Add to ORKGWe consider the continuous space-time Galerkin method for the linear second-order wave equation proposed by French and Peterson in 1996. A bottleneck for this approach is how to solve the discrete problems effectively. In this paper, we tackle this bottleneck by essentially employing wavelet bases in space. We show how to decouple the corresponding linear system and we prove that the resulting subsystems can be uniformly preconditioned by simple diagonal preconditioners, leading to efficient iterative solutions
A space-time fully decoupled wavelet integral collocation method (WICM) with high-order accuracy is ...
AbstractWe present a new numerical method for the solution of partial differential equations in nons...
. The relative merits of the wavelet-Galerkin solution of hyperbolic partial differential equations,...
We consider the continuous space-time Galerkin method for the linear second-order wave equation prop...
Abstract. We consider the continuous space-time Galerkin method for the linear second-order wave equ...
Abstract This paper gives a new theoretical analysis of the space-time continuous Galerkin (STCG) me...
AbstractWe use vector-valued multiwavelets on compact sets to develop a Galerkin method for systems ...
For a class of linear parabolic equations we propose a nonadaptive sparse space-time Galerkin least ...
Abstract. The Galerkin method is one of the most used methods for finding numerical solutions of ord...
The Galerkin method is one of the most used methods for finding numerical solutions of ordinary and ...
The objective of this work is to develop a systematic method of implementing the Wavelet-Galerkin me...
The present paper is intended to give a survey of the developments of the wavelet Galerkin boundary ...
The aim of the paper is to examine the wavelet-Galerkin method for the solution of filtering equatio...
Discrete orthogonal wavelets are a family of functions with compact support which form a basis on a ...
The present paper is intended to give a survey of the developments of the wavelet Galerkin boundary ...
A space-time fully decoupled wavelet integral collocation method (WICM) with high-order accuracy is ...
AbstractWe present a new numerical method for the solution of partial differential equations in nons...
. The relative merits of the wavelet-Galerkin solution of hyperbolic partial differential equations,...
We consider the continuous space-time Galerkin method for the linear second-order wave equation prop...
Abstract. We consider the continuous space-time Galerkin method for the linear second-order wave equ...
Abstract This paper gives a new theoretical analysis of the space-time continuous Galerkin (STCG) me...
AbstractWe use vector-valued multiwavelets on compact sets to develop a Galerkin method for systems ...
For a class of linear parabolic equations we propose a nonadaptive sparse space-time Galerkin least ...
Abstract. The Galerkin method is one of the most used methods for finding numerical solutions of ord...
The Galerkin method is one of the most used methods for finding numerical solutions of ordinary and ...
The objective of this work is to develop a systematic method of implementing the Wavelet-Galerkin me...
The present paper is intended to give a survey of the developments of the wavelet Galerkin boundary ...
The aim of the paper is to examine the wavelet-Galerkin method for the solution of filtering equatio...
Discrete orthogonal wavelets are a family of functions with compact support which form a basis on a ...
The present paper is intended to give a survey of the developments of the wavelet Galerkin boundary ...
A space-time fully decoupled wavelet integral collocation method (WICM) with high-order accuracy is ...
AbstractWe present a new numerical method for the solution of partial differential equations in nons...
. The relative merits of the wavelet-Galerkin solution of hyperbolic partial differential equations,...