Titlebook: Scientific Computing with Ordinary Differential Equations; Peter Deuflhard,Folkmar Bornemann Textbook 2002 Springer Science+Business Media

N斯巴达人

Scientific Computing with Ordinary Differential Equations

英寸

Existence and Uniqueness for Initial Value Problems,ique solution. We shall encounter several such cases in this chapter. Beyond this, most efficient and reliable algorithms turn out to contain in their essence the structure of a corresponding uniqueness theorem. This phenomenon is found already in the relatively simple example of the solution of lin

Armory

苦恼

CURT

生气地

famine

Adaptive Control of One-Step Methods,.by a mesh function .Δ, for any . mesh Δ = {., .,…, .}, . < . < … < . . .. For methods of order . we obtained a characterization of the discretization error in the form.where τΔ denotes the maximal step size of the mesh Δ. But this information alone does not permit us to specify a priori a suitable

blithe

preservative

CLASH

Adaptive Control of One-Step Methods,owever, it cannot possibly be expected that such equidistant meshes will do justice to the multitude of different problems. Accordingly, in this chapter we address the question of how to construct efficiently a . mesh.