Conferences  >  Mathematics  >  Calculus, Differential Equations and Integration  >  United States

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1
Nonlocality: Challenges in Modeling and Simulation
15 Apr 2024 - 19 Apr 2024 • Providence, RI, United States
Organizer:
Institute for Computational and Experimental Research in Mathematics (ICERM)
Abstract:
This workshop focuses on the modeling, analysis, approximation, and applications of nonlocal equations, which have raised new challenges to mathematical modeling, numerical analysis, and their computational implementation. Recent applications include, but are not limited to: heat and mass diffusion, mechanics, pattern formation, image processing, self-organized dynamics, and population dispersal. Invited speakers and participants will bring expertise from a wide range of related fields, including mathematical and numerical analysis of nonlocal and fractional equations, numerical methods and discretization schemes, multiscale modeling, adaptivity, machine learning, software implementation, peridynamics modeling of material failure and damage, nonlocal and fractional modeling of anomalous heat and mass diffusion, and several engineering and scientific applications in which nonlocal modeling is useful.
Contact:
Email: info@icerm.brown.edu
Event listing ID:
1591308
2
NWCS24 — SIAM Conference on Nonlinear Waves and Coherent Structures
24 Jun 2024 - 27 Jun 2024 • Baltimore, MD, United States
Organizer:
Society for Industrial and Applied Mathematics (SIAM)
Event listing ID:
1570392
3
AIM Workshop: PDE methods in complex geometry
26 Aug 2024 - 30 Aug 2024 • American Institute of Mathematics, Pasadena, California, United States
Organizer:
American Institute of Mathematics, Pasadena, California
Abstract:
This workshop, sponsored by AIM and the NSF, will be devoted to exploring the geometric and analytic regularity of fully nonlinear partial differential equations (PDE) arising from geometry and physics. Ever since Yau's solution to the Calabi conjecture, geometric PDEs, such as the complex Monge-Ampère equations, have been extensively studied from both the geometric and analytic perspective. These equations have profound applications across many areas of mathematics, including differential geometry, metric geometry and algebraic geometry. Notable advancements have been made in this field, including the sharp L∞ estimates of Kolodziej, and Hölder continuity for complex Monge-Ampère equations. The goal is to bring together experts in this field to explore open problems and develop new techniques which are expected to yield solutions to some of the long-standing questions.
Event listing ID:
1597046
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Last updated: 2 January 2024