Harmonic wavelet analysis – connection coefficients for nonlinear PDE. (English) Zbl 1240.42159

Bibic, Simona Mihaela

Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 73, No. 1, 27-36 (2011).

Summary: Harmonic wavelets were recently applied to the solution of evolution problems and, more generally, to describe operators. In this paper their differential properties are studied and the problem of the computation of connection coefficients for nonlinear problems is analyzed .

MSC:

42C40	Nontrigonometric harmonic analysis involving wavelets and other special systems
35A35	Theoretical approximation in context of PDEs
65M60	Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65T60	Numerical methods for wavelets

Keywords:

harmonic wavelets; connection coefficients; PDE