A look at some methods of solving partial differential equations and eigenvalue problems.

Four techniques for the numerical solution of partial differential equations and eigenvalue problems were investigated. Typical problems considered were elliptic partial differential equations of the form Uxx + Uyy = f(x,y), (1) or Uxx + Uyy + A2U = 0, (2) where appropriate boundary conditions are s...

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Bibliographic Details
Main Author:	Bloxom, Edward Leon
Other Authors:	Faulkner, Frank D.
Language:	en_US
Published:	Monterey, California. Naval Postgraduate School 2012
Online Access:	http://hdl.handle.net/10945/16235

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spelling	ndltd-nps.edu-oai-calhoun.nps.edu-10945-162352014-11-27T16:11:34Z A look at some methods of solving partial differential equations and eigenvalue problems. Bloxom, Edward Leon Faulkner, Frank D. Four techniques for the numerical solution of partial differential equations and eigenvalue problems were investigated. Typical problems considered were elliptic partial differential equations of the form Uxx + Uyy = f(x,y), (1) or Uxx + Uyy + A2U = 0, (2) where appropriate boundary conditions are specified so that the problem is self-adjoint. The four methods are relaxation, Galerkin, Rayleigh- Ritz, and dynamic programming combined with Stodola's method, for eigenvalue problems. The results indicated that for eigenvalue problems relaxation or dynamic programming modified is to be preferred usually and for partial differential equations Galerkin or dynamic programming is preferred. 2012-11-13T23:43:41Z 2012-11-13T23:43:41Z 1972-03 Thesis http://hdl.handle.net/10945/16235 ocn640303714 en_US Monterey, California. Naval Postgraduate School
collection	NDLTD
language	en_US
sources	NDLTD
description	Four techniques for the numerical solution of partial differential equations and eigenvalue problems were investigated. Typical problems considered were elliptic partial differential equations of the form Uxx + Uyy = f(x,y), (1) or Uxx + Uyy + A2U = 0, (2) where appropriate boundary conditions are specified so that the problem is self-adjoint. The four methods are relaxation, Galerkin, Rayleigh- Ritz, and dynamic programming combined with Stodola's method, for eigenvalue problems. The results indicated that for eigenvalue problems relaxation or dynamic programming modified is to be preferred usually and for partial differential equations Galerkin or dynamic programming is preferred.
author2	Faulkner, Frank D.
author_facet	Faulkner, Frank D. Bloxom, Edward Leon
author	Bloxom, Edward Leon
spellingShingle	Bloxom, Edward Leon A look at some methods of solving partial differential equations and eigenvalue problems.
author_sort	Bloxom, Edward Leon
title	A look at some methods of solving partial differential equations and eigenvalue problems.
title_short	A look at some methods of solving partial differential equations and eigenvalue problems.
title_full	A look at some methods of solving partial differential equations and eigenvalue problems.
title_fullStr	A look at some methods of solving partial differential equations and eigenvalue problems.
title_full_unstemmed	A look at some methods of solving partial differential equations and eigenvalue problems.
title_sort	look at some methods of solving partial differential equations and eigenvalue problems.
publisher	Monterey, California. Naval Postgraduate School
publishDate	2012
url	http://hdl.handle.net/10945/16235
work_keys_str_mv	AT bloxomedwardleon alookatsomemethodsofsolvingpartialdifferentialequationsandeigenvalueproblems AT bloxomedwardleon lookatsomemethodsofsolvingpartialdifferentialequationsandeigenvalueproblems
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A look at some methods of solving partial differential equations and eigenvalue problems.

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