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Interface problems using the Fokas m...

Sheils, Natalie Elizabeth,

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Interface problems using the Fokas method /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Interface problems using the Fokas method // Natalie Elizabeth Sheils.
Author:	Sheils, Natalie Elizabeth,
Description:	1 electronic resource (211 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 77-04, Section: B.
Contained By:	Dissertations Abstracts International77-04B.
Subject:	Mathematics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3725116
ISBN:	9781339090528

Interface problems using the Fokas method /
Sheils, Natalie Elizabeth,

Interface problems using the Fokas method /Natalie Elizabeth Sheils. - 1 electronic resource (211 pages)

Source: Dissertations Abstracts International, Volume: 77-04, Section: B.

Interface problems for partial differential equations are initial boundary value problems for which the solution of an equation in one domain prescribes boundary conditions for the equations in adjacent domains. These types of problems occur widely in applications including heat transfer, quantum mechanics, and mathematical biology. These problems, though linear, are often not solvable analytically using classical approaches. In this dissertation I present an extension of the Fokas Method appropriate for solving these types of problems. I consider problems with both dissipative and dispersive behavior and consider general boundary and interface conditions. An analog for the Dirichlet to Neumann map for interface problems is also constructed.

English

ISBN: 9781339090528Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Fokas method

Interface problems using the Fokas method /
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020 $a 9781339090528
035 $a (MiAaPQD)AAI3725116
035 $a (MiAaPQD)washington:13826
035 $a AAI3725116
040 $a MiAaPQD $b eng $c MiAaPQD $e rda
100 1 $a Sheils, Natalie Elizabeth, $e author. $3 3824007
245 1 0 $a Interface problems using the Fokas method / $c Natalie Elizabeth Sheils.
264 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2015
300 $a 1 electronic resource (211 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertations Abstracts International, Volume: 77-04, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
500 $a Advisors: Deconinck, Bernard Committee members: Adams, Loyce; Bretherton, Chris; O'Malley, Robert E.; Sylvester, John.
502 $b Ph.D. $c University of Washington $d 2015.
520 $a Interface problems for partial differential equations are initial boundary value problems for which the solution of an equation in one domain prescribes boundary conditions for the equations in adjacent domains. These types of problems occur widely in applications including heat transfer, quantum mechanics, and mathematical biology. These problems, though linear, are often not solvable analytically using classical approaches. In this dissertation I present an extension of the Fokas Method appropriate for solving these types of problems. I consider problems with both dissipative and dispersive behavior and consider general boundary and interface conditions. An analog for the Dirichlet to Neumann map for interface problems is also constructed.
546 $a English
590 $a School code: 0250
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical physics. $3 2144760
650 4 $a Applied mathematics. $3 2122814
653 $a Fokas method
653 $a Heat equation
653 $a Interface problems
653 $a Partial differential equations
653 $a Unified transform method
690 $a 0364
690 $a 0405
690 $a 0753
710 2 $a University of Washington. $b Applied Mathematics. $e degree granting institution. $3 3824008
720 1 $a Deconinck, Bernard $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 77-04B.
790 $a 0250
791 $a Ph.D.
792 $a 2015
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3725116