Adaptive wavelet scheme for singularly pertubed boundary value problems

Daniela Bittnerová, Dana Černá, Václav Finěk · AIP conference proceedings · 2012

The paper is concerned with theoretical and computational issues of a numerical resolution of a singularly pertubed boundary value problem. We use a modification of an adaptive wavelet method from [3] with a cubic spline-wavelet basis [2] and efficient matrix-vector multiplication [1]. Theoretical advantages of an adaptive wavelet scheme as well as a numerical example will be presented.

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