Numerical Solutions for Partial Differential Equations

Problem Solving Using Mathematica

Victor Grigor'e Ganzha, Evgenii Vasilev Vorozhtsov (Autoren)

Buch | Softcover

347 Seiten

2019
CRC Press (Verlag)
978-0-367-44850-9 (ISBN)

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This book describes the applications of Mathematica for the numerical solution of all classical types (hyperbolic, parabolic, and elliptic) of the partial differential equations of mathematical physics.

Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide-ranging use in numerical models that are developed in order to analyze systems that are not otherwise easily studied. Numerical Solutions for Partial Differential Equations contains all the details necessary for the reader to understand the principles and applications of advanced numerical methods for solving PDEs. In addition, it shows how the modern computer system algebra Mathematica® can be used for the analytic investigation of such numerical properties as stability, approximation, and dispersion.

Ganzha, Victor Grigor'e; Vorozhtsov, Evgenii Vasilev

1. Introduction to Mathematica 2. Finite Difference Methods for Hyperbolic PDEs 3. Finite Difference Methods for Parabolic PDEs 4. Numerical Methods for Elliptic PDEs

Erscheinungsdatum	03.12.2019
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	453 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Technik ► Umwelttechnik / Biotechnologie
ISBN-10	0-367-44850-5 / 0367448505
ISBN-13	978-0-367-44850-9 / 9780367448509
Zustand	Neuware