Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, com
Local structure-preserving algorithms for partial differential equations
โ Scribed by YuShun Wang; Bin Wang; MengZhao Qin
- Book ID
- 107347776
- Publisher
- SP Science China Press
- Year
- 2008
- Tongue
- English
- Weight
- 398 KB
- Volume
- 51
- Category
- Article
- ISSN
- 1674-7283
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In the introduction we give a short survey on known results concerning local solvability for nonlinear partial differential equations; the next sections will be then devoted to the proof of a new result in the same direction. Specifically we study the semilinear operator \(F(u)=P(D) u+f\left(x, Q_{1
nonlinear evolution, and B is the M ฯซ N dimensional noise term, which is a functional of , and multiplies an A robust semi-implicit central partial difference algorithm for the numerical solution of coupled stochastic parabolic partial differen-N dimensional real or complex Gaussian-distributed stot