The 20th International Conference on
Hyperbolic Problems:
Theory, Numerics and
Applications (HYP2026)
University of Stuttgart, Germany, May 25 - 29, 2026
Conference Agenda
Overview and details of the sessions of this conference. Please select a date or location to show only sessions at that day or location. Please select a single session for detailed view (with abstracts and downloads if available).
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Daily Overview |
| 8:30am | Registration |
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| 9:00am - 9:50am |
PL-05: Plenary Lecture Francis Filbet Location: M17.01 Chair: Remi Abgrall Structure and asymptotic preserving schemes for the Vlasov-Poisson system and related models |
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| 9:55am - 10:35am |
IL-08: Invited Lecture Gregor Gassner Location: M17.01 Chair: Matteo Semplice Recent advances in subcell based limiting for discontinuous Galerkin methods with guarantees |
IL-09: Invited Lecture Katrin Grunert Location: M17.02 Chair: Rinaldo M. Colombo Numerical solutions of hyperbolic equations – wave breaking leads the way |
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| 10:35am - 11:10am |
Coffee Break |
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| 11:10am - 12:00pm |
P18-1: Scientific Computing Location: M17.01 Chair: Gabriella Puppo Adaptive schemes for hyperbolic systems of conservation laws 11:35am - 12:00pm Quantum computation of Hamilton-Jacobi equations: multivalued and viscosity solutions, and quantum scientific computing platform “UnitaryLab” |
P19-1: Hyperbolic Modelling Location: M17.02 Chair: Stefano Bianchini Localization phenomena in chemotaxis and in inelastic fracture 11:35am - 12:00pm On the equivalence of some non-conservative hyperbolic systems and conservative systems |
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| 12:00pm - 2:00pm |
Lunch Break |
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| 2:00pm - 3:40pm |
P11-1: Higher Order Time Discretizations Location: M17.12 – 1.005 Chair: Sandra May QUINPI: high order implicit schemes for conservation laws Extending Quinpi in 2D: an implicit scheme for nonlinear conservation laws Stability analysis of ADER-DG methods on classical and degenerate spacetime geometries ADER schemes go faster and faster |
P14-4: Riemann Problems and Wave Patterns Location: M17.81 – 8.019 Chair: Siegfried Mueller Topological structures in systems of conservation laws 2:25pm - 2:50pm Convergence to superposition of boundary layer, rarefaction and shock for the inflow problem of the 1D Navier-Stokes equations 2:50pm - 3:15pm A local-in-time quadratic functional for scalar conservation laws 3:15pm - 3:40pm The contribution has been withdrawn. Effects of quartic nonlinearity on shock wave propagation in non-ideal media 3:40pm - 4:05pm The contribution has been withdrawn. On the characteristic fields of averaged models of two phase flows |
P2-4: General Numerical Methods Location: M.17.17 – 1.017 Chair: Tiegang Liu A IMEX-based spectral scheme with adaptive time-stepping for the Vlasov-Poisson system in the quasi-neutral limit 2:25pm - 2:50pm A finite volume characteristics scheme for compressible non-equilibrium multiphase flows 2:50pm - 3:15pm Barotropic-baroclinic splitting for multilayer shallow water models with exchanges 3:15pm - 3:40pm A provably convergent MUSCL-type central scheme for conservation laws with discontinuous flux |
P20-1: Mixed-Type Problems Location: M.17.23 – 2.011 Chair: Donatella Donatelli Shock wavefronts for forward-backward-forward parabolic equations 2:25pm - 2:50pm Many species system with nonlocal interactions driven by Riesz potentials 2:50pm - 3:15pm Localization of self-similar solutions in diffusion–relaxation systems |
