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...
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 ...
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...
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...
: 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...