Cargando…

Discrete variational derivative method: a structure-preserving numerical method for partial differential equations

Nonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena. Unlike Ordinary Differential Equations, PDEs can be used to effectively model multidimensional systems. The methods put forward in Discrete Variational Derivative Method conce...

Descripción completa

Detalles Bibliográficos
Autores principales: Furihata, Daisuke, Matsuo, Takayasu
Lenguaje:eng
Publicado: CRC Press 2010
Materias:
Acceso en línea:http://cds.cern.ch/record/1999793
Descripción
Sumario:Nonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena. Unlike Ordinary Differential Equations, PDEs can be used to effectively model multidimensional systems. The methods put forward in Discrete Variational Derivative Method concentrate on a new class of ""structure-preserving numerical equations"" which improves the qualitative behaviour of the PDE solutions and allows for stable computing. The authors have also taken care to present their methods in an accessible manner, which means that the book will be useful to engineer