This new work is an introduction to the numerical solution of the initial value problem for a system of ordinary differential equations. The first three chapters are general in nature, and chapters 4 through 8 derive the basic numerical methods, prove their convergence, study their stability and consider how to implement them effectively. The book focuses on the most important methods in practice and develops them fully, uses examples throughout, and emphasizes practical problem-solving methods.
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First Sentence:
The aim of this chapter is to develop a sense of what kinds of initial value problems can be solved numerically and how to prepare problems for their numerical solution. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
principal error function, truncation error coefficients, computed solution values, pure relative error control, strong root condition, methods with memory, new iteration matrix, step size implementation, solving stiff problems, absolute error control, step size formulation, local extrapolation, successive step sizes, first output point, lower order formula, null isoclines, estimated local error, backward difference form, discrete variable methods, higher order formula, initial step size, interpolation capability, local truncation error, absolute error tolerance, relative error tolerance Key Phrases - Capitalized Phrases (CAPs): (learn more)
Sandia National Laboratories, New York, The Robertson New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The aim of this chapter is to develop a sense of what kinds of initial value problems can be solved numerically and how to prepare problems for their numerical solution. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
principal error function, truncation error coefficients, computed solution values, pure relative error control, strong root condition, methods with memory, new iteration matrix, step size implementation, solving stiff problems, absolute error control, step size formulation, local extrapolation, successive step sizes, first output point, lower order formula, null isoclines, estimated local error, backward difference form, discrete variable methods, higher order formula, initial step size, interpolation capability, local truncation error, absolute error tolerance, relative error tolerance Key Phrases - Capitalized Phrases (CAPs): (learn more)
Sandia National Laboratories, New York, The Robertson New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 51
books:
See all 51 books this book cites
3
books
cite this book:
- Stiff Differential Systems (IBM Research Symposia Series) by Ralph Willoughby in Back Matter (1), Back Matter (2), and Back Matter (3)
- Differential Equations, Student Solution Manual: A Modeling Perspective, Preliminary Edition by Robert L. Borrelli on page 19, Back Matter (1), and Back Matter (2)
- Differential Equations (with CD-ROM) by Paul Blanchard in Back Matter (1), Back Matter (2), and Back Matter (3)
- Discrete Variable Methods in Ordinary Differential Equations by Peter Henrici in Back Matter (1), and Back Matter (2)
- Computational Techniques for Ordinary Differential Equations by I. Gladwell in Back Matter (1), and Back Matter (2)
See all 51 books this book cites
- Elementary Differential Equations by William E. Boyce on page 458
- Elementary Differential Equations and Boundary Value Problems by William E. Boyce on page 458
- Elementary Differential Equations by William E. Boyce on page 455
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