### 抄録

This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

元の言語 | English |
---|---|

出版者 | Springer International Publishing |

ページ数 | 305 |

ISBN（印刷物） | 9783319230429, 9783319230412 |

DOI | |

出版物ステータス | Published - 2015 9 18 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)

### これを引用

*Methods of Mathematical Modelling: Continuous Systems and Differential Equations*. Springer International Publishing. https://doi.org/10.1007/978-3-319-23042-9

**Methods of Mathematical Modelling : Continuous Systems and Differential Equations.** / Witelski, Thomas; Bowen, Mark.

研究成果: Book

*Methods of Mathematical Modelling: Continuous Systems and Differential Equations*. Springer International Publishing. https://doi.org/10.1007/978-3-319-23042-9

}

TY - BOOK

T1 - Methods of Mathematical Modelling

T2 - Continuous Systems and Differential Equations

AU - Witelski, Thomas

AU - Bowen, Mark

PY - 2015/9/18

Y1 - 2015/9/18

N2 - This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

AB - This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

UR - http://www.scopus.com/inward/record.url?scp=84955161019&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84955161019&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-23042-9

DO - 10.1007/978-3-319-23042-9

M3 - Book

AN - SCOPUS:84955161019

SN - 9783319230429

SN - 9783319230412

BT - Methods of Mathematical Modelling

PB - Springer International Publishing

ER -