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Medientyp:
Buch
Titel:
Elements of partial differential equations
Enthält:
Motivation, derivation of basic mathematical models -- Classification, types of equations, boundary and initial conditions -- Linear partial differential equations of the first order -- Wave equation in one spatial variable - Cauchy problem -- Diffusion equation in one spatial variable - Cauchy problem in R -- Laplace and Poisson equations in two dimensions -- Solutions of initial boundary value problems for evolution equations -- Solutions of boundary value problems for stationary equations -- Methods of integral transforms -- General principles -- Laplace and Poisson equations in higher dimensions -- Diffusion equation in higher dimensions -- Wave equations in higher dimensions -- Sturm-Liouville problem -- Bessel functions