P21-1: Relaxation Approximation Location: M.17.21 – 2.005 Chair: Aneta Wróblewska-Kamińska A hyperbolic approximation of the nonlinear Schrödinger equation 2:25pm - 2:50pm Hyperbolic relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flows 2:50pm - 3:15pm Relaxation schemes for coupled systems of conservation laws 3:15pm - 3:40pm Relative entropy method for relaxation of fluid systems |
P23-1: Control and Inverse Problems Location: M17.74 – 7.017 Chair: Michael Herty Existence of spiral strategies for blocking fire spreading 2:25pm - 2:50pm On the optimal control of propagation fronts 2:50pm - 3:15pm Direct and inverse problems in a hypersonic piston model with large velocity variations |
| P25-1: Machine Learning Methods Location: M17.02 Chair: Anna Schwarz Stochastic collocation for the Euler system and neural networks 2:25pm - 2:50pm Hybrid modeling of hyperbolic systems of equations and auto-differentiability 2:50pm - 3:15pm Failsafe continuous Galerkin discretizations with stabilizations based on artificial intelligence |
P26-1: Symmetry Methods Location: M17.52 – 5.019 Chair: Graziano Guerra The contribution has been withdrawn. A unified symmetry framework for an Aw–Rascle model with Chaplygin gas dynamics 2:25pm - 2:50pm Fast reconnection for incompressible MHD equations 2:50pm - 3:15pm Symmetry analysis of a transport-enhanced blood flow model 3:15pm - 3:40pm The contribution has been withdrawn. Semi-analytical solution of $(2+1)$-dimensional KdV-Burgers equation using homotopy analysis method |
P6-5: Structure Preserving Methods Location: M.17.25 – 2.017 Chair: Tomás Morales de Luna A second-order invariant-region-preserving scheme for a transport-flow model of polydisperse sedimentation 2:25pm - 2:50pm The contribution has been withdrawn. A positivity-preserving segregated Runge-Kutta finite volume scheme for compressible flows on staggered meshes. 2:50pm - 3:15pm Physical constraint preserving alternative finite-difference WENO scheme for hyperbolic systems with non-conservative products 3:15pm - 3:40pm A kinetic energy preserving discontinuous Galerkin scheme based on a flexible velocity kinetic model |
P9-3: Higher Order Space Discretizations Location: M17.92 – 9.019 Chair: Luis-Miguel Villada-osorio A structure-preserving compact high-order method for multi-dimensional hyperbolic conservation laws 2:25pm - 2:50pm High-order flux splitting schemes for the Euler equations of gas dynamics 2:50pm - 3:15pm An adaptive spectral element method for systems of conservation laws 3:15pm - 3:40pm A high-order structure-preserving scheme for a model for two-layer thin film flow |
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| 3:40pm - 4:00pm |
Coffee Break |
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| 4:00pm - 6:05pm |
P1-5: Well-Posedness and Regularity Location: M17.12 – 1.005 Chair: Gianluca Crippa Hölder continuity for multi-d balance laws 4:25pm - 4:50pm Regularity of Lagrangian flows associated to singular vector fields 4:50pm - 5:15pm Oleinik inequality for balance laws 5:15pm - 5:40pm On some typicality and density results for nonsmooth vector fields and the associated continuity equation 5:40pm - 6:05pm Supercitical geometric optics and expected regularity for scalar multi-dimensional nonlinear conservation laws |
P14-5: Riemann Problems and Wave Patterns Location: M17.81 – 8.019 Chair: Simon Markfelder The contribution has been withdrawn. Self-similar analysis of strong shock waves in a magnetized, non-ideal, self-gravitating gas with finite electrical conductivity 4:25pm - 4:50pm The contribution has been withdrawn. Shock wave evolution and conservation laws in compressible flow via symmetry based analysis 4:50pm - 5:15pm The contribution has been withdrawn. Interactions of delta shock waves in generalized Chaplygin gas with source terrm 5:15pm - 5:40pm The contribution has been withdrawn. Riemann problem for a pressureless gas dynamics system with time-gradually-degenerate linear damping |
