Multiplication of distributions : a tool in mathematics, numerical engineering, and theoretical physics
著者
書誌事項
Multiplication of distributions : a tool in mathematics, numerical engineering, and theoretical physics
（Lecture notes in mathematics, 1532）
Springer-Verlag, c1992
- : gw
- : us
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注記
Bibliography: p. [172]-183
Includes index
内容説明・目次
内容説明
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).
目次
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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