[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-952842","data":"\u003Cdiv class=\u0022container content-rte\u0022\u003E\n  \u003Cdiv class=\u0022row\u0022\u003E\n    \u003Cdiv class=\u0022box col-md-6 bg-primary text-white\u0022\u003E\n      \u003Ch2 class=\u0022h1 text-left\u0022\u003E  [M2 DiPaC] Calcul scientifique\n\u003C\/h2\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n          3\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ESemestre calendaire :\n          Semester 2\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ED\u00e9tail du volume horaire\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ECours magistraux :\u003C\/span\u003E\n                                      \u003Cspan\u003E10.5\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ETravaux pratiques :\u003C\/span\u003E\n                                      \u003Cspan\u003E10.5\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                                                          \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ELangue d\u0026#039;enseignement\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EAnglais\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EEnseignement \u00e0 distance\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003Enon\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n    \u003Cdiv class=\u0022box col-md-6\u0022\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EPr\u00e9requis\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u003Cstrong\u003EPrerequisites:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cul\u003E\n\u003Cli\u003EKnowledge of the main concepts of linear algebra.\u003C\/li\u003E\n\u003Cli\u003EExperience with programming in Python.\u003C\/li\u003E\n\u003Cli\u003EFamiliarity with computer arithmetics and some numerical methods is a plus but is not mandatory.\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EProgramme \/ plan \/ contenus\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u003Cstrong\u003ECourse program, plan, content:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003ETotal duration:\u003C\/strong\u003E\u0026nbsp;21 hours (7 sessions \u00d7 3 hours)\u003C\/p\u003E\n\u003Cul\u003E\n\u003Cli\u003E\u003Cstrong\u003ESession 1 (Lecture):\u003C\/strong\u003E\u0026nbsp;Numerical computations in finite precision. Basic matrix computations (BLAS) and matrix properties (sparsity, orthogonality,...).\u003C\/li\u003E\n\u003Cli\u003E\u003Cstrong\u003ESession 2 (Lecture):\u003C\/strong\u003E\u0026nbsp;Main techniques for solving linear systems: direct and iterative methods, preconditioning techniques, mixed precision algorithms.\u003C\/li\u003E\n\u003Cli\u003E\u003Cstrong\u003ESession 3 (Lecture):\u003C\/strong\u003E\u0026nbsp;Solving partial differential equations (PDEs), discretization methods.\u003C\/li\u003E\n\u003Cli\u003E\u003Cstrong\u003ESession 4 (Lecture):\u003C\/strong\u003E\u0026nbsp;Eigenvalue computation, singular value decomposition (SVD), condition number.\u003C\/li\u003E\n\u003Cli\u003E\u003Cstrong\u003ESession 5 (Lab):\u003C\/strong\u003E\u0026nbsp;Practical work on linear systems.\u003C\/li\u003E\n\u003Cli\u003E\u003Cstrong\u003ESession 6 (Lab):\u003C\/strong\u003E\u0026nbsp;Practical work on PDEs.\u003C\/li\u003E\n\u003Cli\u003E\u003Cstrong\u003ESession 7 (Lab):\u003C\/strong\u003E\u0026nbsp;Practical work on eigensolvers and SVD.\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EObjectifs d\u0026#039;apprentissage\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u003Cstrong\u003ELearning objectives:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cp\u003EAt the end of this course, students will be able to:\u003C\/p\u003E\n\u003Cul\u003E\n\u003Cli\u003EUnderstand the interest of numerical algorithms for solving scientific problems.\u003C\/li\u003E\n\u003Cli\u003EIdentify the main linear algebra kernels required for scientific computing applications.\u003C\/li\u003E\n\u003Cli\u003EApply linear algebra routines to general fields like HPC, AI or quantum computing.\u003C\/li\u003E\n\u003Cli\u003EDevelop and execute numerical algorithms in Python.\u003C\/li\u003E\n\u003Cli\u003EKnow the main issues in finite precision computations and problem conditioning.\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EOrganisation g\u00e9n\u00e9rale et modalit\u00e9s p\u00e9dagogiques\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u003Cstrong\u003EGeneral course organization and teaching modalities:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cul\u003E\n\u003Cli\u003EThe course combines\u0026nbsp;\u003Cstrong\u003Electures\u003C\/strong\u003E\u0026nbsp;introducing theoretical concepts with\u0026nbsp;\u003Cstrong\u003Ehands-on programming labs\u003C\/strong\u003E\u0026nbsp;that allow students to apply and test these concepts in practice.\u003C\/li\u003E\n\u003Cli\u003EEvaluation is\u0026nbsp;\u003Cstrong\u003Econtinuous\u003C\/strong\u003E, based on\u0026nbsp;\u003Cstrong\u003Ewritten and programming exercises\u003C\/strong\u003E throughout the course. Students will use Python to complete lab work.\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EComp\u00e9tences\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u003Cstrong\u003ECompetencies gained in the course:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cp\u003EUpon successful completion, students will have acquired the following competencies:\u003C\/p\u003E\n\u003Cul\u003E\n\u003Cli\u003E\u003Cstrong\u003ETechnical competence:\u003C\/strong\u003E\u0026nbsp;Ability to design and implement numerical algorithms in Python.\u003C\/li\u003E\n\u003Cli\u003E\u003Cstrong\u003EAnalytical competence:\u003C\/strong\u003E\u0026nbsp;Capacity to understand numerical algorithms in the context of finite precision computation.\u003C\/li\u003E\n\u003Cli\u003E\u003Cstrong\u003EPractical competence:\u003C\/strong\u003E\u0026nbsp;Knowledge of the main linear algebra solvers.\u003C\/li\u003E\n\u003Cli\u003E\u003Cstrong\u003EProblem-solving competence:\u003C\/strong\u003E\u0026nbsp;Ability to identify scientific problems and to choose the most suited algorithms for solving them.\u003C\/li\u003E\n\u003Cli\u003E\u003Cstrong\u003ETransferable skills:\u003C\/strong\u003E\u0026nbsp;Experience working with numerical linear algebra problems.\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EBibliographie\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u003Cstrong\u003EBibliography:\u003C\/strong\u003E\u003C\/p\u003E\n\u003Cul\u003E\n\u003Cli\u003ECarl D. Meyer, Matrix Analysis and Applied Linear Algebra. SIAMM 2023 (second edition)\u003C\/li\u003E\n\u003Cli\u003EGene H. Golub and Charles F. Van Loan. Matrix Computations. John Hopkins University Press 2013, 2013. 4th edition.\u003C\/li\u003E\n\u003Cli\u003E\u0026nbsp;N. J. Higham. Accuracy and Stability of Numerical Algorithms. SIAM 2002 (second edition).\u003C\/li\u003E\n\u003Cli\u003EY. Saad, Iterative Methods for Sparse Linear Systems. SIAM 2003 (second edition).\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ENature de l\u0026#039;\u00e9valuation\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EEvaluation Continue non Int\u00e9grale\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n","settings":null}]