Numerical Continuum Mechanics

ISBN-13: 9783110273229 / Angielski / Twarda / 2012 / 447 str.

Vladimir N. Kukudzhanov; Alexei Zhurov

Opis

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.

Spis treści

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

O autorze

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