Spectral Methods Using Multivariate Polynomials on the Unit Ball (Record no. 15537)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 04958cam a2200649Mu 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780429344374 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | FlBoTFG |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220724194246.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 191130s2019 xx o 000 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | OCoLC-P |
| Language of cataloging | eng |
| Transcribing agency | OCoLC-P |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781000725865 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1000725863 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781000725988 |
| Qualifying information | (ePub ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1000725987 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781000725926 |
| Qualifying information | (Mobipocket ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1000725928 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429344374 |
| Qualifying information | (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429344376 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0367345471 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780367345471 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1201/9780429344374 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1129224261 |
| Canceled/invalid control number | (OCoLC)1129166315 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC-P)1129224261 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA374 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 029020 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 041000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 007020 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBKS |
| Source | bicssc |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.353 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Atkinson, Kendall E. |
| 245 10 - TITLE STATEMENT | |
| Title | Spectral Methods Using Multivariate Polynomials on the Unit Ball |
| Medium | [electronic resource]. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Milton : |
| Name of publisher, distributor, etc. | CRC Press LLC, |
| Date of publication, distribution, etc. | 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (275 p.). |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rdacontent |
| 336 ## - CONTENT TYPE | |
| Content type term | still image |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Chapman and Hall/CRC Monographs and Research Notes in Mathematics Ser. |
| 500 ## - GENERAL NOTE | |
| General note | Description based upon print version of record. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover; Half Title; Series Page; Title Page; Copyright Page; Dedication; Contents; Preface; 1. Introduction; 1.1 An illustrative example; 1.2 Transformation of the problem; 1.3 Function spaces; 1.4 Variational reformulation; 1.5 A spectral method; 1.6 A numerical example; 1.7 Exterior problems; 1.7.1 Exterior problems in R3; 2. Multivariate Polynomials; 2.1 Multivariate polynomials; 2.2 Triple recursion relation; 2.3 Rapid evaluation of orthonormal polynomials; 2.3.1 Evaluating derivatives for the planar case; 2.3.2 Evaluating derivatives for the three-dimensional case |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5. Eigenvalue Problems5.1 Numerical solution -- Dirichlet problem; 5.2 Numerical examples -- Dirichlet problem; 5.3 Convergence analysis -- Dirichlet problem; 5.4 Numerical solution -- Neumann problem; 5.4.1 Numerical examples -- Neumann problem; 6. Parabolic Problems; 6.1 Reformulation and numerical approximation; 6.1.1 Implementation; 6.2 Numerical examples; 6.2.1 An example in three dimensions; 6.3 Convergence analysis; 6.3.1 Further comments; 7. Nonlinear Equations; 7.1 A spectral method for the nonlinear Dirichlet problem; 7.2 Numerical examples; 7.2.1 A three-dimensional example |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 7.3 Convergence analysis7.3.1 A nonhomogeneous boundary condition; 7.4 Neumann boundary value problem; 7.4.1 Implementation; 7.4.2 Numerical example; 7.4.3 Handling a nonzero Neumann condition; 8. Nonlinear Neumann Boundary Value Problems; 8.1 The numerical method; 8.1.1 Solving the nonlinear system; 8.2 Numerical examples; 8.2.1 Another planar example; 8.2.2 Two three-dimensional examples; 8.3 Error analysis; 8.3.1 The linear Neumann problem; 8.3.2 The nonlinear Neumann problem; 8.3.3 The error over; 8.3.4 A nonhomogeneous boundary value problem |
| 500 ## - GENERAL NOTE | |
| General note | 8.4 An existence theorem for the three-dimensional Stefan-Boltzmann problem |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial approximations. The method presented is an alternative to finite element and difference methods for regions that are diffeomorphic to the unit disk, in two dimensions, and the unit ball, in three dimensions. The speed of convergence of spectral methods is usually much higher than that of finite element or finite difference methods. Features Introduces the use of multivariate polynomials for the construction and analysis of spectral methods for linear and nonlinear boundary value problems Suitable for researchers and students in numerical analysis of PDEs, along with anyone interested in applying this method to a particular physical problem One of the few texts to address this area using multivariate orthogonal polynomials, rather than tensor products of univariate polynomials. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | OCLC-licensed vendor bibliographic record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differential equations, Partial. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Multivariate analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Polynomials. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS / Probability & Statistics / Multivariate Analysis |
| Source of heading or term | bisacsh |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Chien, David. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Hansen, Olaf. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Read Online |
| Uniform Resource Identifier | <a href="https://www.taylorfrancis.com/books/9780429344374">https://www.taylorfrancis.com/books/9780429344374</a> |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | OCLC metadata license agreement |
| Uniform Resource Identifier | <a href="http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf">http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Koha item type | eBook |
No items available.