A First Course on Numerical Methods PDF Download

Author: Uri M. Ascher
Publisher: SIAM
ISBN: 9780898719987
Category : Mathematics
Languages : en
Pages : 552

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Book Description
Offers students a practical knowledge of modern techniques in scientific computing.

Author: Anthony Ralston
Publisher: Courier Corporation
ISBN: 9780486414546
Category : Mathematics
Languages : en
Pages : 644

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Book Description
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.

Author: A. Iserles
Publisher: Cambridge University Press
ISBN: 0521734908
Category : Mathematics
Languages : en
Pages : 481

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Book Description
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.

Author: Uri M. Ascher
Publisher: SIAM
ISBN: 0898719984
Category : Mathematics
Languages : en
Pages : 574

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Book Description
Offers students a practical knowledge of modern techniques in scientific computing.

Author: Martin Hermann
Publisher: Springer Science & Business
ISBN: 8132218353
Category : Mathematics
Languages : en
Pages : 288

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Book Description
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.

Author: James L. Buchanan
Publisher: McGraw-Hill College
ISBN: 9780070087170
Category : Mathematics
Languages : en
Pages : 751

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Book Description
Intended for a first course in numerical methods or numerical analysis taken by junior and senior level students, this book assumes a knowledge of calculus, linear algebra and differential equations. It covers numerical approximation/interpolation, graphics, and parallel computing. The interplay between hardware and software considerations in numerical algorithm design recurs throughout. A portion of the programs in the book are written in Turbo Pascal; the remainder are pseudocode or generalized algorithms. Programs used in the text will be available on a disk for instructors to use and copy.

Author: Arieh Iserles
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Author: Parviz Moin
Publisher: Cambridge University Press
ISBN: 0521884322
Category : Mathematics
Languages : en
Pages : 257

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Book Description
In this work, Parviz Moin introduces numerical methods and shows how to develop, analyse, and use them. A thorough and practical text, it is intended as a first course in numerical analysis.

Author: Paul L. DeVries
Publisher: Jones & Bartlett Publishers
ISBN: 1449636195
Category : Science
Languages : en
Pages : 444

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Book Description
Computers and computation are extremely important components of physics and should be integral parts of a physicist’s education. Furthermore, computational physics is reshaping the way calculations are made in all areas of physics. Intended for the physics and engineering students who have completed the introductory physics course, A First Course in Computational Physics, Second Edition covers the different types of computational problems using MATLAB with exercises developed around problems of physical interest. Topics such as root finding, Newton-Cotes integration, and ordinary differential equations are included and presented in the context of physics problems. A few topics rarely seen at this level such as computerized tomography, are also included. Within each chapter, the student is led from relatively elementary problems and simple numerical approaches through derivations of more complex and sophisticated methods, often culminating in the solution to problems of significant difficulty. The goal is to demonstrate how numerical methods are used to solve the problems that physicists face. Read the review published in Computing in Science & Engineering magazine, March/April 2011 (Vol. 13, No. 2) © 2011 IEEE, Published by the IEEE Computer Society

Author: Walter Jennings
Publisher:
ISBN:
Category : Numerical calculations
Languages : en
Pages : 233

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Book Description