{"id":669,"date":"2017-05-13T06:35:09","date_gmt":"2017-05-13T11:35:09","guid":{"rendered":"https:\/\/charles-oneill.com\/blog\/?p=669"},"modified":"2019-01-20T19:52:26","modified_gmt":"2019-01-21T01:52:26","slug":"ges-554-partial-differential-equations","status":"publish","type":"post","link":"https:\/\/charles-oneill.com\/blog\/ges-554-partial-differential-equations\/","title":{"rendered":"GES 554: Partial Differential Equations"},"content":{"rendered":"\n

At the University of Alabama, I taught the GES 554 course Partial Differential Equations from 2014-2017. The course investigated theory, classification, formulation, relevancy, analysis, and solutions of PDEs. Both analytical and computational methods were studied with a special focus on PDEs commonly seen in engineering.<\/p>\n\n\n\n

Textbook<\/strong>: Partial Differential Equations for Scientists and Engineers, S. Farlow, Dover ($12 from Amazon) Reviewed here<\/a><\/p>\n\n\n\n

Notes<\/strong>: The course notes are available for free <\/em>at: https:\/\/charles-oneill.com\/ges554\/<\/a>.<\/p>\n\n\n\n

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2D Wave Equation on a square domain<\/figcaption><\/figure><\/div>\n\n\n\n

Topics<\/strong>: The class covered all lessons and problems in Farlow\u2019s book with selected topics and sources supplemented as necessary. <\/p>\n\n\n\n

  • Classification and canonical forms<\/li>
  • Parabolic and diffusion equations, Laplace and Fourier methods<\/li>
  • Elliptic, BVP equations, Green\u2019s functions<\/li>
  • Hyperbolic, wave, and non-linear conservation equations<\/li>
  • Numerical and approximate methods<\/li>
  • Error analysis and verification & validation<\/li>
  • Monte Carlo, perturbation and conformal mapping methods <\/li>
  • Topics at instructor’s discretion<\/li><\/ul>\n\n\n\n
    \"\"
    1D Heat Equation with a Fourier Expansion<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"

    At the University of Alabama, I taught the GES 554 course Partial Differential Equations from 2014-2017. The course investigated theory, classification, formulation, relevancy, analysis, and solutions of PDEs. Both analytical and computational methods were studied with a special focus on PDEs commonly seen in engineering. Textbook: Partial Differential Equations for Scientists and Engineers, S. Farlow, […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/669"}],"collection":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/comments?post=669"}],"version-history":[{"count":5,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/669\/revisions"}],"predecessor-version":[{"id":680,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/669\/revisions\/680"}],"wp:attachment":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/media?parent=669"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/categories?post=669"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/tags?post=669"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}