A first course in the numerical analysis of differential equations /:
This extensively updated edition includes new chapters on emerging subject areas including geometric numerical integration, spectral methods and conjugate gradients.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2009.
|
| Ausgabe: | 2nd ed. |
| Schriftenreihe: | Cambridge texts in applied mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This extensively updated edition includes new chapters on emerging subject areas including geometric numerical integration, spectral methods and conjugate gradients. |
| Beschreibung: | 1 online resource (xviii, 459 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780521734905 0521734908 9780511504235 0511504233 9781139129862 1139129864 9780511995569 0511995563 9781283330398 1283330393 9781107193260 1107193265 9786613330390 6613330396 1139134906 9781139134903 1139133799 9781139133791 0511506376 9780511506376 |
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| 246 | 3 | 0 | |a Numerical analysis of differential equations |
| 250 | |a 2nd ed. | ||
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2009. | ||
| 300 | |a 1 online resource (xviii, 459 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Preface to the first edition; Preface to the second edition; Flowchart of contents; Part I. Ordinary differential equations: 1. Euler's method and beyond; 2. Multistep methods; 3. Runge-Kutta methods; 4. Stiff equations; 5. Geometric numerical integration; 6. Error control; 7. Nonlinear algebraic systems; Part II. The Poisson equation: 8. Finite difference schemes; 9. The finite element method; 10. Spectral methods; 11. Gaussian elimination for sparse linear equations; 12. Classical iterative methods for sparse linear equations; 13. Multigrid techniques; 14. Conjugate gradients; 15. Fast Poisson solvers; Part III. Partial differential equations of evolution: 16. The diffusion equation; 17. Hyperbolic equations; Appendix. Bluffer's guide to useful mathematics: A.1. Linear algebra; A.2. Analysis; Bibliography; Index. | |
| 520 | |a This extensively updated edition includes new chapters on emerging subject areas including geometric numerical integration, spectral methods and conjugate gradients. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
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| contents | Preface to the first edition; Preface to the second edition; Flowchart of contents; Part I. Ordinary differential equations: 1. Euler's method and beyond; 2. Multistep methods; 3. Runge-Kutta methods; 4. Stiff equations; 5. Geometric numerical integration; 6. Error control; 7. Nonlinear algebraic systems; Part II. The Poisson equation: 8. Finite difference schemes; 9. The finite element method; 10. Spectral methods; 11. Gaussian elimination for sparse linear equations; 12. Classical iterative methods for sparse linear equations; 13. Multigrid techniques; 14. Conjugate gradients; 15. Fast Poisson solvers; Part III. Partial differential equations of evolution: 16. The diffusion equation; 17. Hyperbolic equations; Appendix. Bluffer's guide to useful mathematics: A.1. Linear algebra; A.2. Analysis; Bibliography; Index. |
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| discipline | Mathematik |
| edition | 2nd ed. |
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Preface to the second edition; Flowchart of contents; Part I. Ordinary differential equations: 1. Euler's method and beyond; 2. Multistep methods; 3. Runge-Kutta methods; 4. Stiff equations; 5. Geometric numerical integration; 6. Error control; 7. Nonlinear algebraic systems; Part II. The Poisson equation: 8. Finite difference schemes; 9. The finite element method; 10. Spectral methods; 11. Gaussian elimination for sparse linear equations; 12. Classical iterative methods for sparse linear equations; 13. Multigrid techniques; 14. Conjugate gradients; 15. Fast Poisson solvers; Part III. Partial differential equations of evolution: 16. The diffusion equation; 17. Hyperbolic equations; Appendix. Bluffer's guide to useful mathematics: A.1. Linear algebra; A.2. 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| genre | Electronic book. Electronic books. |
| genre_facet | Electronic book. Electronic books. |
| id | ZDB-4-EBA-ocn320895922 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:45Z |
| institution | BVB |
| isbn | 9780521734905 0521734908 9780511504235 0511504233 9781139129862 1139129864 9780511995569 0511995563 9781283330398 1283330393 9781107193260 1107193265 9786613330390 6613330396 1139134906 9781139134903 1139133799 9781139133791 0511506376 9780511506376 |
| language | English |
| oclc_num | 320895922 |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xviii, 459 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Cambridge texts in applied mathematics. |
| series2 | Cambridge texts in applied mathematics |
