Quadratic spline wavelets with short support satisfying homogeneous boundary conditions

DOI10.1553/etna_vol48s15OpenAlexW2962970920MaRDI QIDQ1744317

Václav Finěk, Dana Černá

Publication date: 23 April 2018

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03643

zbMATH Keywords

condition numberwavelethomogeneous Dirichlet boundary conditionselliptic problemquadratic spline

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) Numerical methods for wavelets (65T60) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (3)

Postprocessing Galerkin method using quadratic spline wavelets and its efficiency ⋮ Wavelet-Galerkin method for second-order integro-differential equations on product domains ⋮ Galerkin method with new quadratic spline wavelets for integral and integro-differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Cubic spline wavelets with short support for fourth-order problems
• Approximate multiplication in adaptive wavelet methods
• Construction of optimally conditioned cubic spline wavelets on the interval
• An adaptive wavelet method for solving high-dimensional elliptic PDEs
• New stable biorthogonal spline-wavelets on the interval
• A sparse Laplacian in tensor product wavelet coordinates
• Spline wavelets on the interval with homogeneous boundary conditions
• Multilevel preconditioning
• Biorthogonal spline wavelets on the interval -- stability and moment conditions
• Biorthogonal multiwavelets on the interval: Cubic Hermite splines
• Adaptive wavelet methods. II: Beyond the elliptic case
• Computational methods for quantitative finance. Finite element methods for derivative pricing
• Cubic spline wavelets with complementary boundary conditions
• Quadratic spline wavelets with short support for fourth-order problems
• Wavelet bases of Hermite cubic splines on the interval
• Riesz bases of wavelets and applications to numerical solutions of elliptic equations
• Fast wavelet transforms and numerical algorithms I
• An optimal adaptive wavelet method without coarsening of the iterands
• Wavelet basis of cubic splines on the hypercube satisfying homogeneous boundary conditions
• Wavelet Methods for Elliptic Partial Differential Equations
• Adaptive wavelet methods for elliptic operator equations: Convergence rates
• WAVELETS ON THE INTERVAL WITH OPTIMAL LOCALIZATION

This page was built for publication: Quadratic spline wavelets with short support satisfying homogeneous boundary conditions