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 |
Structure and asymptotic preserving schemes for the Vlasov-Poisson system and related models
Recent advances in subcell based limiting for discontinuous Galerkin methods with guarantees
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”
Numerical solutions of hyperbolic equations – wave breaking leads the way
Localization phenomena in chemotaxis and in inelastic fracture
11:35am - 12:00pm
On the equivalence of some non-conservative hyperbolic systems and conservative systems
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
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
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
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
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
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
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
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
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
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
A second-order invariant-region-preserving scheme for a transport-flow model of polydisperse sedimentation
2:25pm - 2:50pm
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
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
Simplex solver for Lagrangian hydrodynamics
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
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
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
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
Effects of quartic nonlinearity on shock wave propagation in non-ideal media
3:40pm - 4:05pm
On the characteristic fields of averaged models of two phase flows
Self-similar analysis of strong shock waves in a magnetized, non-ideal, self-gravitating gas with finite electrical conductivity
4:25pm - 4:50pm
Shock wave evolution and conservation laws in compressible flow via symmetry based analysis
4:50pm - 5:15pm
Interactions of delta shock waves in generalized Chaplygin gas with source terrm
5:15pm - 5:40pm
Riemann problem for a pressureless gas dynamics system with time-gradually-degenerate linear damping
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
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
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
Semi-analytical solution of $(2+1)$-dimensional KdV-Burgers equation using homotopy analysis method
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
Provably physical-constraints-preserving alternative finite difference-WENO scheme for special relativistic hydrodynamic (RHD) equations
