Multiresolution exponential B-splines and singularly perturbed boundary problem

DOI10.1007/s11075-008-9171-1zbMath1139.65053OpenAlexW2087386722MaRDI QIDQ2481414

Desanka Radunović

Publication date: 9 April 2008

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9171-1

zbMATH Keywords

waveletsalgorithmnumerical examplesboundary value problemsmultiresolutionexponential B-splinessingularly perturbationfitted mesh methods

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

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Cites Work

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• Uniform trigonometric polynomial B-spline curves
• A class of simple exponential B-splines and their application to numerical solution to singular perturbation problems
• A practical guide to splines
• The wavelet element method. I: Construction and analysis
• On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases
• A wavelet-Galerkin method for simulating the Doi model with orientation-dependent rotational diffusivity.
• A new wavelet preconditioner for finite difference operators
• A contribution to wavelet-bases subgrid modeling
• Adaptive wavelet methods. II: Beyond the elliptic case
• Adaptive wavelet methods for elliptic operator equations with nonlinear terms
• Application of generalized wavelets: An adaptive multiresolution scheme
• A wavelet collocation method for the numerical solution of partial differential equations
• The wavelet element method. II: Realization and additional features in 2D and 3D
• Ten Lectures on Wavelets
• Wavelets
• Generalized Daubechies Wavelet Families
• From differential equations to the construction of new wavelet-like bases
• A Uniformly Convergent Finite Difference Scheme for a Singularly Perturbed Semilinear Equation
• Wavelet theory demystified
• Cardinal exponential splines: part I - theory and filtering algorithms
• Cardinal exponential splines: part II - think analog, act digital
• Second-generation wavelet collocation method for the solution of partial differential equations