Finite difference computing with PDEs : a modern software approach

• 作者： Langtangen, Hans Petter, author.
• 其他作者：
  • Linge, Svein, author.
  • SpringerLink (Online service)
• 其他題名：
  • Texts in computational science and engineering ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Texts in computational science and engineering,16
• 主題： Differential equations, Partial--Numerical solutions. , Finite differences. , Mathematics. , Computational Science and Engineering. , Mathematical Applications in Computer Science. , Numeric Computing.
• ISBN： 9783319554563 (electronic bk.) 、 9783319554556 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Preface -- Vibration ODEs -- Wave Equations -- Diffusion equations -- Advection-dominated equations -- Nonlinear problems -- Useful formulas -- Truncation error analysis -- Software engineering: wave equation model -- References -- Index.
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• 摘要註: This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.
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