{"id":4243,"date":"2026-01-16T10:41:11","date_gmt":"2026-01-16T10:41:11","guid":{"rendered":"https:\/\/devserver.admin.uoc.gr\/damsl\/?page_id=4243"},"modified":"2026-01-16T10:53:34","modified_gmt":"2026-01-16T10:53:34","slug":"damsl-203-numerical-approximation-of-des","status":"publish","type":"page","link":"https:\/\/mscs.uoc.gr\/damsl\/damsl-203-numerical-approximation-of-des\/","title":{"rendered":"DAMSL-203 Numerical Approximation of DEs"},"content":{"rendered":"\t\t
\n\t\t\t\t
\n\t\t\t\t\t
\n\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Type<\/strong><\/p>

Elective<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Course Code<\/strong><\/p>

DAMSL-203<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Teaching Semester<\/strong><\/p>

B semester<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

ECTS Credits<\/strong><\/p>

10<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
Student Performance Evaluation<\/h6>

The final grade will be based on homework\/lab assignments and\/or the final Exam\/Project<\/p><\/div><\/div><\/div>

Prerequisite Courses<\/h6>

Calculus I , Linear Algebra I, Python, Differential Equations<\/p><\/div><\/div><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
Syllabus<\/span><\/h6>
  1. The initial value problem (IVP) for ordinary differential equations
    • Euler and Euler like methods<\/li>
    • Runge-Kutta Methods<\/li>
    • Multistep Methods<\/li>
    • Consistency, Stability and Accuracy of the methods<\/li><\/ul><\/li><\/ol>
      1. Two-point boundary value problem: finite difference method<\/li>
      2. Finite difference methods for partial differential equations
        • The Poisson problem<\/li>
        • The heat equation<\/li><\/ul><\/li><\/ol><\/div><\/div><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
          \n\t\t\t\t
          \n\t\t\t\t\t\t\t\t\t
          Learning Outcomes<\/span><\/h6>

          After successful completion of the course the students will be able\/have to<\/p>

            • Good knowledge of the basic numerical methods for solving differential equations<\/li>
            • Very good understanding of their stability and accuracy properties<\/li>
            • Implement the methods and obtain solutions of basic applied problems.<\/li><\/ul><\/li><\/ul><\/div><\/div><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
              \n\t\t\t\t\t
              \n\t\t\t\t
              \n\t\t\t\t
              \n\t\t\t\t\t\t\t
              \n\t\t\t
              <\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

              Type Elective Course Code DAMSL-203 Teaching Semester B semester ECTS Credits 10 Student Performance Evaluation The final grade will be based on homework\/lab assignments and\/or the final Exam\/Project Prerequisite Courses Calculus I , Linear Algebra I, Python, Differential Equations Syllabus The initial value problem (IVP) for ordinary differential equations Euler and Euler like methods Runge-Kutta Methods Multistep Methods Consistency, Stability and Accuracy of the methods Two-point boundary value problem: finite difference method Finite difference methods for partial differential equations The Poisson problem The heat equation Learning Outcomes After successful completion of the course the students will be able\/have to Good knowledge of the basic numerical methods for solving differential equations Very good understanding of their stability and accuracy properties Implement the methods and obtain solutions of basic applied problems.<\/p>\n","protected":false},"author":194,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"class_list":["post-4243","page","type-page","status-publish","hentry","post-no-thumbnail"],"acf":[],"_links":{"self":[{"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/pages\/4243","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/users\/194"}],"replies":[{"embeddable":true,"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/comments?post=4243"}],"version-history":[{"count":4,"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/pages\/4243\/revisions"}],"predecessor-version":[{"id":4255,"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/pages\/4243\/revisions\/4255"}],"wp:attachment":[{"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/media?parent=4243"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}