18.336 Numerical Methods of Applied Mathematics II, Spring 2005
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, finit...
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| Format: | Learning Object |
| Language: | en-US |
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2010
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| Online Access: | http://hdl.handle.net/1721.1/56567 |
| _version_ | 1826212077377683456 |
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| author | Koev, Plamen S. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Koev, Plamen S. |
| author_sort | Koev, Plamen S. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T15:16:03Z |
| format | Learning Object |
| id | mit-1721.1/56567 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2025-03-10T12:59:14Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | mit-1721.1/565672025-02-24T14:57:37Z 18.336 Numerical Methods of Applied Mathematics II, Spring 2005 Numerical Methods of Applied Mathematics II Koev, Plamen S. Massachusetts Institute of Technology. Department of Mathematics Linear systems Fast Fourier Transform Wave equation Von Neumann analysis Conditions for stability Dissipation Multistep schemes Dispersion Group Velocity Propagation of Wave Packets Parabolic Equations The Du Fort Frankel Scheme Convection-Diffusion equation ADI Methods Elliptic Equations Jacobi, Gauss-Seidel and SOR(w) ODEs finite differences spectral methods well-posedness and stability boundary and nonlinear instabilities Finite Difference Schemes Partial Differential Equations 270301 Applied Mathematics 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. 2010-07-15T17:17:55Z 2010-07-15T17:17:55Z 2005-06 2010-07-15T17:17:56Z Learning Object 18.336-Spring2005 18.336 IMSCP-MD5-858caba6e5a2ca953725f52b5a7190dd http://hdl.handle.net/1721.1/56567 en-US http://hdl.handle.net/1721.1/36900 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. text/html Spring 2005 |
| spellingShingle | Linear systems Fast Fourier Transform Wave equation Von Neumann analysis Conditions for stability Dissipation Multistep schemes Dispersion Group Velocity Propagation of Wave Packets Parabolic Equations The Du Fort Frankel Scheme Convection-Diffusion equation ADI Methods Elliptic Equations Jacobi, Gauss-Seidel and SOR(w) ODEs finite differences spectral methods well-posedness and stability boundary and nonlinear instabilities Finite Difference Schemes Partial Differential Equations 270301 Applied Mathematics Koev, Plamen S. 18.336 Numerical Methods of Applied Mathematics II, Spring 2005 |
| title | 18.336 Numerical Methods of Applied Mathematics II, Spring 2005 |
| title_full | 18.336 Numerical Methods of Applied Mathematics II, Spring 2005 |
| title_fullStr | 18.336 Numerical Methods of Applied Mathematics II, Spring 2005 |
| title_full_unstemmed | 18.336 Numerical Methods of Applied Mathematics II, Spring 2005 |
| title_short | 18.336 Numerical Methods of Applied Mathematics II, Spring 2005 |
| title_sort | 18 336 numerical methods of applied mathematics ii spring 2005 |
| topic | Linear systems Fast Fourier Transform Wave equation Von Neumann analysis Conditions for stability Dissipation Multistep schemes Dispersion Group Velocity Propagation of Wave Packets Parabolic Equations The Du Fort Frankel Scheme Convection-Diffusion equation ADI Methods Elliptic Equations Jacobi, Gauss-Seidel and SOR(w) ODEs finite differences spectral methods well-posedness and stability boundary and nonlinear instabilities Finite Difference Schemes Partial Differential Equations 270301 Applied Mathematics |
| url | http://hdl.handle.net/1721.1/56567 |
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