Institution
Courant Institute of Mathematical Sciences
Education•New York, New York, United States•
About: Courant Institute of Mathematical Sciences is a education organization based out in New York, New York, United States. It is known for research contribution in the topics: Nonlinear system & Boundary value problem. The organization has 2414 authors who have published 7759 publications receiving 439773 citations. The organization is also known as: CIMS & New York University Department of Mathematics.
Topics: Nonlinear system, Boundary value problem, Boundary (topology), Partial differential equation, Upper and lower bounds
Papers published on a yearly basis
Papers
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TL;DR: Modern molecular dynamics methods are reviewed and their application to quantum manybody systems and electronic structure calculations described, and it is shown how modern object oriented programming paradigms can be employed to implement multilevel parallel algorithms in a large computational package rapidly and efficiently.
205 citations
TL;DR: In this paper, the authors derived the fractional generalization of the Ginzburg-Landau equation from the variational Euler-Lagrange equation for fractal media.
Abstract: We derive the fractional generalization of the Ginzburg–Landau equation from the variational Euler–Lagrange equation for fractal media. To describe fractal media we use the fractional integrals considered as approximations of integrals on fractals. Some simple solutions of the Ginzburg–Landau equation for fractal media are considered and different forms of the fractional Ginzburg–Landau equation or nonlinear Schrodinger equation with fractional derivatives are presented. The Agrawal variational principle and its generalization have been applied.
205 citations
TL;DR: It is shown that a minimal edge-coloring of G can be computed in O(E logD time), which follows from an algorithm for finding a matching in a regular bipartite graph in O (E) time.
Abstract: Let $V$, $E$, and $D$ denote the cardinality of the vertex set, the cardinality of the edge set, and the maximum degree of a bipartite multigraph $G$. We show that a minimal edge-coloring of $G$ can be computed in $O(E\log D)$ time.
205 citations
TL;DR: In this paper, the authors discuss the crucial role of the two-dimensional Ising model in stimulating the development of the theory of Toeplitz determinants and their applications.
Abstract: We review some history and some recent results concerning Toeplitz determinants and their applications. We discuss, in particular, the crucial role of the two-dimensional Ising model in stimulating the development of the theory of Toeplitz determinants.
204 citations
TL;DR: A new version of the Lovasz Local lemma is used to prove the existence of Latin transversals in matrices where no symbol appears too often.
204 citations
Authors
Showing all 2441 results
| Name | H-index | Papers | Citations |
|---|---|---|---|
| Xiang Zhang | 154 | 1733 | 117576 |
| Yann LeCun | 121 | 369 | 171211 |
| Benoît Roux | 120 | 493 | 62215 |
| Alan S. Perelson | 118 | 632 | 66767 |
| Thomas J. Spencer | 116 | 531 | 52743 |
| Salvatore Torquato | 104 | 552 | 40208 |
| Joel L. Lebowitz | 101 | 754 | 39713 |
| Bo Huang | 97 | 728 | 40135 |
| Amir Pnueli | 94 | 331 | 43351 |
| Rolf D. Reitz | 93 | 611 | 36618 |
| Michael Q. Zhang | 93 | 378 | 42008 |
| Samuel Karlin | 89 | 396 | 41432 |
| David J. Heeger | 88 | 268 | 38154 |
| Luis A. Caffarelli | 87 | 353 | 32440 |
| Weinan E | 84 | 323 | 22887 |