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dc.contributor.authorBazant, Martin Z.
dc.coverage.temporalSpring 2006
dc.date.accessioned2010-06-10T07:19:05Z
dc.date.available2010-06-10T07:19:05Z
dc.date.issued2006-06
dc.identifier18.311-Spring2006
dc.identifier.other18.311
dc.identifier.otherIMSCP-MD5-0ae8ae4afdfd8b56455eb06962b5f660
dc.identifier.urihttp://hdl.handle.net/1721.1/55891
dc.description.abstractIntroduction to fundamental concepts in "continuous" applied mathematics. Extensive use of demonstrational software. Discussion of computational and modelling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; conservation laws; first-order partial differential equations; finite differences; numerical stability; etc. Applications to traffic problems, flows in rivers, internal waves, mechanical vibrations and other problems in the physical world. From the course home page: Course Description This course introduces fundamental concepts in "continuous'' applied mathematics, with an emphasis on nonlinear partial differential equations (PDEs). Topics include linear and nonlinear waves: kinematic waves, method of characteristics, expansion fans, wave breaking, shock dynamics, shock structure; linear and nonlinear diffusion: Green functions, Fourier transform, similarity solutions, boundary layers, Nernst-Planck equations. Applications include traffic flow, gas dynamics, and granular flow.en
dc.language.isoen-US
dc.relation.isbasedonhttp://hdl.handle.net/1721.1/34883
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 and nonlinear wavesen
dc.subjecthyperbolic wavesen
dc.subjectkinematic wavesen
dc.subjectexpansion fansen
dc.subjectshock dynamicsen
dc.subjectshock structureen
dc.subjectLinear diffusionen
dc.subjectnonlinear diffusionen
dc.subjectGreen functionsen
dc.subjectFourier transformen
dc.subjectdimensional analysisen
dc.subjectsimilarity solutionsen
dc.subjectboundary layersen
dc.subjecttraffic flowen
dc.subjectgas dynamicsen
dc.subjecttsunamisen
dc.subjectheat transferen
dc.subjection transporten
dc.subjectgranular flowen
dc.title18.311 Principles of Applied Mathematics, Spring 2006en
dc.title.alternativePrinciples of Applied Mathematicsen
dc.typeLearning Object
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematics
dc.audience.educationlevelUndergraduate
dc.subject.cip270301en
dc.subject.cipApplied Mathematicsen


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