Runge-Walsh-wavelet approximation for the Helmholtz equation

DOI10.1006/jmaa.1999.6406zbMath0940.35062OpenAlexW2064830374MaRDI QIDQ1304645

Willi Freeden, Frank Schneider

Publication date: 22 September 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6406

zbMATH Keywords

Helmholtz equationboundary-value problemsRunge-Walsh approximationpyramid schemescale continuous and discrete metaharmonic wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

On the Solution of the Oblique Derivative Problem by Constructive Runge-Walsh Concepts ⋮ The reference figure of the rotating Earth in geometry and gravity space and an attempt to generalize the celebrated Runge-Walsh approximation theorem for irregular surfaces ⋮ Gauss as Scientific Mediator Between Mathematics and Geodesy from the Past to the Present ⋮ About the Importance of the Runge–Walsh Concept for Gravitational Field Determination

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