This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems. This text concisely reviews integration algorithms, then analyzes the widely used Runge-Kutta method. It first presents a complete code before discussing its components in detail, focusing on integration concepts such as error monitoring and control. The format allows scientists and engineers to understand the basics of ODE/PDE integration, then calculate sample numerical solutions within their targeted programming language. The applications discussed can be used as templates for the development of a spectrum of new applications.
Ordinary and Partial Differential Equation Routines in C,...
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4 of 4 people found the following review helpful:
5.0 out of 5 stars
An extremely reliable set of codes,
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This review is from: Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB (Hardcover)
You can't do much better than rely on Professor Schiesser and his colleagues for clear and reliable advice on solving ODEs and PDEs. This book contains well-tested codes that are both computationally efficient and robust. I have already solved some thorny problems quite quickly, and even subjected the codes to some pathological cases with good results. The code documentation is straightforward and easily understood. I would recommend this to all serious users.
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Inside This Book
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First Sentence:
The central topic of this book is the programming and use of a set of library routines for the numerical solution (integration) of systems of initial value ordinary differential equations (ODEs). Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Fortran Again, Java Again, Runge Kutta Fehlberg New!
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Front Cover | Table of Contents | First Pages | Index | Surprise Me!
The central topic of this book is the programming and use of a set of library routines for the numerical solution (integration) of systems of initial value ordinary differential equations (ODEs). Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Fortran Again, Java Again, Runge Kutta Fehlberg New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
This book cites 10
books:
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- The Numerical Method of Lines: Integration of Partial Differential Equations by William E. Schiesser on page 105, page 396, and Back Matter
- Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations (Classics in Applied Mathematics) by K. E. Brenan on page 106, and Back Matter
- A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics) by Arieh Iserles on page 105
- Numerical Initial Value Problems in Ordinary Differential Equations (Automatic Computation) by C. William Gear on page 105
- Dynamic Modeling of Transport Process Systems by C. A. Silebi in Back Matter
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