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Finite Difference Computing with PDEs [electronic resource] : A Modern Software Approach / by Hans Petter Langtangen, Svein Linge.
By: Langtangen, Hans Petter [author.].
Contributor(s): Linge, Svein [author.] | SpringerLink (Online service).
Material type:
TextSeries: Texts in Computational Science and Engineering: 16Publisher: Cham : Springer International Publishing : Imprint: Springer, 2017Description: XXIII, 507 p. 150 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319554563.Subject(s): Mathematics | Numerical analysis | Computer science -- Mathematics | Computer mathematics | Mathematics | Computational Science and Engineering | Mathematical Applications in Computer Science | Numeric ComputingAdditional physical formats: Printed edition:: No titleDDC classification: 004 Online resources: Click here to access online
Contents:
In:
Springer eBooksSummary: 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.
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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Preface -- Vibration ODEs -- Wave Equations -- Diffusion equations -- Advection-dominated equations -- Nonlinear problems -- Useful formulas -- Truncation error analysis -- Software engineering: wave equation model -- References -- Index. .
Open Access
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.