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Applied Numerical Methods for Partial Differential Equations

Af: Carl L. Gardner Engelsk Hardback

Applied Numerical Methods for Partial Differential Equations

Af: Carl L. Gardner Engelsk Hardback
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The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers numerous topics typically absent in introductory texts on ODEs and PDEs, including:Computing solutions to chaotic dynamical systems with TRBDF2Simulating the nonlinear diffusion equation with TRBDF2Applying Newton’s method and GMRES to the nonlinear Laplace equationAnalyzing gas dynamics with WENO3 (1D Riemann problems and 2D supersonic jets)Modeling the drift-diffusion equations with TRBDF2 and PCGSolving the classical hydrodynamic model (electro-gas dynamics) with WENO3 and TRBDF2The book features 34 original MATLAB programs illustrating each numerical method and includes 93 problems that confirm results discussed in the text and explore new directions. Additionally, it suggests eight semester-long projects.  This comprehensive text can serve as the basis for a one-semester graduate course on the numerical solution of partial differential equations, or, with some advanced material omitted, for a one-semester junior/senior or graduate course on the numerical solution of ordinary and partial differential equations. The topics and programs will be of interest to applied mathematicians, engineers, physicists, biologists, chemists, and more.  
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kr 573
Fragt: 39 kr
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Tjek vores konkurrenters priser
The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers numerous topics typically absent in introductory texts on ODEs and PDEs, including:Computing solutions to chaotic dynamical systems with TRBDF2Simulating the nonlinear diffusion equation with TRBDF2Applying Newton’s method and GMRES to the nonlinear Laplace equationAnalyzing gas dynamics with WENO3 (1D Riemann problems and 2D supersonic jets)Modeling the drift-diffusion equations with TRBDF2 and PCGSolving the classical hydrodynamic model (electro-gas dynamics) with WENO3 and TRBDF2The book features 34 original MATLAB programs illustrating each numerical method and includes 93 problems that confirm results discussed in the text and explore new directions. Additionally, it suggests eight semester-long projects.  This comprehensive text can serve as the basis for a one-semester graduate course on the numerical solution of partial differential equations, or, with some advanced material omitted, for a one-semester junior/senior or graduate course on the numerical solution of ordinary and partial differential equations. The topics and programs will be of interest to applied mathematicians, engineers, physicists, biologists, chemists, and more.  
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 216
ISBN-13: 9783031696299
Indbinding: Hardback
Udgave:
ISBN-10: 3031696298
Kategori: Differentialregning & ligninger
Udg. Dato: 22 okt 2024
Længde: 20mm
Bredde: 162mm
Højde: 241mm
Forlag: Springer International Publishing AG
Oplagsdato: 22 okt 2024
Forfatter(e): Carl L. Gardner
Forfatter(e) Carl L. Gardner

Kategori Differentialregning & ligninger

ISBN-13 9783031696299

Sprog Engelsk

Indbinding Hardback

Sider 216

Udgave

Længde 20mm

Bredde 162mm

Højde 241mm

Udg. Dato 22 okt 2024

Oplagsdato 22 okt 2024

Forlag Springer International Publishing AG