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18.336 Numerical Methods of Applied Mathematics II, Spring 2005

dc.contributor.authorKoev, Plamen S.
dc.coverage.temporalSpring 2005
dc.date.accessioned2010-07-15T17:17:55Z
dc.date.available2010-07-15T17:17:55Z
dc.date.issued2005-06
dc.identifier18.336-Spring2005
dc.identifier.other18.336
dc.identifier.otherIMSCP-MD5-858caba6e5a2ca953725f52b5a7190dd
dc.identifier.urihttp://hdl.handle.net/1721.1/56567
dc.description.abstractAdvanced introduction to applications and theory of numerical methods for solution of differential equations, especially of physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods. Topics include finite differences, spectral methods, finite elements, well-posedness and stability, particle methods and lattice gases, boundary and nonlinear instabilities. From the course home page: Course Description This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations. In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods.en
dc.language.isoen-US
dc.relation.isbasedonhttp://hdl.handle.net/1721.1/36900
dc.rightsThis site (c) Massachusetts Institute of Technology 2003. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license"). The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions.en
dc.subjectLinear systemsen
dc.subjectFast Fourier Transformen
dc.subjectWave equationen
dc.subjectVon Neumann analysisen
dc.subjectConditions for stabilityen
dc.subjectDissipationen
dc.subjectMultistep schemesen
dc.subjectDispersionen
dc.subjectGroup Velocityen
dc.subjectPropagation of Wave Packetsen
dc.subjectParabolic Equationsen
dc.subjectThe Du Fort Frankel Schemeen
dc.subjectConvection-Diffusion equationen
dc.subjectADI Methodsen
dc.subjectElliptic Equationsen
dc.subjectJacobi, Gauss-Seidel and SOR(w)en
dc.subjectODEsen
dc.subjectfinite differencesen
dc.subjectspectral methodsen
dc.subjectwell-posedness and stabilityen
dc.subjectboundary and nonlinear instabilitiesen
dc.subjectFinite Difference Schemesen
dc.subjectPartial Differential Equationsen
dc.title18.336 Numerical Methods of Applied Mathematics II, Spring 2005en
dc.title.alternativeNumerical Methods of Applied Mathematics IIen
dc.typeLearning Object
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematics
dc.audience.educationlevelGraduate
dc.subject.cip270301en
dc.subject.cipApplied Mathematicsen
dc.date.updated2010-07-15T17:17:56Z


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