Numerical analysis of partial differential equations / (Record no. 14323)
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| 000 -LEADER | |
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| fixed length control field | 08361cam a22007094a 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn712125079 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20171224115031.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 110516s2011 njua b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2011013570 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Language of cataloging | eng |
| Transcribing agency | DLC |
| Modifying agency | YDX |
| -- | BTCTA |
| -- | YDXCP |
| -- | BWX |
| -- | XII |
| -- | CDX |
| -- | IG# |
| -- | DEBBG |
| -- | BDX |
| -- | OCLCF |
| -- | OCLCQ |
| -- | DXU |
| -- | OCLCQ |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780470647288 |
| Qualifying information | (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0470647280 |
| Qualifying information | (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118111109 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118111109 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118111116 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118111117 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118111130 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1118111133 |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000047031659 |
| 029 1# - (OCLC) | |
| OCLC library identifier | CHBIS |
| System control number | 009756480 |
| 029 1# - (OCLC) | |
| OCLC library identifier | CHDSB |
| System control number | 005948188 |
| 029 1# - (OCLC) | |
| OCLC library identifier | CHVBK |
| System control number | 123432669 |
| 029 1# - (OCLC) | |
| OCLC library identifier | CHVBK |
| System control number | 197627552 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV039700484 |
| 029 1# - (OCLC) | |
| OCLC library identifier | HEBIS |
| System control number | 268594643 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)712125079 |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA377 |
| Item number | .L84 2011 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 518/.64 |
| Edition number | 23 |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | MAT034000 |
| Source of number | bisacsh |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | SK 540 |
| Source of number | rvk |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | SK 520 |
| Source of number | rvk |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Lui, S. H. |
| Fuller form of name | (Shaun H.), |
| Dates associated with a name | 1961- |
| 245 10 - TITLE STATEMENT | |
| Title | Numerical analysis of partial differential equations / |
| Statement of responsibility, etc | S.H. Lui. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Hoboken, N.J. : |
| Name of publisher, distributor, etc | Wiley, |
| Date of publication, distribution, etc | �2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiii, 487 pages : |
| Other physical details | illustrations ; |
| Dimensions | 27 cm. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | unmediated |
| -- | n |
| -- | rdamedia |
| 338 ## - | |
| -- | volume |
| -- | nc |
| -- | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Pure and applied mathematics : a Wiley series of texts, monographs, and tracts |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "This book provides a comprehensive and self-contained treatment of the numerical methods used to solve partial differential equations (PDEs), as well as both the error and efficiency of the presented methods. Featuring a large selection of theoretical examples and exercises, the book presents the main discretization techniques for PDEs, introduces advanced solution techniques, and discusses important nonlinear problems in many fields of science and engineering. It is designed as an applied mathematics text for advanced undergraduate and/or first-year graduate level courses on numerical PDEs"-- |
