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Autor(en): 
  • Omar Eduardo Ortiz
  • Heinz-Otto (University of California at Los Angele
  • Introduction to Numerical Methods for Time Dependent Differential Equations 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht

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    Lieferstatus:   i.d.R. innert 14-24 Tagen versandfertig
    Veröffentlichung:  Mai 2014  
    Genre:  Schulbücher 
     
    Angewandte Mathematik / Applied mathematics / Differentialgleichung / Electrical & Electronics Engineering / Elektrotechnik u. Elektronik / Mathematics / Mathematik / Numerical Methods / Numerical Methods & Algorithms / numerische Methoden / Numerische Methoden u. Algorithmen
    ISBN:  9781118838952 
    EAN-Code: 
    9781118838952 
    Verlag:  John Wiley & Sons Inc 
    Einband:  Gebunden  
    Sprache:  English  
    Dimensionen:  H 161 mm / B 237 mm / D 17 mm 
    Gewicht:  436 gr 
    Seiten:  192 
    Bewertung: Titel bewerten / Meinung schreiben
    Inhalt:
    Introduces both the fundamentals of time dependent differential equations and their numerical solutions Introduction to Numerical Methods for Time Dependent Differential Equations delves into the underlying mathematical theory needed to solve time dependent differential equations numerically. Written as a self-contained introduction, the book is divided into two parts to emphasize both ordinary differential equations (ODEs) and partial differential equations (PDEs). Beginning with ODEs and their approximations, the authors provide a crucial presentation of fundamental notions, such as the theory of scalar equations, finite difference approximations, and the Explicit Euler method. Next, a discussion on higher order approximations, implicit methods, multistep methods, Fourier interpolation, PDEs in one space dimension as well as their related systems is provided. Introduction to Numerical Methods for Time Dependent Differential Equations features: * A step-by-step discussion of the procedures needed to prove the stability of difference approximations * Multiple exercises throughout with select answers, providing readers with a practical guide to understanding the approximations of differential equations * A simplified approach in a one space dimension * Analytical theory for difference approximations that is particularly useful to clarify procedures Introduction to Numerical Methods for Time Dependent Differential Equations is an excellent textbook for upper-undergraduate courses in applied mathematics, engineering, and physics as well as a useful reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs or predict and investigate phenomena from many disciplines.

      



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