A simultaneous space-time variational formulation of a parabolic evolution problem is solved
with an adaptive wavelet method. This method is shown to converge with the best possible …

Following [Studia Math., 76 (2)(1983), pp. 1–58 and 95–136] by Z. Ciesielski and T. Figiel
and [SIAM J. Math. Anal., 31 (1999), pp. 184–230] by W. Dahmen and R. Schneider, by the …

This paper addresses the solution of parabolic evolution equations simultaneously in space
and time as may be of interest in, for example, optimal control problems constrained by such …

Space-time Petrov-Galerkin discretization of parabolic evolution equations Page 1 Diss.
ETH No. 20842 Stability of space-time Petrov-Galerkin discretizations for parabolic …

The wavelet multiresolution interpolation for continuous functions defined on a finite interval
is developed in this study by using a simple alternative of transformation matrix. The wavelet …

We introduce a multitree-based adaptive wavelet Galerkin algorithm for space-time
discretized linear parabolic partial differential equations, focusing on time-periodic …

This paper presents a novel method based on pulse compression theory to improve the
detection accuracy of light screen array. According to the work principle of light screen array …

Two space-time variational formulations of linear parabolic evolution equations are
considered: one is symmetric and elliptic on the trial space, while the other is not. In each …

The Helmholtz equation is challenging to solve numerically due to the pollution effect, which
often results in a huge ill-conditioned linear system. In this paper, we present a high order …

The adaptive wavelet Galerkin method for solving linear, elliptic operator equations
introduced by Cohen et al.(Math Comp 70: 27–75, 2001) is extended to nonlinear equations …