18.303 Linear Partial Differential Equations, Fall 2004
The classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. Methods of solution, such as separation of variables, Fourier series and transforms, eigenvalue problems. Green's function methods are emphasized. 18.04 or 18.112 are useful, as...
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| Format: | Learning Object |
| Language: | en-US |
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2004
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| Online Access: | http://hdl.handle.net/1721.1/36869 |
| _version_ | 1826216666419167232 |
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| author | Hancock, Matthew James, 1975- |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Hancock, Matthew James, 1975- |
| author_sort | Hancock, Matthew James, 1975- |
| collection | MIT |
| description | The classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. Methods of solution, such as separation of variables, Fourier series and transforms, eigenvalue problems. Green's function methods are emphasized. 18.04 or 18.112 are useful, as well as previous acquaintance with the equations as they arise in scientific applications. |
| first_indexed | 2024-09-23T16:51:27Z |
| format | Learning Object |
| id | mit-1721.1/36869 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2025-03-10T14:12:10Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/368692025-02-24T14:57:40Z 18.303 Linear Partial Differential Equations, Fall 2004 Linear Partial Differential Equations Hancock, Matthew James, 1975- 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 functions The classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. Methods of solution, such as separation of variables, Fourier series and transforms, eigenvalue problems. Green's function methods are emphasized. 18.04 or 18.112 are useful, as well as previous acquaintance with the equations as they arise in scientific applications. 2004-12 Learning Object 18.303-Fall2004 local: 18.303 local: IMSCP-MD5-a91f65185de5d4d269e122a922b96748 http://hdl.handle.net/1721.1/36869 en-US Usage Restrictions: 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 Fall 2004 |
| 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 functions Hancock, Matthew James, 1975- 18.303 Linear Partial Differential Equations, Fall 2004 |
| title | 18.303 Linear Partial Differential Equations, Fall 2004 |
| title_full | 18.303 Linear Partial Differential Equations, Fall 2004 |
| title_fullStr | 18.303 Linear Partial Differential Equations, Fall 2004 |
| title_full_unstemmed | 18.303 Linear Partial Differential Equations, Fall 2004 |
| title_short | 18.303 Linear Partial Differential Equations, Fall 2004 |
| title_sort | 18 303 linear partial differential equations fall 2004 |
| 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 functions |
| url | http://hdl.handle.net/1721.1/36869 |
| work_keys_str_mv | AT hancockmatthewjames1975 18303linearpartialdifferentialequationsfall2004 AT hancockmatthewjames1975 linearpartialdifferentialequations |