| -- | Provided by publisher. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 500 ## - GENERAL NOTE | |
| General note | Machine generated contents note: Preface. Acknowledgments. 1. Finite Difference. 1.1 Second-Order Approximation for [delta].1.2 Fourth-Order Approximation for [delta].1.3 Neumann Boundary Condition. 1.4 Polar Coordinates. 1.5 Curved Boundary. 1.6 Difference Approximation for [delta]2.1.7 A Convection-Diffusion Equation. 1.8 Appendix: Analysis of Discrete Operators. 1.9 Summary and Exercises. 2. Mathematical Theory of Elliptic PDEs. 2.1 Function Spaces. 2.2 Derivatives. 2.3 Sobolev Spaces. 2.4 Sobolev Embedding Theory. 2.5 Traces. 2.6 Negative Sobolev Spaces. 2.7 Some Inequalities and Identities. 2.8 Weak Solutions. 2.9 Linear Elliptic PDEs. 2.10 Appendix: Some Definitions and Theorems. 2.11 Summary and Exercises. 3. Finite Elements. 3.1 Approximate Methods of Solution. 3.2 Finite Elements in 1D.3.3 Finite Elements in 2D.3.4 Inverse Estimate. 3.5 L2 and Negative-Norm Estimates. 3.6 A Posteriori Estimate. 3.7 Higher-Order Elements. 3.8 Quadrilateral Elements. 3.9 Numerical Integration. 3.10 Stokes Problem. 3.11 Linear Elasticity. 3.12 Summary and Exercises. 4. Numerical Linear Algebra. 4.1 Condition Numbers. 4.2 Classical Iterative Methods. 4.3 Krylov Subspace Methods. 4.4 Preconditioning. 4.5 Direct Methods. 4.6 Appendix: Chebyshev Polynomials. 4.7 Summary and Exercises. 5. Spectral Methods. 5.1 Trigonometric Polynomials. 5.2 Fourier Spectral Method. 5.3 Orthogonal Polynomials. 5.4 Spectral Gakerkin and Spectral Tau Methods. 5.5 Spectral Collocation. 5.6 Polar Coordinates. 5.7 Neumann Problems5.8 Fourth-Order PDEs. 5.9 Summary and Exercises. 6. Evolutionary PDEs. 6.1 Finite Difference Schemes for Heat Equation. 6.2 Other Time Discretization Schemes. 6.3 Convection-Dominated equations. 6.4 Finite Element Scheme for Heat Equation. 6.5 Spectral Collocation for Heat Equation. 6.6 Finite Different Scheme for Wave Equation. 6.7 Dispersion. 6.8 Summary and Exercises. 7. Multigrid. 7.1 Introduction. 7.2 Two-Grid Method. 7.3 Practical Multigrid Algorithms. 7.4 Finite Element Multigrid. 7.5 Summary and Exercises. 8. Domain Decomposition. 8.1 Overlapping Schwarz Methods. 8.2 Projections. 8.3 Non-overlapping Schwarz Method. 8.4 Substructuring Methods. 8.5 Optimal Substructuring Methods. 8.6 Summary and Exercises. 9. Infinite Domains. 9.1 Absorbing Boundary Conditions. 9.2 Dirichlet-Neumann Map. 9.3 Perfectly Matched Layer. 9.4 Boundary Integral Methods. 9.5 Fast Multiple Method. 9.6 Summary and Exercises. 10. Nonlinear Problems. 10.1 Newton's Method. 10.2 Other Methods. 10.3 Some Nonlinear Problems. 10.4 Software. 10.5 Program Verification. 10.6 Summary and Exercises. Answers to Selected Exercises. References. Index. |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Miscellaneous information | Preface. Acknowledgments -- |
| Title | Finite Difference. -- |
| -- | Second-Order Approximation for [delta] -- |
| -- | Fourth-Order Approximation for [delta] -- |
| -- | Neumann Boundary Condition -- |
| -- | Polar Coordinates -- |
| -- | Curved Boundary -- |
| -- | Difference Approximation for [delta] -- |
| -- | A Convection-Diffusion Equation -- |
| Miscellaneous information | Appendix: |
| Title | Analysis of Discrete Operators -- |
| -- | Summary and Exercises -- |
| -- | Mathematical Theory of Elliptic PDEs -- |
| -- | Function Spaces -- |
| -- | Derivatives -- |
| -- | Sobolev Spaces -- |
| -- | Sobolev Embedding Theory -- |
| -- | Traces -- |
| -- | Negative Sobolev Spaces -- |
| -- | Some Inequalities and Identities -- |
| -- | Weak Solutions -- |
| -- | Linear Elliptic PDEs -- |
| Miscellaneous information | Appendix: |
| Title | Some Definitions and Theorems -- |
| Miscellaneous information | Summary and Exercises -- |
| Title | Finite Elements. 3.1 Approximate Methods of Solution -- |
| -- | Finite Elements in 1D -- |
