Multiwavelet approximation methods for pseudodifferential equations on curves. Stability and convergence analysis
The authors develop stability and convergence analysis of Galerkin-Petrov schemes for solving pseudo differential equations on smooth curves. Particular examples are given by trial spaces generated by biorthogonal wavelets or by splines with multiple knots. The main result is to demonstrate stability and convergence, in particular optimal convergence rates for approximate solutions in a range of Sobolev spaces.
scientific article; zbMATH DE number 1279280