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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：mcGP: mesh-clustered Gaussian process emulator for partial differential equation systems
mcGP 偏微分方程组 网格聚类 高斯过程 仿真器
2023/4/18
Partial differential equations (PDEs) have become an essential tool for modeling complex physical systems. Such equations are typically solved numerically via mesh-based methods, such as the finite el...
Finite difference approximations for the first-order hyperbolic partial differential equation with point-wise delay
hyperbolic partial differential equation differential difference equation
2011/1/18
Explicit numerical methods based on Lax-Friedrichs and Leap-Frog finite difference approximations are constructed to find the numerical solution of the first-order hyperbolic partial differential equa...
Exact solution of time fractional partial differential equation
Time fractional partial differential equation Laplace transform
2010/9/14
In this paper, a time fractional partial differential equation is considered,where the fractional derivative is defined in the Caputo sense. A function transform and Laplace transform method along wit...