Wavelet basis of cubic splines on the hypercube satisfying homogeneous boundary conditions

DOI10.1142/S0219691315500149zbMath1333.65146OpenAlexW2111310180MaRDI QIDQ3447576

Václav Finěk, Dana Černá

Publication date: 27 October 2015

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691315500149

zbMATH Keywords

hypercubenumerical exampleGalerkin methodSobolev spacePoisson equationstiffness matrixboundary waveletshomogeneous boundary conditionsmultivariate wavelet basistensor product waveletscubic spline wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

Fast and Slow Boundary Oscillations in a Thin Domain ⋮ Cubic spline wavelets with four vanishing moments on the interval and their applications to option pricing under Kou model ⋮ Postprocessing Galerkin method using quadratic spline wavelets and its efficiency ⋮ Quadratic spline wavelets with short support satisfying homogeneous boundary conditions ⋮ A diagonal preconditioner for singularly perturbed problems ⋮ Sparse wavelet representation of differential operators with piecewise polynomial coefficients ⋮ Wavelet B-Splines Bases on the Interval for Solving Boundary Value Problems

Cites Work

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