18.303 Linear Partial Differential Equations: Analysis and Numerics, Fall 2010
This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analog...
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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/1721.1/97715 |
| _version_ | 1826194812683943936 |
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| author | Johnson, Steven G. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Johnson, Steven G. |
| author_sort | Johnson, Steven G. |
| collection | MIT |
| description | This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems. |
| first_indexed | 2024-09-23T10:02:11Z |
| format | Learning Object |
| id | mit-1721.1/97715 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2025-03-10T08:24:49Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | mit-1721.1/977152025-02-24T15:06:50Z 18.303 Linear Partial Differential Equations: Analysis and Numerics, Fall 2010 Linear Partial Differential Equations: Analysis and Numerics Johnson, Steven G. Massachusetts Institute of Technology. Department of Mathematics diffusion Laplace equations Poisson wave equations separation of variables Fourier series Fourier transforms eigenvalue problems Green's function Heat Equation Sturm-Liouville Eigenvalue problems quasilinear PDEs Bessel functionsORDS This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix problems. 2010-12 Learning Object 18.303-Fall2010 local: 18.303 local: IMSCP-MD5-db0e8fb9184ce4fd99f462c61816c6be http://hdl.handle.net/1721.1/97715 en-US Usage Restrictions: This site (c) Massachusetts Institute of Technology 2015. 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") unless otherwise noted. 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. Usage Restrictions: Attribution-NonCommercial-ShareAlike 3.0 Unported http://creativecommons.org/licenses/by-nc-sa/3.0/ text/html Fall 2010 |
| spellingShingle | diffusion Laplace equations Poisson wave equations separation of variables Fourier series Fourier transforms eigenvalue problems Green's function Heat Equation Sturm-Liouville Eigenvalue problems quasilinear PDEs Bessel functionsORDS Johnson, Steven G. 18.303 Linear Partial Differential Equations: Analysis and Numerics, Fall 2010 |
| title | 18.303 Linear Partial Differential Equations: Analysis and Numerics, Fall 2010 |
| title_full | 18.303 Linear Partial Differential Equations: Analysis and Numerics, Fall 2010 |
| title_fullStr | 18.303 Linear Partial Differential Equations: Analysis and Numerics, Fall 2010 |
| title_full_unstemmed | 18.303 Linear Partial Differential Equations: Analysis and Numerics, Fall 2010 |
| title_short | 18.303 Linear Partial Differential Equations: Analysis and Numerics, Fall 2010 |
| title_sort | 18 303 linear partial differential equations analysis and numerics fall 2010 |
| topic | diffusion Laplace equations Poisson wave equations separation of variables Fourier series Fourier transforms eigenvalue problems Green's function Heat Equation Sturm-Liouville Eigenvalue problems quasilinear PDEs Bessel functionsORDS |
| url | http://hdl.handle.net/1721.1/97715 |
| work_keys_str_mv | AT johnsonsteveng 18303linearpartialdifferentialequationsanalysisandnumericsfall2010 AT johnsonsteveng linearpartialdifferentialequationsanalysisandnumerics |