A First Course in Numerical Analysis

A First Course in Numerical Analysis


  • Release: 2001-01-01
  • Publisher: Courier Corporation
  • Price: FREE
  • File: PDF, 606 page
  • ISBN: 048641454X
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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.

A First Course in the Numerical Analysis of Differential Equations

A First Course in the Numerical Analysis of Differential Equations


  • Release: 2009
  • Publisher: Cambridge University Press
  • Price: FREE
  • File: PDF, 459 page
  • ISBN: 9780521734905
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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

A First Course in the Numerical Analysis of Differential Equations


  • Release: 1996-01-18
  • Publisher: Cambridge University Press
  • Price: FREE
  • File: PDF, 378 page
  • ISBN: 0521556554
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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 Numerical Analysis

A First Course in Numerical Analysis


  • Release: 2012-04-26
  • Publisher: Courier Corporation
  • Price: FREE
  • File: PDF, 576 page
  • ISBN: 9780486140292
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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.

Fundamentals of Engineering Numerical Analysis

Fundamentals of Engineering Numerical Analysis


  • Release: 2010-08-23
  • Publisher: Cambridge University Press
  • Price: FREE
  • File: PDF, page
  • ISBN: 9781139489553
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Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.

Numerical Analysis

Numerical Analysis


  • Release: 1990-01-01
  • Publisher: SIAM
  • Price: FREE
  • File: PDF, 201 page
  • ISBN: 1611971322
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This book addresses some of the basic questions in numerical analysis: convergence theorems for iterative methods for both linear and nonlinear equations; discretization error, especially for ordinary differential equations; rounding error analysis; sensitivity of eigenvalues; and solutions of linear equations with respect to changes in the data.