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- 2010015151 contributor B11754792.
- 2010015151 contributor B11754793.
- 2010015151 created "2010.".
- 2010015151 date "2010".
- 2010015151 date "2010.".
- 2010015151 dateCopyrighted "2010.".
- 2010015151 description "Includes bibliographical referencs (p. 583-596) and index.".
- 2010015151 description "Machine generated contents note: Preface; Notation; 1. Introduction; 2. Quasi-Monte Carlo integration, discrepancy and reproducing kernel Hilbert spaces; 3. Geometric discrepancy; 4. Nets and sequences; 5. Discrepancy estimates and average type results; 6. Connections to other discrete objects; 7. Duality Theory; 8. Special constructions of digital nets and sequences; 9. Propagation rules for digital nets; 10. Polynomial lattice point sets; 11. Cyclic digital nets and hyperplane nets; 12. Multivariate integration in weighted Sobolev spaces; 13. Randomisation of digital nets; 14. The decay of the Walsh coefficients of smooth functions; 15. Arbitrarily high order of convergence of the worst-case error; 16. Explicit constructions of point sets with best possible order of L2-discrepancy; Appendix A. Walsh functions; Appendix B. Algebraic function fields; References; Index.".
- 2010015151 extent "xvii, 600 p. :".
- 2010015151 identifier "0521191599 (hardback)".
- 2010015151 identifier "9780521191593 (hardback)".
- 2010015151 identifier 9780521191593.jpg.
- 2010015151 issued "2010".
- 2010015151 issued "2010.".
- 2010015151 language "eng".
- 2010015151 publisher "New York, NY : Cambridge University Press,".
- 2010015151 subject "518/.282 22".
- 2010015151 subject "Digital filters (Mathematics)".
- 2010015151 subject "Monte Carlo method.".
- 2010015151 subject "Nets (Mathematics)".
- 2010015151 subject "Numerical integration.".
- 2010015151 subject "QA298 .D53 2010".
- 2010015151 subject "Sequences (Mathematics)".
- 2010015151 tableOfContents "Machine generated contents note: Preface; Notation; 1. Introduction; 2. Quasi-Monte Carlo integration, discrepancy and reproducing kernel Hilbert spaces; 3. Geometric discrepancy; 4. Nets and sequences; 5. Discrepancy estimates and average type results; 6. Connections to other discrete objects; 7. Duality Theory; 8. Special constructions of digital nets and sequences; 9. Propagation rules for digital nets; 10. Polynomial lattice point sets; 11. Cyclic digital nets and hyperplane nets; 12. Multivariate integration in weighted Sobolev spaces; 13. Randomisation of digital nets; 14. The decay of the Walsh coefficients of smooth functions; 15. Arbitrarily high order of convergence of the worst-case error; 16. Explicit constructions of point sets with best possible order of L2-discrepancy; Appendix A. Walsh functions; Appendix B. Algebraic function fields; References; Index.".
- 2010015151 title "Digital nets and sequences : discrepancy and quasi-Monte Carlo integration / Josef Dick, Friedrich Pillichshammer.".
- 2010015151 type "text".
