Scientific Computing and Differential Equations: An Introduction to Numerical Methods / Edition 1

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Overview

Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places the subject in a larger context.
This book is appropriate for upper undergraduate courses in mathematics, electrical engineering, and computer science; it is also well-suited to serve as a textbook for numerical differential equations courses at the graduate level.

• An introductory chapter gives an overview of scientific computing, indicating its important role in solving differential equations, and placing the subject in the larger environment
• Contains an introduction to numerical methods for both ordinary and partial differential equations
• Concentrates on ordinary differential equations, especially boundary-value problems
• Contains most of the main topics for a first course in numerical methods, and can serve as a text for this course
• Uses material for junior/senior level undergraduate courses in math and computer science plus material for numerical differential equations courses for engineering/science students at the graduate level

Audience: Textbook for upper undergraduate and graduate students in mathematics, electrical engineering, and computer science studying numerical methods and differential equations. General appeal to researchers in analysis.

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Editorial Reviews

Booknews
A textbook for a first graduate course in numerical methods--a semester or a year, depending on the students' depth of background in calculus, computer programming and differential equations, and linear algebra. A revision of Ortega and Poole's Introduction to numerical methods for differential equations (1981). Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780122892554
  • Publisher: Elsevier Science
  • Publication date: 9/30/1991
  • Edition description: Revised
  • Edition number: 1
  • Pages: 344
  • Product dimensions: 0.94 (w) x 9.00 (h) x 6.00 (d)

Table of Contents

The World of Scientific Computing. Letting It Fly. Initial Value Problems. Pinning It Down: Boundary Value Problems. More on Linear Systems of Equations. Life Is Really Nonlinear. Is There More Than Finite Differences? N Important Numbers. Space and Time. The Curse of Dimensionality. Appendixes: Analysis of Differential Equations. Linear Algebra. Bibliography. Index.

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