Multiplication of Distributions
A tool in mathematics, numerical engineering and theoretical physics
Series: Lecture Notes in Mathematics; 1532;
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Product details:
- Edition number 1992
- Publisher Springer Berlin Heidelberg
- Date of Publication 14 December 1992
- Number of Volumes 1 pieces, Book
- ISBN 9783540562887
- Binding Paperback
- No. of pages186 pages
- Size 235x155 mm
- Weight 630 g
- Language English
- Illustrations X, 186 p. 80
Categories
Long description:
This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).
MoreTable of Contents:
to generalized functions and distributions.- Multiplications of distributions in classical physics.- Elementary introduction.- Jump formulas for systems in nonconservative form. New numerical methods.- The case of several constitutive equations.- Linear wave propagation in a medium with piecewise C? characteristics.- The canonical Hamiltonian formalism of interacting quantum fields.- The abstract theory of generalized functions.
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