Numerical analysis of partial differential equations (Record no. 38190)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03691cam a22001814a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780470647288 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 518.64 |
| Item number | LUI/N |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Lui, S. H. |
| 245 10 - TITLE STATEMENT | |
| Title | Numerical analysis of partial differential equations |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Hoboken, N.J. : |
| Name of publisher | Wiley, |
| Year of publication | c2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xiii, 487 p. : |
| Other physical details | ill. ; |
| 490 1# - SERIES STATEMENT | |
| Series statement | Pure and applied mathematics : a Wiley series of texts, monographs, and tracts |
| 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. . |
| 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"-- |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential equations, Partial |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BK |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| Withdrawn status | |
| Lost status | |
| Damaged status | |
| Current library | |
| Collection code | Home library | Shelving location | Date acquired | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|
| Stack | Kannur University Central Library | Stack | 04/02/2016 | 518.64 LUI/N | 37635 | BK |