The computation of wavelet-Galerkin approximation on a bounded interval. (English) Zbl 0884.76058

Chen, Ming-Quayer; Hwang, Chyi; Shih, Yen-Ping

Int. J. Numer. Methods Eng. 39, No. 17, 2921-2944 (1996).

Summary: This paper describes exact evaluations of various finite integrals whose integrands involve products of Daubechies’ compactly supported wavelets and their derivatives and/or integrals. These finite integrals play an essential role in the wavelet-Galerkin approximation of differential or integral equations on a bounded interval.

MSC:

76M25	Other numerical methods (fluid mechanics) (MSC2010)
65D30	Numerical integration

Keywords:

wavelet orthogonal bases; Burgers’ equation; Daubechies’ compactly supported wavelets; derivatives; integrals

Software:

IMSL Numerical Libraries

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