| spelling | Iserles, A. http://id.loc.gov/authorities/names/n85347732 A first course in the numerical analysis of differential equations / Arieh Iserles. Numerical analysis of differential equations 2nd ed. Cambridge ; New York : Cambridge University Press, 2009. 1 online resource (xviii, 459 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Cambridge texts in applied mathematics Includes bibliographical references and index. Preface to the first edition; Preface to the second edition; Flowchart of contents; Part I. Ordinary differential equations: 1. Euler's method and beyond; 2. Multistep methods; 3. Runge-Kutta methods; 4. Stiff equations; 5. Geometric numerical integration; 6. Error control; 7. Nonlinear algebraic systems; Part II. The Poisson equation: 8. Finite difference schemes; 9. The finite element method; 10. Spectral methods; 11. Gaussian elimination for sparse linear equations; 12. Classical iterative methods for sparse linear equations; 13. Multigrid techniques; 14. Conjugate gradients; 15. Fast Poisson solvers; Part III. Partial differential equations of evolution: 16. The diffusion equation; 17. Hyperbolic equations; Appendix. Bluffer's guide to useful mathematics: A.1. Linear algebra; A.2. Analysis; Bibliography; Index. This extensively updated edition includes new chapters on emerging subject areas including geometric numerical integration, spectral methods and conjugate gradients. Print version record. English. Differential equations Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037893 Équations différentielles Solutions numériques. MATHEMATICS Numerical Analysis. bisacsh Differential equations Numerical solutions fast Numerische Mathematik gnd http://d-nb.info/gnd/4042805-9 Differentialgleichung gnd Differentialekvationer. sao numerisk analyse differensialligninger Electronic book. Electronic books. Iserles, A. First course in the numerical analysis of differential equations. 2nd ed. Cambridge ; New York : Cambridge University Press, 2009 9780521734905 (DLC) 2009285762 (OCoLC)277275036 Cambridge texts in applied mathematics. http://id.loc.gov/authorities/names/n86719346 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=400705 Volltext |
| spellingShingle | Iserles, A. A first course in the numerical analysis of differential equations / Cambridge texts in applied mathematics. Preface to the first edition; Preface to the second edition; Flowchart of contents; Part I. Ordinary differential equations: 1. Euler's method and beyond; 2. Multistep methods; 3. Runge-Kutta methods; 4. Stiff equations; 5. Geometric numerical integration; 6. Error control; 7. Nonlinear algebraic systems; Part II. The Poisson equation: 8. Finite difference schemes; 9. The finite element method; 10. Spectral methods; 11. Gaussian elimination for sparse linear equations; 12. Classical iterative methods for sparse linear equations; 13. Multigrid techniques; 14. Conjugate gradients; 15. Fast Poisson solvers; Part III. Partial differential equations of evolution: 16. The diffusion equation; 17. Hyperbolic equations; Appendix. Bluffer's guide to useful mathematics: A.1. Linear algebra; A.2. Analysis; Bibliography; Index. Differential equations Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037893 Équations différentielles Solutions numériques. MATHEMATICS Numerical Analysis. bisacsh Differential equations Numerical solutions fast Numerische Mathematik gnd http://d-nb.info/gnd/4042805-9 Differentialgleichung gnd Differentialekvationer. sao |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037893 http://d-nb.info/gnd/4042805-9 |
| title | A first course in the numerical analysis of differential equations / |
| title_alt | Numerical analysis of differential equations |
| title_auth | A first course in the numerical analysis of differential equations / |
| title_exact_search | A first course in the numerical analysis of differential equations / |
| title_full | A first course in the numerical analysis of differential equations / Arieh Iserles. |
| title_fullStr | A first course in the numerical analysis of differential equations / Arieh Iserles. |
| title_full_unstemmed | A first course in the numerical analysis of differential equations / Arieh Iserles. |
| title_short | A first course in the numerical analysis of differential equations / |
| title_sort | first course in the numerical analysis of differential equations |
| topic | Differential equations Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037893 Équations différentielles Solutions numériques. MATHEMATICS Numerical Analysis. bisacsh Differential equations Numerical solutions fast Numerische Mathematik gnd http://d-nb.info/gnd/4042805-9 Differentialgleichung gnd Differentialekvationer. sao |
| topic_facet | Differential equations Numerical solutions. Équations différentielles Solutions numériques. MATHEMATICS Numerical Analysis. Differential equations Numerical solutions Numerische Mathematik Differentialgleichung Differentialekvationer. Electronic book. Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=400705 |
| work_keys_str_mv | AT iserlesa afirstcourseinthenumericalanalysisofdifferentialequations AT iserlesa numericalanalysisofdifferentialequations AT iserlesa firstcourseinthenumericalanalysisofdifferentialequations |