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Discrete variational derivative method [electronic resource] : a structure-preserving numerical method for partial differential equations / Daisuke Furihata, Takayasu Matsuo.

By: Contributor(s): Material type: TextTextSeries: Chapman & Hall/CRC numerical analysis and scientific computingPublication details: Boca Raton, Fla. : Chapman and Hall/CRC, 2011.Description: xi, 376 p. : illISBN:
  • 9781420094466 (ebook : PDF)
Subject(s): Genre/Form: Additional physical formats: No titleOnline resources: Available additional physical forms:
  • Also available in print edition.
Contents:
1. Introduction and summary -- 2. Target partial differential equations -- 3. Discrete variational derivative method -- 4. Applications -- 5. Advanced topic I : design of high-order schemes -- 6. Advanced topic II : design of linearly implicit schemes -- 7. Advanced topic III : further remarks.
Summary: "Many important problems in engineering and science are modeled by nonlinear partial differential equations (PDEs). A new trend in PDEs, called structure-preserving numerical methods, has recently developed. This book is devoted to one such technique, called the discrete variational derivative method. First, the text introduces the key factors and the basic ideas of this method, followed by target problems solvable by the method. The second section describes the rigorous mathematics in detail along with relevant applications, which are illustrated by worked examples. It concludes with a comprehensive of listing of essential references on structure-preserving algorithms for advanced readers"-- Provided by publisher.
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"Many important problems in engineering and science are modeled by nonlinear partial differential equations (PDEs). A new trend in PDEs, called structure-preserving numerical methods, has recently developed. This book is devoted to one such technique, called the discrete variational derivative method. First, the text introduces the key factors and the basic ideas of this method, followed by target problems solvable by the method. The second section describes the rigorous mathematics in detail along with relevant applications, which are illustrated by worked examples. It concludes with a comprehensive of listing of essential references on structure-preserving algorithms for advanced readers"-- Provided by publisher.

Includes bibliographical references (p. 359-371) and index.

1. Introduction and summary -- 2. Target partial differential equations -- 3. Discrete variational derivative method -- 4. Applications -- 5. Advanced topic I : design of high-order schemes -- 6. Advanced topic II : design of linearly implicit schemes -- 7. Advanced topic III : further remarks.

"A Chapman & Hall book."

Also available in print edition.

Mode of access: World Wide Web.

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