Adaptive first integral preserving methods for PDEs

A General Framework for Deriving Integral Preserving Numerical Methods for PDEs

A general procedure for constructing conservative numerical integrators for time dependent partial differential equations is presented. In particular, linearly implicit methods preserving a time discretised version of the invariant is developed for systems of partial differential equations with polynomial nonlinearities. The framework is rather general and allows for an arbitrary number of depe...

Adaptive numerical methods for PDEs 1 Ronald A . DeVore

Résumé. Les méthodes adaptatives sont d’usage courant pour la résolution numérique des EDP. Il n’existe cependant pas de théorie bien établie analysant leur performance et justifiant leur utilisation. L’objet de cet exposé est de présenter les premiers éléments d’une telle théorie, dont les pierres angulaires sont l’approximation non-linéaire et les théorèmes de régularité pour les EDP. Une mét...

Adaptive tensor product wavelet methods for solving PDEs

APPLICATION OF FUZZY EXPANSION METHODS FOR SOLVING FUZZY FREDHOLM- VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND

In this paper we intend to offer new numerical methods to solvethe fuzzy Fredholm- Volterra integral equations of the firstkind $(FVFIE-1)$. Some examples are investigated to verify convergence results and to illustrate the efficiently of the methods.  

Numerical Methods for PDEs