TY  - BOOK
AU  - Colombeau,Jean François
ED  - SpringerLink (Online service)
TI  - Multiplication of Distributions: A tool in mathematics, numerical engineering and theoretical physics 
T2  - Lecture Notes in Mathematics,
SN  - 9783540475101
AV  - QA299.6-433 
U1  - 515 23
PY  - 1992///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Global analysis (Mathematics)
KW  - Analysis
N1  - 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
N2  - 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)
UR  - http://dx.doi.org/10.1007/BFb0088952
ER  -