics | 2002 | 287 |
29 | Existence of strong solutions for It�'s stochastic equations via approximations | Probability Theory and Related Fields | 1996 | 279 |
30 | Mathematical modeling of tumor-induced angiogenesis | Journal of Mathematical Biology | 2004 | 277 |
31 | The porous medium equation | Lecture Notes in Mathematics | 1986 | 276 |
32 | Moving Coframes: II. Regularization and Theoretical Foundations | | 1999 | 266 |
33 | The Genealogy of Samples in Models With Selection | Genetics | 1997 | 261 |
34 | An implicit high-order hybridizable discontinuous Galerkin method for linear convection–diffusion equations | Journal of Computational Physics | 2009 | 251 |
35 | Existence and partial regularity of static liquid crystal configurations | Communications in Mathematical Physics | 1986 | 248 |
36 | Discontinuous Galerkin methods | ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik | 2003 | 248 |
37 | Conservative multigrid methods for Cahn–Hilliard fluids | Journal of Computational Physics | 2004 | 248 |
38 | Spreading speed and linear determinacy for two-species competition models | Journal of Mathematical Biology | 2002 | 247 |
39 | Nonlinear simulation of tumor growth | Journal of Mathematical Biology | 2003 | 247 |
40 | Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems | Duke Mathematical Journal | 2007 | 246 |
41 | Analysis of a mathematical model for the growth of tumors | Journal of Mathematical Biology | 1999 | 243 |
42 | State space collapse with application to heavy traffic limits for multiclass queueing networks | Queueing Systems | 1998 | 238 |
43 | A locally conservative LDG method for the incompressible Navier-Stokes equations | Mathematics of Computation | 2004 | 233 |
44 | Spreading speeds as slowest wave speeds for cooperative systems | Mathematical Biosciences | 2005 | 231 |
45 | The construction of special solutions to partial differential equations | Physics Letters, Section A: General, Atomic and Solid State Physics | 1986 | 230 |
46 | Diffusion vs Cross-Diffusion: An Elliptic Approach | Journal of Differential Equations | 1999 | 227 |
47 | Hough Transform from the Radon Transform | IEEE Transactions on Pattern Analysis and Machine Intelligence | 1981 | 226 |
48 | Multi-peakons and a theorem of Stieltjes | Inverse Problems | 1999 | 223 |
49 | Cranks andt-cores | Inventiones Mathematicae | 1990 | 218 |
50 | Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set | Inverse Problems | 1998 | 214 |