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Introduction to Precise Numerical Methods - Oliver Aberth

Introduction to Precise Numerical Methods


Published: 11th April 2007
Format: PDF
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Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how precise numerical analysis is constructed. It includes a CD-ROM which contains executable Windows XP programs for the PC and which demonstrates how these programs can be used to solve typical problems of elementary numerical analysis with precision. The book also provides exercises which illustrate points from the text and references for the methods presented.

?? Clearer, simpler descriptions and explanations of
the various numerical methods
?? Windows based software
?? Two new types of numerical problems; accurately
solving partial differential equations with the included software and computing line integrals in the complex plane.

Preface; 1 Introduction; 2 Computer Arithmetics; 3 Classification of Numerical Computation Problems; 4 Real-Valued Functions; 5 Computing Derivatives; 6 Computing Integrals; 7 Finding Where a Function f(x) is Zero; 8 Finding Roots of Polynomial; 9 Solving n Linear Equations in n Unknowns; 10 Eigenvalue and Eigenvector Problems; 11 Problems of Linear Programming; 12 Finding Where Several Functions are Zero; 13 Optimization Problems; 14 Ordinary Differential Equations; 15 Partial Differential Equations; 16 Numerical Methods with Complex Functions; Index

ISBN: 9780080471204
ISBN-10: 008047120X
Format: PDF
Language: English
Published: 11th April 2007
Edition Number: 2