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Partial differential equations

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Standard

Partial differential equations. / Piche, Robert.

Tampere : Tampere University of Technology, 2010. (MAT-51316).

Tutkimustuotos

Harvard

Piche, R 2010, Partial differential equations. MAT-51316, Tampere University of Technology, Tampere.

APA

Piche, R. (2010). Partial differential equations. (MAT-51316). Tampere: Tampere University of Technology.

Vancouver

Piche R. Partial differential equations. Tampere: Tampere University of Technology, 2010. (MAT-51316).

Author

Piche, Robert. / Partial differential equations. Tampere : Tampere University of Technology, 2010. (MAT-51316).

Bibtex - Lataa

@book{4e0cc4bba8794f2ea3a12c37da5e3ae4,
title = "Partial differential equations",
abstract = "Partial differential equations (PDEs) are used to model physical phenomena involving continua, such as fluid dynamics, electromagnetic fields, acoustics, gravitation, and quantum mechanics. They also arise as mathematical models of other multivariate phenomena, for example in mathematical finance. These course notes present derivations of the basic linear PDEs (transport, heat/diffusion, wave, Laplace) and explain how they model physical phenomena. Standard analytical solution methods (separation of variables, Dirichlet's principle, Green's functions) and general theorems about solution properties are presented. Numerical PDE solution packages in Matlab and Maple are briefly introduced. Additional course materials (including exercises and recorded lectures) are available at the author's home page http://math.tut.fi/~piche/pde",
author = "Robert Piche",
note = "Contribution: organisation=mat,FACT1=1",
year = "2010",
language = "English",
series = "MAT-51316",
publisher = "Tampere University of Technology",

}

RIS (suitable for import to EndNote) - Lataa

TY - BOOK

T1 - Partial differential equations

AU - Piche, Robert

N1 - Contribution: organisation=mat,FACT1=1

PY - 2010

Y1 - 2010

N2 - Partial differential equations (PDEs) are used to model physical phenomena involving continua, such as fluid dynamics, electromagnetic fields, acoustics, gravitation, and quantum mechanics. They also arise as mathematical models of other multivariate phenomena, for example in mathematical finance. These course notes present derivations of the basic linear PDEs (transport, heat/diffusion, wave, Laplace) and explain how they model physical phenomena. Standard analytical solution methods (separation of variables, Dirichlet's principle, Green's functions) and general theorems about solution properties are presented. Numerical PDE solution packages in Matlab and Maple are briefly introduced. Additional course materials (including exercises and recorded lectures) are available at the author's home page http://math.tut.fi/~piche/pde

AB - Partial differential equations (PDEs) are used to model physical phenomena involving continua, such as fluid dynamics, electromagnetic fields, acoustics, gravitation, and quantum mechanics. They also arise as mathematical models of other multivariate phenomena, for example in mathematical finance. These course notes present derivations of the basic linear PDEs (transport, heat/diffusion, wave, Laplace) and explain how they model physical phenomena. Standard analytical solution methods (separation of variables, Dirichlet's principle, Green's functions) and general theorems about solution properties are presented. Numerical PDE solution packages in Matlab and Maple are briefly introduced. Additional course materials (including exercises and recorded lectures) are available at the author's home page http://math.tut.fi/~piche/pde

M3 - Commissioned report

T3 - MAT-51316

BT - Partial differential equations

PB - Tampere University of Technology

CY - Tampere

ER -