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Scientific Computing and Differential Equations
An Introduction to Numerical Methods
1st Edition - September 16, 1991
Authors: Gene H. Golub, James M. Ortega
Language: English
Hardback ISBN:9780122892554
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eBook ISBN:9780080516691
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Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The bo…Read more
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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
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.
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.
No. of pages: 344
Language: English
Edition: 1
Published: September 16, 1991
Imprint: Academic Press
Hardback ISBN: 9780122892554
eBook ISBN: 9780080516691
GG
Gene H. Golub
Affiliations and expertise
Stanford University
JO
James M. Ortega
Affiliations and expertise
University of Virginia, Charlottesville
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