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DTSTART;TZID=Europe/Berlin:20260707T161500
DTEND;TZID=Europe/Berlin:20260707T174500
DTSTAMP:20260727T063607
CREATED:20260723T124853Z
LAST-MODIFIED:20260723T124948Z
UID:10000160-1783440900-1783446300@www.trr352.de
SUMMARY:Symmetry of optimizers by examples
DESCRIPTION:The course is intended especially for Master’s students\, PhD students\, and postdoctoral researchers\, but everyone interested is warmly welcome to attend. \nIf a variational problem has a symmetry\, it is natural to ask whether an optimizer has the same symmetry. Symmetries offer clear advantages for computing optimizers and determining the optimal value of a variational problem. \nIn general\, however\, optimizers do not necessarily reflect the underlying symmetry: symmetry may be broken. The mathematical analysis must therefore focus on relevant\, non-trivial examples and the techniques used to study them. \nKey examples will include the sharp Sobolev inequality and its generalization\, the Caffarelli–Kohn–Nirenberg inequalities\, as well as sharp Hardy–Littlewood–Sobolev inequalities and Beckner’s inequality. \nParticular emphasis will be placed on techniques such as the use of the isoperimetric inequality and rearrangements\, flows\, and Obata-type identities\, as well as the analysis of the second variation operator for proving symmetry breaking. \nIf time permits\, sharp spinor inequalities will also be discussed. \nPlease feel free to forward this announcement to anyone who might be interested.
URL:https://www.trr352.de/event/symmetry-of-optimizers-by-examples/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Mini Course
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260622T161500
DTEND;TZID=Europe/Berlin:20260622T174500
DTSTAMP:20260727T063607
CREATED:20260610T211948Z
LAST-MODIFIED:20260614T202553Z
UID:10000146-1782144900-1782150300@www.trr352.de
SUMMARY:A Short Course on Exponential Integrators: Construction\, Analysis\, and Implementation for Time Dependent Partial Differential Equations
DESCRIPTION:COURSE OVERVIEW\nExponential integrators are powerful numerical methods for solving time-dependent partial differential equations. This short course introduces the construction\, analysis\, and efficient implementation of exponential integrators\, providing both theoretical foundations and practical insights. \nWe study linearization of semilinear and nonlinear evolution equations and develop modern exponential integration schemes. The course covers convergence theory and implementation issues\, in particular the efficient computation of matrix-function–vector products using Krylov subspace methods. \nThe course is based on the classical review by Hochbruck & Ostermann (2010) and will also address more recent developments. \n\nTOPICS\n\nLinearization of semilinear and nonlinear evolution equations\nExponential Runge–Kutta methods\nExponential Rosenbrock-type methods\nConvergence analysis and error estimates\nThe exponential Euler method – analysis and proof\nEfficient implementation of matrix-function–vector products\nKrylov subspace methods\nRecent developments beyond the review by Hochbruck & Ostermann (2010)\n\n\nSCHEDULE\nMonday\, June 1514:15 – 15:45 \nMonday\, June 1516:15 – 17:45 \nMonday\, June 2216:15 – 17:45 \n\nVENUE\nHörsaal 3 (HS 3)MI BuildingBoltzmannstr. 3TUM-Campus Garching \n\nINTENDED AUDIENCE\nGraduate students\, doctoral researchers\, and scientists interested in: \n\nNumerical analysis\nScientific computing\nDifferential equations\nComputational mathematics\n\n\nREFERENCE\nM. Hochbruck and A. Ostermann.Exponential Integrators.Acta Numerica\, 19:209–286\, 2010. \nhttps://doi.org/10.1017/S0962492910000048 \n\n\n\n\n\n\n\n\nPoster\nA Short Course on Exponential Integrators
URL:https://www.trr352.de/event/a-short-course-on-exponential-integrators-construction-analysis-and-implementation-for-time-dependent-partial-differential-equations/2026-06-22/
LOCATION:5606.EG.011 (MI Hörsaal 3)\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Mini Course
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260615T141500
DTEND;TZID=Europe/Berlin:20260615T174500
DTSTAMP:20260727T063607
CREATED:20260610T211948Z
LAST-MODIFIED:20260614T202553Z
UID:10000144-1781532900-1781545500@www.trr352.de
SUMMARY:A Short Course on Exponential Integrators: Construction\, Analysis\, and Implementation for Time Dependent Partial Differential Equations
DESCRIPTION:COURSE OVERVIEW\nExponential integrators are powerful numerical methods for solving time-dependent partial differential equations. This short course introduces the construction\, analysis\, and efficient implementation of exponential integrators\, providing both theoretical foundations and practical insights. \nWe study linearization of semilinear and nonlinear evolution equations and develop modern exponential integration schemes. The course covers convergence theory and implementation issues\, in particular the efficient computation of matrix-function–vector products using Krylov subspace methods. \nThe course is based on the classical review by Hochbruck & Ostermann (2010) and will also address more recent developments. \n\nTOPICS\n\nLinearization of semilinear and nonlinear evolution equations\nExponential Runge–Kutta methods\nExponential Rosenbrock-type methods\nConvergence analysis and error estimates\nThe exponential Euler method – analysis and proof\nEfficient implementation of matrix-function–vector products\nKrylov subspace methods\nRecent developments beyond the review by Hochbruck & Ostermann (2010)\n\n\nSCHEDULE\nMonday\, June 1514:15 – 15:45 \nMonday\, June 1516:15 – 17:45 \nMonday\, June 2216:15 – 17:45 \n\nVENUE\nHörsaal 3 (HS 3)MI BuildingBoltzmannstr. 3TUM-Campus Garching \n\nINTENDED AUDIENCE\nGraduate students\, doctoral researchers\, and scientists interested in: \n\nNumerical analysis\nScientific computing\nDifferential equations\nComputational mathematics\n\n\nREFERENCE\nM. Hochbruck and A. Ostermann.Exponential Integrators.Acta Numerica\, 19:209–286\, 2010. \nhttps://doi.org/10.1017/S0962492910000048 \n\n\n\n\n\n\n\n\nPoster\nA Short Course on Exponential Integrators
URL:https://www.trr352.de/event/a-short-course-on-exponential-integrators-construction-analysis-and-implementation-for-time-dependent-partial-differential-equations/2026-06-15/
LOCATION:5606.EG.011 (MI Hörsaal 3)\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Mini Course
END:VEVENT
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