{"id":16571,"date":"2017-07-25T11:56:00","date_gmt":"2017-07-25T09:56:00","guid":{"rendered":"http:\/\/www.h-its.org\/?p=16571"},"modified":"2019-09-24T11:40:21","modified_gmt":"2019-09-24T09:40:21","slug":"2017-fundamentals-simulation","status":"publish","type":"post","link":"https:\/\/www.h-its.org\/de\/2017\/07\/25\/2017-fundamentals-simulation\/","title":{"rendered":"2017: Fundamentals of Simulation Methods"},"content":{"rendered":"\n<p>Winter semester 2017\/2018<\/p>\n\n\n\n<p>by Frauke Gr\u00e4ter and R\u00fcdiger Pakmor<\/p>\n\n\n\n<p>This lecture (MVComp1) is part of the specialization in Computational Physics within the physics masters degree at Heidelberg University. The objectives of this course are to endow students with the capacity to identify and classify common numerical problems, to reach an active understanding of applicable numerical methods and algorithms, to solve basic physical problems with adequate numerical techniques, and to recognize the range of validity of numerical solutions.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">TOPICS<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Basic concepts of numerical simulations, continuous and discrete simulations<\/li><li>Discretization of ordinary differential equations, integration schemes of different order<\/li><li>N-body problems, molecular dynamics, collisionless systems<\/li><li>Discretization of partial differential equations<\/li><li>Finite element and finite volume methods<\/li><li>Lattice methods<\/li><li>Adaptive mesh refinement and multi-grid methods<\/li><li>Matrix solvers and FFT methods<\/li><li>Monte Carlo methods, Markov chains, applications in statistical physics<\/li><\/ul>\n\n\n\n<p>Examples will include molecular and astrophysics problems.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">ORGANIZATION<\/h2>\n\n\n\n<p>The lecture takes place weekly, Tuesdays and Thursdays, 9:30-11:00, in INF 227 \/ SR 1.403\/1.404<\/p>\n\n\n\n<p>Exercises will take place on Fridays, in INF 205 \/ PC-Pool SW 2<\/p>\n\n\n\n<p>Prior knowledge in a programming language and experience with plotting software is highly recommended for the course. There will be a short written examination at the end, and active and successful participation in the homework\/exercises is a prerequisite for participation in the final exam and obtaining the credit points for the lecture. The use of Moodle is foreseen for the lecture. Those of you who wish to acquire the credit points should please register to the Moodle (password will be announced at the first lecture).<\/p>\n\n\n\n<p>Access to the script and exercises are provided through Moodle.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">LITERATURE<\/h2>\n\n\n\n<p>(more to come)<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>W. Hockney and J.W. Eastwood, \u201cComputer Simulation using Particles\u201d<\/li><li>P. Allen and D. J. Tildesley, \u201cComputer Simulation of Liquids\u201c<\/li><li>Randall J. LeVeque, \u201cFinite Volume Methods for Hyperbolic Problems\u201d<\/li><li>Toro, E.F. \u201cRiemann Solvers and Numerical Methods for Fluid Dynamics\u201d<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Winter semester 2017\/2018 by Frauke Gr\u00e4ter and R\u00fcdiger Pakmor This lecture (MVComp1) is part of the specialization in Computational Physics &#8230;<\/p>\n","protected":false},"author":82,"featured_media":30085,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[1],"hits-research-group":[1296],"class_list":["post-16571","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gruppen-news","hits-research-group-mbm-de"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>2017: Fundamentals of Simulation Methods - 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