Jean F. Colombeau

Multiplication of Distributions

A tool in mathematics, numerical engineering and theoretical physics

• Broschiertes Buch

Produktbeschreibung

This book presents recent and very elementary developmentsof a theory of multiplication of distributions in the fieldof explicit and numerical solutions of systems of PDEs ofphysics (nonlinear elasticity, elastoplasticity,hydrodynamics, multifluid flows, acoustics). Theprerequisites are kept to introductory calculus level sothat the book remains accessible at the same time to puremathematicians (as a smoothand somewhat heuristicintrodcution to this theory) and to applied mathematicians,numerical engineers and theoretical physicists (as a tool totreat problems involving products of distributions).

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Produktdetails

• Lecture Notes in Mathematics 1532
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-56288-7
• 1992.
• Seitenzahl: 196
• Erscheinungstermin: 14. Dezember 1992
• Englisch
• Abmessung: 235mm x 155mm x 11mm
• Gewicht: 304g
• ISBN-13: 9783540562887
• ISBN-10: 3540562885
• Artikelnr.: 23888053

Inhaltsangabe

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.