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  • Carl L. Gardner Applied Numerical Methods for Partial Dif (Hardback) (UK IMPORT)

    • Item No : 116589607378
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      Title: Applied Numerical Methods for Partial Differential Equations
      Condition: New
      Author: Carl L. Gardner
      Format: Hardback
      EAN: 9783031696299
      ISBN: 9783031696299
      Edition: 2024 ed.
      Publisher: Springer International Publishing AG
      Genre: Science Nature & Math
      Topic: Technology & Engineering
      Release Date: 10/22/2024
      Description:

      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 TRBDF2
      • Simulating the nonlinear diffusion equation with TRBDF2
      • Applying Newton’s method and GMRES to the nonlinear Laplace equation
      • Analyzing gas dynamics with WENO3 (1D Riemann problems and 2D supersonic jets)
      • Modeling the drift-diffusion equations with TRBDF2 and PCG
      • Solving the classical hydrodynamic model (electro-gas dynamics) with WENO3 and TRBDF2

      The 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.

       


      Language: English
      Country/Region of Manufacture: CH
      Item Height: 235mm
      Item Length: 155mm
      Series: Texts in Applied Mathematics
      Release Year: 2024

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