18.306 Advanced Partial Differential Equations with Applications, Spring 2004
A comprehensive treatment of the theory of partial differential equations (pde) from an applied mathematics perspective. Equilibrium, propagation, diffusion, and other phenomena. Initial and boundary value problems. Transform methods, eigenvalue and eigenfunction expansions, Green's functions....
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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/1721.1/56302 |
| _version_ | 1826209479626063872 |
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| author | Margetis, Dionisios |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Margetis, Dionisios |
| author_sort | Margetis, Dionisios |
| collection | MIT |
| description | A comprehensive treatment of the theory of partial differential equations (pde) from an applied mathematics perspective. Equilibrium, propagation, diffusion, and other phenomena. Initial and boundary value problems. Transform methods, eigenvalue and eigenfunction expansions, Green's functions. Theory of characteristics and shocks. Boundary layers and other singular perturbation phenomena. Elementary concepts for the numerical solution of pde's. Illustrative examples from fluid dynamics, nonlinear waves, geometrical optics, and other applications. |
| first_indexed | 2024-09-23T14:23:10Z |
| format | Learning Object |
| id | mit-1721.1/56302 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2025-03-10T12:17:57Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/563022025-02-24T15:02:17Z 18.306 Advanced Partial Differential Equations with Applications, Spring 2004 Advanced Partial Differential Equations with Applications Margetis, Dionisios Massachusetts Institute of Technology. Department of Mathematics partial differential equations (pde) nonlinear pde Diffusion dispersion Initial and boundary value problems Characteristics and shocks Separation of variables transform methods Green's functions Asymptotics geometrical theory Dimensional analysis self-similarity traveling waves Singular perturbation and boundary layers Solitons Variational methods Free-boundary problems fluid dynamics electrical engineering mechanical engineering materials science quantum mechanics A comprehensive treatment of the theory of partial differential equations (pde) from an applied mathematics perspective. Equilibrium, propagation, diffusion, and other phenomena. Initial and boundary value problems. Transform methods, eigenvalue and eigenfunction expansions, Green's functions. Theory of characteristics and shocks. Boundary layers and other singular perturbation phenomena. Elementary concepts for the numerical solution of pde's. Illustrative examples from fluid dynamics, nonlinear waves, geometrical optics, and other applications. 2004-06 Learning Object 18.306-Spring2004 local: 18.306 local: IMSCP-MD5-69c946018adbaeba7014e807b79f34c3 http://hdl.handle.net/1721.1/56302 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 Spring 2004 |
| spellingShingle | partial differential equations (pde) nonlinear pde Diffusion dispersion Initial and boundary value problems Characteristics and shocks Separation of variables transform methods Green's functions Asymptotics geometrical theory Dimensional analysis self-similarity traveling waves Singular perturbation and boundary layers Solitons Variational methods Free-boundary problems fluid dynamics electrical engineering mechanical engineering materials science quantum mechanics Margetis, Dionisios 18.306 Advanced Partial Differential Equations with Applications, Spring 2004 |
| title | 18.306 Advanced Partial Differential Equations with Applications, Spring 2004 |
| title_full | 18.306 Advanced Partial Differential Equations with Applications, Spring 2004 |
| title_fullStr | 18.306 Advanced Partial Differential Equations with Applications, Spring 2004 |
| title_full_unstemmed | 18.306 Advanced Partial Differential Equations with Applications, Spring 2004 |
| title_short | 18.306 Advanced Partial Differential Equations with Applications, Spring 2004 |
| title_sort | 18 306 advanced partial differential equations with applications spring 2004 |
| topic | partial differential equations (pde) nonlinear pde Diffusion dispersion Initial and boundary value problems Characteristics and shocks Separation of variables transform methods Green's functions Asymptotics geometrical theory Dimensional analysis self-similarity traveling waves Singular perturbation and boundary layers Solitons Variational methods Free-boundary problems fluid dynamics electrical engineering mechanical engineering materials science quantum mechanics |
| url | http://hdl.handle.net/1721.1/56302 |
| work_keys_str_mv | AT margetisdionisios 18306advancedpartialdifferentialequationswithapplicationsspring2004 AT margetisdionisios advancedpartialdifferentialequationswithapplications |