| Description |
1 online resource |
| Series |
Use R! |
|
Use R!
|
| Contents |
Differential Equations -- Initial Value Problems -- Solving Ordinary Differential Equations in R -- Differential Algebraic Equations -- Solving Differential Algebraic Equations in R -- Delay Differential Equations -- Solving Delay Differential Equations in R -- Partial Differential Equations -- Solving Partial Differential Equations in R -- Boundary Value Problems -- Solving Boundary Value Problems in R |
| Summary |
Mathematics plays an important role in many scientific and engineering disciplines. This book deals with the numerical solution of differential equations, a very important branch of mathematics. Our aim is to give a practical and theoretical account of how to solve a large variety of differential equations, comprising ordinary differential equations, initial value problems and boundary value problems, differential algebraic equations, partial differential equations and delay differential equations. The solution of differential equations using R is the main focus of this book. It is therefore intended for the practitioner, the student and the scientist, who wants to know how to use R for solving differential equations. However, it has been our goal that non-mathematicians should at least understand the basics of the methods, while obtaining entrance into the relevant literature that provides more mathematical background. Therefore, each chapter that deals with R examples is preceded by a chapter where the theory behind the numerical methods being used is introduced. In the sections that deal with the use of R for solving differential equations, we have taken examples from a variety of disciplines, including biology, chemistry, physics, pharmacokinetics. Many examples are well-known test examples, used frequently in the field of numerical analysis |
| Analysis |
Statistics |
|
Computer simulation |
|
Differential Equations |
|
Differential equations, partial |
|
Mathematical statistics |
|
Statistics and Computing/Statistics Programs |
|
Computational Mathematics and Numerical Analysis |
|
Simulation and Modeling |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Differential equations -- Data processing
|
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R (Computer program language)
|
|
Computer science.
|
|
Electronic data processing.
|
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Mathematics.
|
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Programming languages (Electronic computers)
|
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Electronic Data Processing
|
|
Mathematical Concepts
|
|
Mathematics
|
|
Programming Languages
|
|
data processing.
|
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computer science.
|
|
applied mathematics.
|
|
mathematics.
|
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MATHEMATICS -- Calculus.
|
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MATHEMATICS -- Mathematical Analysis.
|
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Ecuaciones diferenciales -- Datos-Tratamiento
|
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R (Lenguaje de programación)
|
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Informática
|
|
Lenguajes de programación
|
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Informática-Aplicaciones
|
|
Programming languages (Electronic computers)
|
|
Mathematics
|
|
Electronic data processing
|
|
Computer science
|
|
Differential equations -- Data processing
|
|
R (Computer program language)
|
| Form |
Electronic book
|
| Author |
Cash, J. R.
|
|
Mazzia, Francesca
|
| ISBN |
9783642280702 |
|
3642280706 |
|
