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This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom methods. Additional discussions of multivariable integral equations and iteration methods update the reader on the present state of the art in this area. The final chapters focus on the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation, in both two and three dimensions. Two chapters are devoted to planar BIE problems, which include both existing methods and remaining questions. Practical problems for BIE such as the set up and solution of the discretised BIE are also discussed. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations.
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Descrizione del libro
This book provides an extensive introduction to the numerical solution of a large class of integral equations. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations.
Contenuti
Preface; 1. A brief discussion of integral equations; 2. Degenerate kernel methods; 3. Projection methods; 4. The Nystrom method; 5. Solving multivariable integral equations; 6. Iteration methods; 7. Boundary integral equations on a smooth planar boundary; 8. Boundary integral equations on a piecewise smooth planar boundary; 9. Boundary integral equations in three dimensions; Discussion of the literature; Appendix; Bibliography; Index.
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- EditoreCambridge University Press
- Data di pubblicazione2009
- ISBN 10 0521102839
- ISBN 13 9780521102834
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine572
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The Numerical Solution of Integral Equations of the Second Kind (Cambridge Monographs on Applied and Computational Mathematics, Series Number 4)
Editore:
Cambridge University Press, 2009
ISBN 10: 0521102839
ISBN 13: 9780521102834
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Soft cover. Condizione: Very Good. No Jacket. 1st Edition. The Numerical Solution of Integral Equations of the Second Kind (Cambridge Monographs on Applied and Computational Mathematics, Series Number 4) Kendall E. Atkinson. Published by Cambridge University Press, 2009. 552p. trade paperback, covers lightly bumped/scuffed, binding tight, text clean/unmarked, very good condition--ISBN 10: 0521102839ISBN 13: 9780521102834--50.00. Codice articolo ABE-1646349903415
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The Numerical Solution of Integral Equations of the Second Kind
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The Numerical Solution of Integral Equations of the Second Kind (Paperback)
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Cambridge University Press, Cambridge, 2009
ISBN 10: 0521102839
ISBN 13: 9780521102834
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Paperback. Condizione: new. Paperback. This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom methods. Additional discussions of multivariable integral equations and iteration methods update the reader on the present state of the art in this area. The final chapters focus on the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation, in both two and three dimensions. Two chapters are devoted to planar BIE problems, which include both existing methods and remaining questions. Practical problems for BIE such as the set up and solution of the discretised BIE are also discussed. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations. This book provides an extensive introduction to the numerical solution of a large class of integral equations. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780521102834
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The Numerical Solution of Integral Equations of the Second Kind (Paperback)
Editore:
Cambridge University Press, Cambridge, 2009
ISBN 10: 0521102839
ISBN 13: 9780521102834
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Paperback. Condizione: new. Paperback. This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom methods. Additional discussions of multivariable integral equations and iteration methods update the reader on the present state of the art in this area. The final chapters focus on the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation, in both two and three dimensions. Two chapters are devoted to planar BIE problems, which include both existing methods and remaining questions. Practical problems for BIE such as the set up and solution of the discretised BIE are also discussed. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations. This book provides an extensive introduction to the numerical solution of a large class of integral equations. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9780521102834
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