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Multiplication of distributions: a tool in mathematics, numerical engineering and theoretical physics

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...

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Detalles Bibliográficos
Autor principal: Colombeau, Jean François
Lenguaje:eng
Publicado: Springer 1992
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0088952
http://cds.cern.ch/record/1691530
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author Colombeau, Jean François
author_facet Colombeau, Jean François
author_sort Colombeau, Jean François
collection CERN
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).
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spelling cern-16915302021-04-21T21:09:10Zdoi:10.1007/BFb0088952http://cds.cern.ch/record/1691530engColombeau, Jean FrançoisMultiplication of distributions: a tool in mathematics, numerical engineering and theoretical physicsMathematical Physics and MathematicsThis 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).Springeroai:cds.cern.ch:16915301992
spellingShingle Mathematical Physics and Mathematics
Colombeau, Jean François
Multiplication of distributions: a tool in mathematics, numerical engineering and theoretical physics
title Multiplication of distributions: a tool in mathematics, numerical engineering and theoretical physics
title_full Multiplication of distributions: a tool in mathematics, numerical engineering and theoretical physics
title_fullStr Multiplication of distributions: a tool in mathematics, numerical engineering and theoretical physics
title_full_unstemmed Multiplication of distributions: a tool in mathematics, numerical engineering and theoretical physics
title_short Multiplication of distributions: a tool in mathematics, numerical engineering and theoretical physics
title_sort multiplication of distributions: a tool in mathematics, numerical engineering and theoretical physics
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0088952
http://cds.cern.ch/record/1691530
work_keys_str_mv AT colombeaujeanfrancois multiplicationofdistributionsatoolinmathematicsnumericalengineeringandtheoreticalphysics