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Author Iserles, A., author.
Title A first course in the numerical analysis of differential equations / Arieh Iserles.
Publisher Cambridge : Cambridge University Press, 2009.
Edition Second edition.


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Descript 1 online resource (xviii, 459 pages) : digital, PDF file(s).
Content text txt
Media computer c
Carrier online resource cr
Edition Second edition.
Note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
Note Unlimited number of concurrent users. UkHlHU
ISBN 9780511995569 (ebook)
9780521734905 (paperback)
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Author Iserles, A., author.
Series Cambridge texts in applied mathematics ; 44
Cambridge texts in applied mathematics ; 44.
Subject Differential equations -- Numerical solutions.
Descript 1 online resource (xviii, 459 pages) : digital, PDF file(s).
Content text txt
Media computer c
Carrier online resource cr
Edition Second edition.
Note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
Note Unlimited number of concurrent users. UkHlHU
ISBN 9780511995569 (ebook)
9780521734905 (paperback)
Author Iserles, A., author.
Series Cambridge texts in applied mathematics ; 44
Cambridge texts in applied mathematics ; 44.
Subject Differential equations -- Numerical solutions.

Subject Differential equations -- Numerical solutions.
Descript 1 online resource (xviii, 459 pages) : digital, PDF file(s).
Content text txt
Media computer c
Carrier online resource cr
Note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
Note Unlimited number of concurrent users. UkHlHU
ISBN 9780511995569 (ebook)
9780521734905 (paperback)
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