Bounds for the solution of hyperbolic problems
Copyright policy )Bounds for the solution of hyperbolic problems
For the equation \(u_{xx}=r(x,y,u,u_ x,u_ y)\), \((x,y)\subseteq {\mathbb{R}}^ 2\), \(u_{| \hat B}=g(x,y)\), \(\hat B\subseteq \partial B\), a method is described for computing guaranteed error bounds for the solution. The basic concepts are: modified fixed point theorems and approximated operators. The presented method allows an a posteriori error estimation automatically. Some numerical examples are included.
approximated operators, numerical examples, Error bounds for initial value and initial-boundary value problems involving PDEs, Goursat problems, Darboux problem, guaranteed error bounds, a posteriori error estimation, Second-order nonlinear hyperbolic equations
approximated operators, numerical examples, Error bounds for initial value and initial-boundary value problems involving PDEs, Goursat problems, Darboux problem, guaranteed error bounds, a posteriori error estimation, Second-order nonlinear hyperbolic equations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).22 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!