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18.336 Numerical Methods of Applied Mathematics II, Spring 2005

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dc.contributor.author Koev, Plamen S.
dc.coverage.temporal Spring 2005
dc.date.accessioned 2010-07-15T17:17:55Z
dc.date.available 2010-07-15T17:17:55Z
dc.date.issued 2005-06
dc.identifier 18.336-Spring2005
dc.identifier.other 18.336
dc.identifier.other IMSCP-MD5-858caba6e5a2ca953725f52b5a7190dd
dc.identifier.uri http://hdl.handle.net/1721.1/56567
dc.description.abstract Advanced 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.iso en-US
dc.relation.isbasedon http://hdl.handle.net/1721.1/36900
dc.rights This 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.subject Linear systems en
dc.subject Fast Fourier Transform en
dc.subject Wave equation en
dc.subject Von Neumann analysis en
dc.subject Conditions for stability en
dc.subject Dissipation en
dc.subject Multistep schemes en
dc.subject Dispersion en
dc.subject Group Velocity en
dc.subject Propagation of Wave Packets en
dc.subject Parabolic Equations en
dc.subject The Du Fort Frankel Scheme en
dc.subject Convection-Diffusion equation en
dc.subject ADI Methods en
dc.subject Elliptic Equations en
dc.subject Jacobi, Gauss-Seidel and SOR(w) en
dc.subject ODEs en
dc.subject finite differences en
dc.subject spectral methods en
dc.subject well-posedness and stability en
dc.subject boundary and nonlinear instabilities en
dc.subject Finite Difference Schemes en
dc.subject Partial Differential Equations en
dc.title 18.336 Numerical Methods of Applied Mathematics II, Spring 2005 en
dc.title.alternative Numerical Methods of Applied Mathematics II en
dc.audience.educationlevel Graduate
dc.subject.cip 270301 en
dc.subject.cip Applied Mathematics en
dc.date.updated 2010-07-15T17:17:56Z


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