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Numerical Continuum Mechanics

Vladimir N. Kukudzhanov (Autor)

Buch | Hardcover

XVIII, 429 Seiten

2012
De Gruyter (Verlag)
978-3-11-027322-9 (ISBN)

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Inhaltsverzeichnis (PDF)

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The DeGruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They also can serve as secondary reading for lectures and seminars at advanced levels.

The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.

Vladimir N. Kukudzhanov, Ishlinsky Institute for Problems in Mechanics, Russia.

Preface
Notation

Part I. Basic equations of continuum mechanics
Chapter 1. Basic equations of continuum media

Part II. Theory of finite-difference schemes
Chapter 2. The basics of the theory of finite-difference schemes
Chapter 3. Methods for solving systems of algebraic equations
Chapter 4. Methods for solving boundary value problems for systems of differential equations

Part III. Finite-difference methods for solving nonlinear evolution equations of continuum
mechanics
Chapter 5. Wave propagation problems
Chapter 6. Finite-difference splitting method for solving dynamic and quasistatic boundary value
problems
Chapter 7. Solution of elastoplastic dynamic and quasistatic problems with finite deformations

References

Erscheint lt. Verlag	13.12.2012
Reihe/Serie	De Gruyter Studies in Mathematical Physics ; 15
Übersetzer	Alexei Zhurov
Zusatzinfo	96 b/w ill., 2 b/w tbl., Num. figs
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	868 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	computational methods • Continuum • Continuum Thermomechanics • Engineering • Kontinuumsmechanik • Mechanics • Numerische Mathematik • theoretical mechanics • Theoretical Mechanics; Computational Methods; Continuum Thermomechanics
ISBN-10	3-11-027322-5 / 3110273225
ISBN-13	978-3-11-027322-9 / 9783110273229
Zustand	Neuware