P2-5: General Numerical Methods Location: M.17.17 – 1.017 Chair: Jens Keim Supersonic reacting jet flows from three-dimensional divergent conical nozzles 4:25pm - 4:50pm Experimental and non-hydrostatic Saint-Venant-Exner modeling of dike breach by overtopping 4:50pm - 5:15pm Combined compressible-incompressible multiphase modelling approach of solid propellant ignition and combustion using an extended discontinous Galerkin method 5:15pm - 5:40pm Smooth perturbations of diagonally implicit Runge–Kutta methods |
P20-2: Mixed-Type Problems Location: M.17.23 – 2.011 Chair: Andrea Corli The Hele-Shaw free boundary limit of Buckley-Leverett System 4:25pm - 4:50pm A bulk-surface Cahn-Hilliard model for chemically active wetting 4:50pm - 5:15pm String stability for hysteretic flows |
P21-2: Relaxation Approximation Location: M.17.21 – 2.005 Chair: Niklas Kolbe On hyperbolic approximations for a class of dispersive and diffusive-dispersive equations 4:25pm - 4:50pm A hyperbolic relaxation approximation of the incompressible Navier-Stokes equations with artificial compressibility 4:50pm - 5:15pm A structure preserving scheme for the Alber equation, and investigation of the onset of instability 5:15pm - 5:40pm Well-balanced kinetic relaxation schemes for hyperbolic systems of balance laws |
P22-1: ALE Methods Location: M.17.25 – 2.017 Chair: Simone Chiocchetti An arbitrary Lagrangian-Eulerian semi-implicit FV/FE method for continuum mechanics 4:25pm - 4:50pm SCOUT: Semi-Lagrangian COnservative and Unconditionally sTable schemes for nonlinear advection-diffusion problems 4:50pm - 5:15pm An Arbitrary-Lagrangian-Eulerian solver for relativistic detonation waves 5:15pm - 5:40pm The contribution has been withdrawn. Simplex solver for Lagrangian hydrodynamics |
| P23-2: Control and Inverse Problems Location: M17.74 – 7.017 Chair: Nicola De Nitti Galois connections in Hamilton - Jacobi equations and conservation laws 4:25pm - 4:50pm Discrete adjoint gradient computation for multiclass traffic flow models on road networks 4:50pm - 5:15pm On controllability of conservation laws with space discontinuous flux 5:15pm - 5:40pm The contribution has been withdrawn. A robust optimization framework for sensor networks 5:40pm - 6:05pm High-fidelity adjoint aerodynamic optimization design based on high-order CFD solvers for NS equations |
P24-1: Relativistic Flows Location: M17.52 – 5.019 Chair: Ilya Peshkov Relativistic Navier-Stokes models 4:25pm - 4:50pm High order numerical discretizations of the Einstein-Euler equations in the generalized harmonic formulation 4:50pm - 5:15pm The relativistic Euler equations with Synge energy 5:15pm - 5:40pm Constraints preserving Lax-Wendroff flux reconstruction for relativistic hydrodynamics with general equations of state 5:40pm - 6:05pm The contribution has been withdrawn. Provably physical-constraints-preserving alternative finite difference-WENO scheme for special relativistic hydrodynamic (RHD) equations |
P25-2: Machine Learning Methods Location: M17.02 Chair: Hennes Hajduk Machine learning–enhanced junction modeling for shallow-water channel 4:25pm - 4:50pm A structure-preserving numerical method based on a neural network for a hyperbolic relaxation system 4:50pm - 5:15pm A fully-learnable PDE-informed framework for conservation laws |
P9-4: Higher Order Space Discretizations Location: M17.92 – 9.019 Chair: Wasilij Barsukow Well-balanced high-order finite-difference methods based on a local flux formulation 4:25pm - 4:50pm Entropy analysis and entropy stable DG methods for the shallow water moment equations 4:50pm - 5:15pm OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws 5:15pm - 5:40pm Oscillation-eliminating central DG schemes on Cartesian meshes for hyperbolic conservation laws |
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| 7:30pm | Conference Dinner Location: Alte Reithalle |
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