Multiplication of Distributions: A tool in mathematics, numerical engineering and theoretical physics: 1532 - Brossura

Colombeau, Jean F.

Brossura

ISBN 10: 3540562885 ISBN 13: 9783540562887

Casa editrice: Springer, 2009

Riassunto

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).

Su questo libro

Contenuti

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.

Product Description

Book by Colombeau Jean F

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 3540562885
• ISBN 13: 9783540562887
• Rilegatura: Copertina flessibile
• Numero di pagine: 196
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania