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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...
On Direct Transformation Approach to Asymptotical
Analytical Solutions of Perturbed Partial Differential Equation
perturbed partial differential equation
asymptotical analytical solution Lie-Bä cklund symmetries
2007/8/15
2006Vol.46No.4pp.587-590DOI:
On Direct Transformation Approach to Asymptotical
Analytical Solutions of Perturbed Partial Differential Equation
LIU Hong-Zhun, PAN Zu-Liang, and LI ...
Extended Mapping Transformation Method and Its Applications to
Nonlinear Partial Differential Equation(s)
nonlinear partial differential equations extended mapping transformation method
exact solutions
2007/8/15
2005Vol.44No.3pp.473-478DOI:
Extended Mapping Transformation Method and Its Applications to
Nonlinear Partial Differential Equation(s)
ZHAO Hong and BAI Cheng-Lin
Physic...