| dc.contributor.author | Johnson, Steven G. | en_US |
| dc.coverage.temporal | Fall 2010 | en_US |
| dc.date.issued | 2010-12 | |
| dc.identifier | 18.303-Fall2010 | |
| dc.identifier | local: 18.303 | |
| dc.identifier | local: IMSCP-MD5-db0e8fb9184ce4fd99f462c61816c6be | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/97715 | |
| dc.description.abstract | 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. | en_US |
| dc.language | en-US | en_US |
| dc.rights.uri | 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. | en_US |
| dc.rights.uri | Usage Restrictions: Attribution-NonCommercial-ShareAlike 3.0 Unported | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.subject | diffusion | en_US |
| dc.subject | Laplace equations | en_US |
| dc.subject | Poisson | en_US |
| dc.subject | wave equations | en_US |
| dc.subject | separation of variables | en_US |
| dc.subject | Fourier series | en_US |
| dc.subject | Fourier transforms | en_US |
| dc.subject | eigenvalue problems | en_US |
| dc.subject | Green's function | en_US |
| dc.subject | Heat Equation | en_US |
| dc.subject | Sturm-Liouville Eigenvalue problems | en_US |
| dc.subject | quasilinear PDEs | en_US |
| dc.subject | Bessel functionsORDS | en_US |
| dc.title | 18.303 Linear Partial Differential Equations: Analysis and Numerics, Fall 2010 | en_US |
| dc.title.alternative | Linear Partial Differential Equations: Analysis and Numerics | en_US |
