Seminar:
Hyperbolic equations: Structure preserving numerical methods and other topics
This series of seminar lectures addresses topics in hyperbolic partial differential equations, like numerical schemes that preserve certain structures like involutions constraints, stationary solutions or asymptotic behavior. Also other topics will be discussed.
All are welcome to join us via Zoom, please write to me at
klingen@mathematik.uni-wuerzburg.de
to obtain the Zoom address.
Videos of past lectures are posted on this page.
- Thursday, Sept. 24, 2020 at 9:30 am: Michael Dumbser (Trento, Italy): "A structure-preserving staggered semi-implicit scheme for continuum mechanics" view abstract
here is the video of this lecture:
download slides of the lecture here
- Thursday, Oct. 1, 2020 at 9:30 am: Manuel Castro (Malaga, Spain): "A general framework for the construction of high order well-balanced finite volume schemes for balance laws" view abstract
here is the video of this lecture:
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- Thursday, Oct. 8, 2020 at 9:30 am: Evgeniy Romensky (Novosibirsk, Russia): "Symmetric Hyperbolic Thermodynamically Compatible equations: structure, constraints, asymptotic limits" view abstract
here is the video of the lecture:
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- Tuesday, Oct. 13, 2020 at 9:30 am: Philippe Helluy (Strasbourg, France): "CFL-less explicit schemes for conservation laws based on a kinetic approach" view abstract
here is the video of the lecture:
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- Thursday, Oct. 22 at 9:30 am: Wasilij Barsukow (Zürich, Switzerland): "Structure preserving 3rd order Active Flux methods for hyperbolic balance laws" view abstract
here is the video of the lecture:
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- Thursday, Oct. 29, 2020 at 9:30 am: Ilya Peshkov (Trento, Italy): "The role of curl-type involution constraints in continuum mechanics" view abstract
here is the video of the lecture:
Christian Klingenberg
lectures in 2020:
- Thursday, Nov. 5 at 9:30 am: Elena Gaburro (Trento, Italy): "Lagrangian schemes with topology changes and well balanced techniques for the solution of hyperbolic partial differential equations" view abstract
here is the video of the lecture:
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- Thursday, Nov. 12, 2020 at 9:30 am: Nicolas Crouseilles (Rennes, France): "Splitting methods for rotations: application to Vlasov equations" view abstract
here is the video of the lecture:
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- Thursday, Nov. 19, 2020 at 9:30 am: Gregor Gassner (Cologne, Germany): "Entropy-dissipation/stability and local linear stability" view abstract
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- Thursday, Nov. 26, 2020 at 9:30 am: Yann Brenier (Paris, France): "Structure preservation issues for initial value problems viewed as backward-forward Mean Field Games with matrix-valued density fields" view
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- Thursday, Dec. 3, 2020 at 9:30 am: Carlos Pares (Malaga, Spain): "Well-balanced high-order finite difference methods for systems of balance laws" view abstract
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- Thursday, Dec. 10, 2020 at 9:30 am: Gabriella Puppo (Rome, Italy): "Investigating high order finite volume schemes for hyperbolic systems" view abstract
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- Thursday, Dec. 17, 2020 at 9:30 am: Min Tang (Shanghai, China): "Asymptotic preserving scheme for the nonlinear radiation transport MHD equation" view abstract
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- Friday, Mar. 19, 2021 at 3 pm GMT+1: Saray Busto (Trento, Italy), "Semi-implicit hybrid finite volume-finite element schemes for all Mach number flows" view abstract
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- Friday, Mar. 12, 2021 at 3 pm GMT+1: Jeff Haack (Los Alamos Lab, USA), "A new grazing collision approximation to the Boltzmann collision operator for plasmas" view abstract
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- Friday, Feb. 26, 2021 at 3 pm GMT+1: Jean-Luc Guermond (Texas A&M, USA), "Robust invariant domain preserving approximation of the compressible Navier-Stokes equations" view abstract
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- Friday, Feb. 19, 2021 at 3 pm GMT+1: Francois Bouchut (Marne-la-Vallée, France), "Two examples of multi well-balanced schemes for shallow water type systems" view abstract
