{"id":35389,"date":"2025-04-10T21:41:03","date_gmt":"2025-04-10T19:41:03","guid":{"rendered":"http:\/\/mead1.upatras.gr\/?post_type=courses&p=35389"},"modified":"2025-08-29T15:31:52","modified_gmt":"2025-08-29T13:31:52","slug":"computational-methods","status":"publish","type":"courses","link":"https:\/\/mead.upatras.gr\/en\/courses\/computational-methods\/","title":{"rendered":"Computational Methods"},"content":{"rendered":"

COURSE CONTENT<\/strong><\/p>\n

    \n
  1. Algebraic equations root finding and iterative solution methods for non-linear simultaneous equations<\/li>\n
  2. Gaussian elimination, partial pivoting, iterative methods Gauss-Seidel and over-relaxation, algebraic eigenvalue problems<\/li>\n
  3. Numerical integration<\/li>\n
  4. Interpolation and curve fitting<\/li>\n
  5. Numerical solution of ordinary differential equations, Taylor \u2013 Euler \u2013 Runge-Kutta methods \u2013 Midpoint rule \u2013 multistep and predictor-corrector methods<\/li>\n
  6. Numerical instability<\/li>\n
  7. Two-point boundary value problems, finite differences and shooting methods<\/li>\n<\/ol>\n

    LEARNING OUTCOMES<\/strong><\/p>\n

    This course provides the basic knowledge of Numerical Analysis and Computational Mathematics.<\/p>\n

    The goals are to give the student the ability to solve linear and no-linear problems as well as to apply numerical techniques for solving mathematical and engineering problems using a PC. This knowledge is necessary and is used in many subsequent specialization courses in mechanical engineering and aeronautics.<\/p>\n

    At the end of the course the student will have developed the following skills and competencies:<\/p>\n

      \n
    • To solve numerically linear and non-linear algebraic equations as well as systems.<\/li>\n
    • Know methods to interpolate (estimate) a value of a function between two known values and curve fitting.<\/li>\n
    • Know to approximate derivatives and definite integrals.<\/li>\n
    • Know to solve numerically initial and boundary value problems<\/li>\n
    • To develop procedures in C which implement numerical techniques for the solution of mathematical and engineering problems.<\/li>\n<\/ul>\n","protected":false},"featured_media":11551,"template":"","meta":{"_acf_changed":false},"msc_category":[],"courses_cat":[1659],"class_list":["post-35389","courses","type-courses","status-publish","has-post-thumbnail","hentry","courses_cat-6th-semester-compulsory"],"acf":[],"yoast_head":"\nComputational Methods - MEAD<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mead.upatras.gr\/en\/courses\/computational-methods\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Computational Methods - MEAD\" \/>\n<meta property=\"og:description\" content=\"COURSE CONTENT Algebraic equations root finding and iterative solution methods [...]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mead.upatras.gr\/en\/courses\/computational-methods\/\" \/>\n<meta property=\"og:site_name\" content=\"MEAD\" \/>\n<meta property=\"article:modified_time\" content=\"2025-08-29T13:31:52+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mead.upatras.gr\/wp-content\/uploads\/2018\/10\/courses.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1374\" \/>\n\t<meta property=\"og:image:height\" content=\"776\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mead.upatras.gr\/en\/courses\/computational-methods\/\",\"url\":\"https:\/\/mead.upatras.gr\/en\/courses\/computational-methods\/\",\"name\":\"Computational Methods - 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