Adaptive Multiresolution Collocation Methods for Initial Boundary Value Problems of Nonlinear PDEs

We have designed a cubic spline wavelet-like decomposition for the Sobolev space H2 0(I) where I is a bounded interval. Based on a special point value vanishing property of the wavelet basis functions, a fast discrete wavelet transform (DWT) is constructed. This DWT will map discrete samples of a fu...

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Bibliographic Details
Published in:	SIAM journal on numerical analysis Vol. 33; no. 3; pp. 937 - 970
Main Authors:	Cai, Wei, Wang, Jianzhong
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.06.1996
Subjects:	Aeronautics Approximation Boundary conditions Boundary value problems Coefficients Decomposition Eigenvalues Error rates Exact sciences and technology Interpolation Mathematical functions Mathematics Methods Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Sobolev spaces Textual collocation Wavelet transforms Sobolev space Initial value problem Discrete transformation Adaptive method Multiresolution analysis Partial differential equation Wavelet decomposition Non linear equation Numerical analysis Boundary value problem Wavelet transformation Linear algebra Wavelet base Equation resolution Collocation method
ISSN:	0036-1429, 1095-7170
Online Access:	Get full text
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