On the spline-based wavelet differentiation matrix

DOI10.1016/0168-9274(95)00005-FzbMath0827.65027OpenAlexW2063046564MaRDI QIDQ1891031

Leland Jameson

Publication date: 28 May 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00005-f

zbMATH Keywords

waveletssuperconvergencecompact finite difference schemesdifferentiation matrixspline basis

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical differentiation (65D25)

Related Items

Wavelet-based Numerical Methods ⋮ A fast adaptive wavelet collocation algorithm for multidimensional PDEs ⋮ An adaptive spline wavelet ADI(SW-ADI) method for two-dimensional reaction-diffusion equations ⋮ Biorthogonal wavelets adapted to integral operators and their applications ⋮ A construction method for data adapted wavelet ⋮ On a wavelet-based method for the numerical simulation of wave propagation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the wavelet based differentiation matrix
• A family of polynomial spline wavelet transforms
• Orthonormal bases of compactly supported wavelets
• The Relative Efficiency of Finite Difference and Finite Element Methods. I: Hyperbolic Problems and Splines
• On the Superconvergence of Galerkin Methods for Hyperbolic IBVP
• The Relation Between the Galerkin and Collocation Methods Using Smooth Splines