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- Friday, Feb. 12, 2021 at 3 pm GMT+1: Praveen Chandrashekar (Bangalore, India), "Divergence-free DG schemes for hyperbolic problems", view abstract
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- Friday, Feb. 5, 2021 at 3 pm GMT+1: Cory Hauck (Oakridge National Lab, Knoxville, USA), "Discontinuous Galerkin methods and the diffusion limit" view abstract
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- Friday, Jan. 29, 2021 at 3 pm GMT+1: Yulong Xin (Ohio State Univ. USA). "Arbitrary order structure preserving discontinuous Galerkin methods for hyperbolic balance laws" view
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- Friday, Jan. 22, 2021 at 3 pm GMT+1: Sergey L Gavrilyuk (Marseille, France), "Involutions of curl-type : from quantum mechanics to multiphase flows" view abstract
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- Friday, Jan. 15, 2021 at 3 pm GMT+1: Shi Jin (Shanghai, China): "Semiclassical computational methods for quantum dynamics with band-crossing and uncertainty" view abstract
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- Friday, Jan. 8, 2021 at 3 pm GMT+1: Bruno Despres (Paris), "Neural Networks and numerical analysis of PDEs" view abstract
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- Friday, June 4, 2021 at 3 pm GMT+1: Chi-Wang Shu (Brown Univ., USA), "Stability of time discretizations for semi-discrete high order schemes for time-dependent PDEs" view abstract
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- Friday, May 28, 2021 at 3 pm GMT+1: Matthias Maier (Texas A&M USA), "Efficient parallel 3D computation of the compressible Euler equations with an invariant-domain preserving second-order finite-element scheme" view abstract
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- Friday, May 21, 2021 at 3 pm GMT+1: Christiane Helzel (Düsseldorf, Germany), "A Numerical Approach for a Coupled System Describing Sedimentation in Suspensions of Rod-Like Particles", view abstract
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.- Friday, May 14, 2021 at 3 pm GMT+1: Deep Ray (Univ. South. Calif, USA), "A data-driven approach to predict artificial viscosity in high-order solvers", view abstract
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- Friday, May 7, 2021 at 3 pm GMT+1: Claus-Dieter Munz (Stuttgart), "Sharp interface modelling of phase change in two-phase flow", view abstract
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- Friday, April 30, 2021 at 3 pm GMT+1: Bojan Popov (Texas A&M USA), "Invariant-domain preserving approximation of the compressible Euler equations with tabulated equations of state", view abstract
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- Friday, April 23, 2021 at 3 pm GMT+1: Mohammed Lemou (cNRS & Univ. de Rennes, France), "Highly-oscillatory evolution equations: averaging and numerics", view abstract
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- Friday, April 16, 2021 at 3 pm GMT+1: Qin Li (Univ. of Wisc., Madison, USA), "Low rank structure in the forward and inverse kinetic theory", view abstract
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- Friday, April 9, 2021 at 3 pm GMT+1: François Dubois (Université d'Orsay, France), "An asymptotic expansion approach to the lattice Boltzmann method with applications to compressible Navier Stokes equations" view abstract
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- Friday, Mar. 26, 2021 at 3 pm GMT+1: Dinshaw Balsara (Notre Dame, South Bend, USA), "Divergence- and Curl Constraint Preserving Higher Order Schemes", view abstract
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lectures 2021 (first half):
.- Friday, Sept. 24, 2021 at 3 pm (Berlin time): Remi Abgrall (Universität Zürich, Switzerland), "Two cases of schemes that use a non conservative version of a conservative system: the Euler equations", view abstract
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- Friday, Oct. 1, 2021 at 3 pm (Berlin time): Viktor Linders (Lund University, Sweden): "Conservative iterative methods for conservation laws", view abstract
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- Friday, Oct. 8, 2021 at 3 pm (Berlin time): Stéphane Brull (Bordeaux, France): "Approximation of the bi-temperature Euler system in 2 space dimensions", view abstract
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- Friday, Oct. 15, 2021 at 3 pm (Berlin time): Giovanni Russo (Catania, Italy): "Conservative Semi-Lagrangian methods for Kinetic Equations", view abstract
