A First Course In The Numerical Analysis Of Differential Equations
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A First Course In The Numerical Analysis Of Differential Equations
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Author : A. Iserles
language : en
Publisher: Cambridge University Press
Release Date : 2009
A First Course In The Numerical Analysis Of Differential Equations written by A. Iserles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
A First Course In The Numerical Analysis Of Differential Equations
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Author : A. Iserles
language : en
Publisher: Cambridge University Press
Release Date : 1996-01-18
A First Course In The Numerical Analysis Of Differential Equations written by A. Iserles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-18 with Mathematics categories.
Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance between theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; methods for parabolic and hyperbolic differential equations and techniques of their analysis. The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics. Dr Iserles concentrates on fundamentals: deriving methods from first principles, analysing them with a variety of mathematical techniques and occasionally discussing questions of implementation and applications. By doing so, he is able to lead the reader to theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations.
A First Course In The Numerical Analysis Of Differential Equations
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Author : Arieh Iserles
language : en
Publisher:
Release Date : 2009
A First Course In The Numerical Analysis Of Differential Equations written by Arieh Iserles and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
A First Course In The Numerical Analysis Of Differential Equations
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Author :
language : en
Publisher:
Release Date : 2009
A First Course In The Numerical Analysis Of Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
A First Course In The Numerical Analysis Of Differential Equations
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Author : Arieh Iserles
language : en
Publisher: Cambridge University Press
Release Date : 2008-11-27
A First Course In The Numerical Analysis Of Differential Equations written by Arieh Iserles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-27 with Mathematics categories.
Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This second edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems.
A First Course In The Numerical Analysis Of Differential Equations South Asian Edition
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Author : A. Iserles
language : en
Publisher:
Release Date : 2012-11-01
A First Course In The Numerical Analysis Of Differential Equations South Asian Edition written by A. Iserles and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-01 with Differential equations categories.
This extensively updated edition includes new chapters on emerging subject areas including geometric numerical integration, spectral methods and conjugate gradients.
A First Course In Ordinary Differential Equations
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Author : Martin Hermann
language : en
Publisher: Springer Science & Business
Release Date : 2014-04-22
A First Course In Ordinary Differential Equations written by Martin Hermann and has been published by Springer Science & Business this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-22 with Mathematics categories.
This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format—the theorem-and-proof format—the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced level, to introduce and study the mathematics of ODEs. The analytical part of the book deals with solution techniques for scalar first-order and second-order linear ODEs, and systems of linear ODEs—with a special focus on the Laplace transform, operator techniques and power series solutions. In the numerical part, theoretical and practical aspects of Runge-Kutta methods for solving initial-value problems and shooting methods for linear two-point boundary-value problems are considered. The book is intended as a primary text for courses on the theory of ODEs and numerical treatment of ODEs for advanced undergraduate and early graduate students. It is assumed that the reader has a basic grasp of elementary calculus, in particular methods of integration, and of numerical analysis. Physicists, chemists, biologists, computer scientists and engineers whose work involves solving ODEs will also find the book useful as a reference work and tool for independent study. The book has been prepared within the framework of a German–Iranian research project on mathematical methods for ODEs, which was started in early 2012.
A First Course In The Numerical Analysis Of Differential Equations Second Edition
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Author : A. Iserles
language : en
Publisher:
Release Date : 2009
A First Course In The Numerical Analysis Of Differential Equations Second Edition written by A. Iserles and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
A First Course In Numerical Analysis
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Author : Anthony Ralston
language : en
Publisher: Courier Corporation
Release Date : 2001-01-01
A First Course In Numerical Analysis written by Anthony Ralston and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Mathematics categories.
Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.
Numerical Methods For Scientists And Engineers
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Author : H. M. Antia
language : en
Publisher: Springer
Release Date : 2012-11-15
Numerical Methods For Scientists And Engineers written by H. M. Antia and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-15 with Science categories.
This book presents an exhaustive and in-depth exposition of the various numerical methods used in scientific and engineering computations. It emphasises the practical aspects of numerical computation and discusses various techniques in sufficient detail to enable their implementation in solving a wide range of problems. The main addition in the third edition is a new Chapter on Statistical Inferences. There is also some addition and editing in the next chapter on Approximations. With this addition 12 new programs have also been added.