{"id":4256,"date":"2026-01-16T10:54:49","date_gmt":"2026-01-16T10:54:49","guid":{"rendered":"https:\/\/devserver.admin.uoc.gr\/damsl\/?page_id=4256"},"modified":"2026-01-16T10:57:30","modified_gmt":"2026-01-16T10:57:30","slug":"damsl-210-modeling-in-physical-sciences","status":"publish","type":"page","link":"https:\/\/mscs.uoc.gr\/damsl\/damsl-210-modeling-in-physical-sciences\/","title":{"rendered":"DAMSL-210 Modeling in Physical Sciences"},"content":{"rendered":"\t\t
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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

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

DAMSL-210<\/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

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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

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

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Student Performance Evaluation<\/h6>

Lab assignments, Course project, Final exam<\/p><\/div><\/div><\/div>

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Syllabus<\/span><\/h6>
  • Models and their derivation. Dimensional analysis. Examples.<\/li>
  • Population (Logistic, Lotka-Volterra) and disease spreading (SIR) models. Numerical solution of the models.<\/li>
  • Hamiltonian systems (discrete and continuous). Klein-Gordon equation.<\/li>
  • The Schr\u00f6dinger equation and the Gross-Pitaevskii model.<\/li>
  • Diffusion equation, derivation, properties, diffusion in the presence of constant force.<\/li>
  • Deterministic \u2013 Stochastic systems. Modeling of deterministic systems: Molecular dynamics simulations. Dynamics of stochastic systems: Langevin, Brownian dynamics.<\/li>
  • Introduction to Monte Carlo methods. Monte Carlo algorithms of importance sampling.<\/li>
  • Markovian chains. Metropolis \u2013 Hastings type algorithms. Examples.<\/li>
  • Molecular simulations and multi-scale modeling of complex systems<\/li>
  • Data-driven models and Machine Learning algorithms for complex systems<\/li>
  • Hybrid physics-based data-driven models<\/li>
  • Advanced Topics: Reaction diffusion systems<\/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
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    Learning Outcomes<\/span><\/h6>

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

    • Understand the structure of mathematical models for discrete and continuous systems, which appear in Physics, Material Science, Biology and Engineering sciences.<\/li>
    • They will be able to construct\u00a0 mathematical models for similar problems<\/li>
    • They will be able to use modern simulation methods, algorithms for data analysis and machine learning widely used for the solution of these models<\/li>
    • Be in position to search for solutions to these models with analytical and computational tools<\/li>
    • They will be able to interpreter and\u00a0 explain the characteristics of the obtained solution with the respect to the origins of the models and its correspondence to the physical problem<\/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
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      <\/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-210 Teaching Semester B Semester ECTS Credits 10 Student Performance Evaluation Lab assignments, Course project, Final exam \u00a0 Syllabus Models and their derivation. Dimensional analysis. Examples. Population (Logistic, Lotka-Volterra) and disease spreading (SIR) models. Numerical solution of the models. Hamiltonian systems (discrete and continuous). Klein-Gordon equation. The Schr\u00f6dinger equation and the Gross-Pitaevskii model. Diffusion equation, derivation, properties, diffusion in the presence of constant force. Deterministic \u2013 Stochastic systems. Modeling of deterministic systems: Molecular dynamics simulations. Dynamics of stochastic systems: Langevin, Brownian dynamics. Introduction to Monte Carlo methods. Monte Carlo algorithms of importance sampling. Markovian chains. Metropolis \u2013 Hastings type algorithms. Examples. Molecular simulations and multi-scale modeling of complex systems Data-driven models and Machine Learning algorithms for complex systems Hybrid physics-based data-driven models Advanced Topics: Reaction diffusion systems Learning Outcomes After the successful completion of the course the students will be able to: Understand the structure of mathematical models for discrete and continuous systems, which appear in Physics, Material Science, Biology and Engineering sciences. They will be able to construct\u00a0 mathematical models for similar problems They will be able to use modern simulation methods, algorithms for data analysis and machine learning widely used for the solution of these models Be in position to search for solutions to these models with analytical and computational tools They will be able to interpreter and\u00a0 explain the characteristics of the obtained solution with the respect to the origins of the models and its correspondence to the physical problem<\/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-4256","page","type-page","status-publish","hentry","post-no-thumbnail"],"acf":[],"_links":{"self":[{"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/pages\/4256","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=4256"}],"version-history":[{"count":4,"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/pages\/4256\/revisions"}],"predecessor-version":[{"id":4260,"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/pages\/4256\/revisions\/4260"}],"wp:attachment":[{"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/media?parent=4256"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}