Sciweavers

12 search results - page 1 / 3
» Operator splitting for the KdV equation
Sort
View
MOC
2011
12 years 11 months ago
Operator splitting for the KdV equation
We provide a new analytical approach to operator splitting for equations of the type ut = Au + B(u) where A is a linear operator and B is quadratic. A particular example is the Kor...
Helge Holden, Kenneth H. Karlsen, Nils Henrik Rise...
ENTCS
2002
110views more  ENTCS 2002»
13 years 4 months ago
The Solution Operator of the Korteweg-de Vries Equation is Computable
The initial value problem of the Korteweg-de Vries (KdV) equation posted on the real line R: ut + uux + uxxx = 0, x R, t R u(x, 0) = (x), defines a nonlinear map KR from the ...
Klaus Weihrauch, Ning Zhong 0002
FOCM
2011
90views more  FOCM 2011»
12 years 8 months ago
Hamiltonian Interpolation of Splitting Approximations for Nonlinear PDEs
We consider a wide class of semi linear Hamiltonian partial differential equations and their approximation by time splitting methods. We assume that the nonlinearity is polynomia...
Erwan Faou, Benoît Grebert
JCIT
2008
99views more  JCIT 2008»
13 years 4 months ago
Iterative Operator-Splitting Methods for Stiff Problems in Complex Applications
In this paper we deal with the Landau-LifshitzGilbert equation which describes dynamics of ferromagnetism. Based on the strong nonlinearities a stabilised discretisation method is...
Jürgen Geiser
AMC
2010
175views more  AMC 2010»
13 years 5 months ago
An inexact parallel splitting augmented Lagrangian method for large system of linear equations
: Parallel iterative methods are powerful tool for solving large system of linear equations (LEs). The existing parallel computing research results are focussed mainly on sparse sy...
Zheng Peng, DongHua Wu