The solution of multi-scale partial differential equations using wavelets (original) (raw)

Solution of Multiscale Partial Differential Equations Using Wavelets

Stefan Goedecker

Computers in Physics, 1998

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Linear scaling solution of the Coulomb problem using wavelets

Stefan Goedecker

Solid State Communications, 1998

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The numerical performance of wavelets for PDEs: the multi-scale finite element

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Computational Mechanics, 2000

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Wavelet and Multiscale Methods

Angela Kunoth, Wolfgang Dahmen

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Solution of 1D and 2D Poisson's Equation by Using Wavelet Scaling Functions

Rodrigo Burgos

Engenharia térmica, 2016

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An Investigation of Wavelet Bases for Grid-Based Multi-Scale Simulations

Mark Christon

1999

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Combining multigrid and wavelet ideas to construct more efficient multiscale algorithms for the solution of Poisson's equation

Stefan Goedecker

Eprint Arxiv Physics 0209040, 2002

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An Investigation of Wavelet Bases for Grid-Based Multi-Scale Simulations Final Report

Roy Baty

1998

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Wavelet and multiscale methods for operator equations

Wolfgang Dahmen

Acta Numerica, 1997

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Discretization of the Poisson equation using the interpolating scaling function with applications

Jahrul Alam

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Numerical solutions of multi-dimensional partial differential equations using an adaptive wavelet method

Damrongsak Wirasaet

2007

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Aleksey Kudreyko

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A Wavelet Collocation Method for Solving PDEs

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Beyond Wavelets: Exactness theorems and algorithms for physical calculations

Torkel Engeness

1999

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Wavelets and Their Application: For the Solution of Partial Differential Equations in Physics

Stefan Goedecker

1998

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A Wavelet Collocation Method for the Numerical Solution of Partial Differential Equations

Silvia Bertoluzza

Applied and Computational Harmonic Analysis, 1996

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Solving Maxwell’s equations using interpolating wavelets

Pedro Pinho

2005

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A Wavelet Based Numerical Method for Nonlinear Partial Differential Equations

Uwe Kähler, Paula Cerejeiras

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A Wavelet Method for the Density-Gradient Equation

Alfonso Limon

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Multi Resolution Approximation: An alternative approach to the numerical solution of partial dieren tial equations

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Second-Generation Wavelet Collocation Method for the Solution of Partial Differential Equations

Oleg Vasilyev

Journal of Computational Physics, 2000

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Direct Solution of Differential Equations Using a Wavelet-Based Multiresolution Method

Rodrigo Burgos

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Using wavelets for solving PDEs: an adaptive collocation method

Paulo Cruz

Chemical Engineering Science, 2001

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A fast wavelet-multigrid method to solve elliptic partial differential equations

Nagendrappa Bujurke

Applied Mathematics and Computation, 2007

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A Fast Adaptive Wavelet Collocation Algorithm for Multidimensional PDEs

Oleg Vasilyev

Journal of Computational Physics, 1997

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Wavelet Based Numerical Scheme for Differential Equations

Sangeeta Arora

International Journal of Differential Equations and Applications, 2013

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Wavelet-based spatial and temporal multiscaling: Bridging the atomistic and continuum space and time scales

George Frantziskonis

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