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
More filters
TL;DR: An automated clustering approach and associated software package that has the potential to enable reproducible and automated spike sorting of larger scale recordings than is currently possible and has accuracy comparable to or exceeding that achieved using manual or semi-manual techniques.
349 citations
TL;DR: In this paper, the authors considered the magnetoelectric effect arising in a multilayer composite consisting of bonded layers of a piezoelectoric ceramic and a magnetostrictive material operating in the linear regime.
Abstract: We consider the magnetoelectric effect arising in a multilayer composite consisting of bonded layers of a piezoelectric ceramic and a magnetostrictive material operating in the linear regime. Magnetoelectric coupling arises from the mechanical contacts between layers and the elec tric/mechanical and magnetic/mechanical coupling in each phase. Calculations of the magnetoelec tric coefficient α* as well as of the figures of merit kme and kme,cl are presented. These calculations fully take into account the electric, magnetic and mechanical mismatch in the material properties, as well as the volume-fractions of both materials. We derive the optimal volume fraction fcrit1 of piezoelectric material needed to maximize the figure of merit k fme or kme,cl for the composite and give criteria for optimizing the magnetoelectric effect in terms of the choice of the individual constit uents. We computed the figures of merit of a variety of piezoelectric/magnetostrictive combinations. The combinations CoFe2O4/PZT5H (kme...
348 citations
TL;DR: On considere le probleme de Dirichlet pour des equations elliptiques non lineaires d'ordre 2 pour une fonction reelle dans un domaine borne Ω de R n a frontiere lisse ∂ Ω as discussed by the authors.
Abstract: On considere le probleme de Dirichlet pour des equations elliptiques non lineaires d'ordre 2 pour une fonction reelle dans un domaine borne Ω de R n a frontiere lisse ∂Ω
348 citations
TL;DR: This paper investigates the frequency control and synchronization of these model neurons when coupled by excitatory amino-acid-mediated synapses and controlled by convergent synaptic inputs modeled as tonic excitation, and indicates that cellular heterogeneity is functionally advantageous.
Abstract: We have proposed models for the ionic basis of oscillatory bursting of respiratory pacemaker neurons in the pre-Botzinger complex. In this paper, we investigate the frequency control and synchroniz...
345 citations
TL;DR: The results suggest that sound texture perception is mediated by relatively simple statistics of early auditory representations, presumably computed by downstream neural populations, and the synthesis methodology offers a powerful tool for their further investigation.
342 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 |