| -- | Finite Elements in 2D -- |
| -- | Inverse Estimate -- |
| -- | L2 and Negative-Norm Estimates -- |
| -- | A Posteriori Estimate -- |
| -- | Higher-Order Elements -- |
| -- | Quadrilateral Elements -- |
| -- | Numerical Integration -- |
| -- | Stokes Problem -- |
| -- | Linear Elasticity -- |
| Miscellaneous information | Summary and Exercises -- |
| Title | Numerical Linear Algebra -- |
| -- | Condition Numbers -- |
| -- | Classical Iterative Methods -- |
| -- | Krylov Subspace Methods -- |
| -- | Preconditioning -- |
| -- | Direct Methods -- |
| Miscellaneous information | Appendix: |
| Title | Chebyshev Polynomials -- |
| Miscellaneous information | Summary and Exercises -- |
| Title | Spectral Methods -- |
| -- | Trigonometric Polynomials -- |
| -- | Fourier Spectral Method -- |
| -- | Orthogonal Polynomials -- |
| -- | Spectral Gakerkin and Spectral Tau Methods -- |
| -- | Spectral Collocation -- |
| -- | Polar Coordinates -- |
| -- | Neumann Problems -- |
| -- | Fourth-Order PDEs -- |
| Miscellaneous information | Summary and Exercises -- |
| Title | Evolutionary PDEs -- |
| -- | Finite Difference Schemes for Heat Equation -- |
| -- | Other Time Discretization Schemes -- |
| -- | Convection-Dominated equations -- |
| -- | Finite Element Scheme for Heat Equation -- |
| -- | Spectral Collocation for Heat Equation -- |
| -- | Finite Different Scheme for Wave Equation -- |
| -- | Dispersion -- |
| Miscellaneous information | Summary and Exercises -- |
| Title | Multigrid -- |
| Miscellaneous information | Introduction -- |
| Title | Two-Grid Method -- |
| -- | Practical Multigrid Algorithms -- |
| -- | Finite Element Multigrid -- |
| Miscellaneous information | Summary and Exercises -- |
| Title | Domain Decomposition -- |
| -- | Overlapping Schwarz Methods -- |
| -- | Projections -- |
| -- | Non-overlapping Schwarz Method -- |
| -- | Substructuring Methods -- |
| -- | Optimal Substructuring Methods -- |
| Miscellaneous information | Summary and Exercises -- |
| Title | Infinite Domains -- |
| -- | Absorbing Boundary Conditions -- |
| -- | Dirichlet-Neumann Map -- |
| -- | Perfectly Matched Layer -- |
| -- | Boundary Integral Methods -- |
| -- | Fast Multiple Method -- |
| Miscellaneous information | Summary and Exercises -- |
| Title | Nonlinear Problems -- |
| -- | Newton's Method -- |
| -- | Other Methods -- |
| -- | Some Nonlinear Problems -- |
| -- | Software -- |
| -- | Program Verification -- |
| Miscellaneous information | Summary and Exercises. Answers to Selected Exercises. References. Index. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential equations, Partial |
| General subdivision | Numerical solutions. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Mathematical Analysis. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential equations, Partial |
| General subdivision | Numerical solutions. |
| Source of heading or term | fast |
| -- | (OCoLC)fst00893488 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Numerisches Verfahren. |
| -- | (DE-588)4128130-5 |
| Source of heading or term | gnd |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Partielle Differentialgleichung. |
| -- | (DE-588)4044779-0 |
| Source of heading or term | gnd |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Numerisches Verfahren. |
| -- | (DE-588c)4128130-5 |
| Source of heading or term | swd |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Partielle Differentialgleichung. |
| -- | (DE-588c)4044779-0 |
| Source of heading or term | swd |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Pure and applied mathematics (John Wiley & Sons : Unnumbered) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Wiley InterScience |
| Uniform Resource Identifier | <a href="http://onlinelibrary.wiley.com/book/10.1002/9781118111130">http://onlinelibrary.wiley.com/book/10.1002/9781118111130</a> |
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| -- | $115.00 |
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