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Approximate Approximations
About this Title
Vladimir Maz$’$ya, Ohio State University, Columbus, OH and Gunther Schmidt, Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany
Publication: Mathematical Surveys and Monographs
Publication Year:
2007; Volume 141
ISBNs: 978-0-8218-4203-4 (print); 978-1-4704-1368-2 (online)
DOI: https://doi.org/10.1090/surv/141
MathSciNet review: MR2331734
MSC: Primary 41A30; Secondary 41A15, 41A55, 46E35, 46N40, 65D05, 65D30, 65T60
ReadershipTable of Contents
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Front/Back Matter
Chapters
- 1. Quasi-interpolation
- 2. Error estimates for quasi-interpolation
- 3. Various basis functions — examples and constructions
- 4. Approximation of integral operators
- 5. Cubature of diffraction, elastic, and hydrodynamic potentials
- 6. Some other cubature problems
- 7. Approximation by Gaussians
- 8. Approximate wavelets
- 9. Cubature over bounded domains
- 10. More general grids
- 11. Scattered data approximate approximations
- 12. Numerical algorithms based upon approximate approximations — linear problems
- 13. Numerical algorithms based upon approximate approximations — non-linear problems