1993
Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations
Alpert B, Beylkin G, Coifman R, Rokhlin V. Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations. SIAM Journal On Scientific Computing 1993, 14: 159-184. DOI: 10.1137/0914010.Peer-Reviewed Original ResearchIntegral equationsSecond kind integral equationsKind integral equationsWavelet-like basisVector space basisIntegral operatorsNumerical solutionNumber of pointsFinite numberFast solutionSparse matricesNumerical resultsDiscretizationEquationsOperatorsSparse representationSingularitySolutionGeneralization
1990
Wavelets for the Fast Solution of Second-Kind Integral Equations
Alpert B, Beylkin G, Coifman R, Rokhlin V. Wavelets for the Fast Solution of Second-Kind Integral Equations. 1990 DOI: 10.21236/ada233650.Peer-Reviewed Original ResearchIntegral equationsSecond kind integral equationsKind integral equationsNon-oscillatory kernelsVector space basisIntegral operatorsNumerical solutionNumber of pointsFinite numberFast solutionSparse matricesNumerical resultsDiscretizationEquationsOperatorsSparse representationSingularitySolutionGeneralizationKernel