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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Splitting Numerical Schemes for Two-dimensional Maxwell-Debye Equations
二维 麦克斯韦-德拜方程组 拆分数值方案
2023/4/27
Geometric numerical schemes for the KdV equation
KdV equation symplectic scheme multi-symplectic scheme solitonic gas wave turbulence
2012/5/29
Geometric discretizations that preserve certain Hamiltonian structures at the discrete level has been proven to enhance the accuracy of numerical schemes. In particular, numerous symplectic and multi-...
Comparison of third order L_0-stable numerical schemes for the two–Dimensional homogeneous diffusion problem subject to specification of mass
Lo − stable Parabolic Problems
2010/9/21
This paper presents a numerical comparison of third order Lo − stable numerical schemes for the two-dimensional parabolic partial differential equations subject to nonlocal boundary conditions. ...
Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems
geometric numerical integration long time numerical evolution
2010/12/15
We present a class of non-standard numerical schemes which are modifications of the discrete gradient method. They preserve the energy integral exactly (up to the round-off error). The considered clas...
On a class of semi-elliptic diffusion models. Part I: a constructive analytical approach for global existence, densities, and numerical schemes (with applications to the Libor market model)
Degenerate parabolic equations financial derivatives sen-sitivities Monte-Carlo methods
2010/4/27
Computational parsimony makes reduced factor Libor market models popular among practioners. However, value functions and sensitivities of such models are described by degenerate parabolic (i.e. semiel...