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- Friday, Oct. 22, 2021 at 3 pm (Berlin time): Dmitri Kuzmin (Dortmund, Germany): “Monolithic convex limiting and entropy fixes for finite element discretizations of hyperbolic problems”, view abstract
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- Friday, Oct 29, 2021 at 3 pm (Berlin time): Lorenzo Pareschi (Ferrara, Italy), "Implicit-Explicit time integration methods and multiscale hyperbolic PDEs", view abstract
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- Friday, Nov. 5, 2021 at 3 pm (Berlin time): Francis Filbet (Toulouse, France), "On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system", view abstract
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- Friday, Nov. 12, 2021 at 3 pm (Berlin time): David Ketcheson (KAUST, Saudi Arabia), "Carbuncles in the kitchen sink: approximate Riemann solvers and the shallow water circular hydraulic jump", view abstract
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- Friday, Nov. 19, 2021 at 3 pm (Berlin time): Walter Boscheri (Ferrara, Italy), “High order schemes for the 3D Navier-Stokes equations at all Mach numbers”, view abstract
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- Friday, Nov. 26, 2021 at 3 pm (Berlin time): Matteo Semplice (Como, Italy), "One- and multi-dimensional Central WENO reconstructions for implementing boundary conditions without ghost cells", view abstract
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- Friday, Dec. 3, 2021 at 3 pm (Berlin time): Raphael Loubère & Pierre-Henri Marie (Bordeaux & CEA-Cesta, France), "Innovative Finite Volume methods for solving multi-dimensional hyperbolic systems of conservation laws", view abstract
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- Friday, Dec. 10, 2021 at 3 pm (Berlin time): Lukas Einkemmer (Innsbruck, Austria). "Dynamical low-rank approximation for solving high-dimensional hyperbolic problems" view abstract
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lectures 2021 (second half)
- Friday, Feb. 25, 2022 at 3 pm (CET): Alina Chertock (North Carolina State Univ., USA), "Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme", view abstract view slides speaker opted out of posting a video
- Friday, Mar. 4, 2022 at 3 pm (CET): Maria Lukacova (Mainz Univ., Germany), "What is a limit of solutions computed by structure preserving schemes?", view abstract
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- Friday, Mar. 11, 2022 at 3 pm (CET): Eitan Tadmor (Univ. of Maryland at College Park, MD, USA), "Global regularity and emergent behavior of multi-dimensional Euler alignment system", view abstract
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- Friday, Mar. 18, 2022 at 3 pm (CET): Li Wang: (Univ. of Minnesota, Minneapolis, USA) "Some new perspectives on developing asymptotic preserving schemes for kinetic equations", view abstract
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- Friday, Mar. 25, 2022 at 3 pm (CET): Jingwei Hu: (Univ. of Washington, Seattle, USA) "High order strong stability preserving and asymptotic preserving multi-derivative IMEX Runge-Kutta methods", view abstract
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- Friday, Apr. 1, 2022 at 3 pm (CET): Barbara Re: (Politecnico di Milano, Italy) "On computing weakly compressible multi-phase flows" view abstract
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- Friday, Apr. 8, 2022 at 3 pm (CET): Giacomo Dimarco (Univ. of Ferrara, Italy), "High order numerical methods for the Boltzmann equation and related problems" view abstract
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- Friday, Apr. 22, 2022 at 3 pm (CET): James Glimm (State University of New York at Stony Brook, NY, USA), “Entropy and admissibility condition for the Navier–Stokes equations" view abstract
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- Friday, Apr. 29, 2022 at 3 pm (CET): Alexander Kurganov (Sustech, China), "Well-Balanced Path-Conservative Central-Upwind Schemes Based on Flux Globalization" view abstract
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- Friday, May 6 at 3 pm (CET): Randall LeVeque (Univ. of Washington, Seattle, USA), "Dispersive Tsunami Modeling with Adaptive Mesh Refinement" view abstract
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- Friday, May 13, 2022: Martin Frank (Karlsruhe Institute of Technology, Germany), "Structure-preserving artificial neural networks for moment closures", view abstract
CANCELLED
lecture series from Sept. 2020 - May 2022