Structure and asymptotic preserving schemes for the Vlasov-Poisson system and related models

Francis Filbet

Université de Toulouse, France

Recent advances in subcell based limiting for discontinuous Galerkin methods with guarantees

Gregor Gassner

University of Cologne, Germany

Numerical solutions of hyperbolic equations – wave breaking leads the way

Katrin Grunert

NTNU - Norwegian University of Science and Technology, Norway

Adaptive schemes for hyperbolic systems of conservation laws

Alexander Kurganov

Southern University of Science and Technology, China, People's Republic of

Quantum computation of Hamilton-Jacobi equations: multivalued and viscosity solutions, and quantum scientific computing platform “UnitaryLab”

Shi Jin

Shanghai Jiao Tong University, China, People's Republic of

Localization phenomena in chemotaxis and in inelastic fracture

Athanasios Tzavaras

KAUST, Saudi Arabia

On the equivalence of some non-conservative hyperbolic systems and conservative systems

Gerald Warnecke¹, Ferdinand Thein^2,3

1: Otto-von-Guericke University, Germany; 2: TU Clausthal, Germany; 3: JGU Mainz, Germany

QUINPI: high order implicit schemes for conservation laws

Gabriella Puppo¹, Matteo Semplice², Giuseppe Visconti¹, Michal Zeravy³

1: Università La Sapienza, Roma, Italy; 2: Università dell'Insubria, Como, Italy; 3: Slovak University of Technology, Bratislava, Slovakia

Extending Quinpi in 2D: an implicit scheme for nonlinear conservation laws

Alessandra Zappa, Matteo Semplice

Università degli Studi dell'Insubria, Italy

Stability analysis of ADER-DG methods on classical and degenerate spacetime geometries

Mauro Bonafini¹, Davide Torlo², Elena Gaburro¹

1: University of Verona; 2: University of Rome Sapienza

ADER schemes go faster and faster

Simone Chiocchetti, Gregor Gassner

University of Cologne, Germany

Topological structures in systems of conservation laws

César de Souza Eschenazi¹, Wanderson José Lambert², Edwin Pedro López Bambarén³, Marlon Michael López-Flores⁴, Dan Marchesin⁵, Carlos Frederico Borges Palmeira⁶

1: Federal University of Minas Gerais, (UFMG- Brazil); 2: Federal University of Alfenas, (Unifal-Brazil); 3: Federal University of Roraima, (UFRR-Brazil); 4: Military Institute of Engineering, (IME-Brazil); 5: Institute of Pure and Mathematics,(IMPA- Brazil); 6: Pontifical Catholic University of Rio de Janeiro (PUC-Rio, Brazil)

Convergence to superposition of boundary layer, rarefaction and shock for the inflow problem of the 1D Navier-Stokes equations

Sungho Han¹, Moon-Jin Kang¹, Jeongho Kim², Nayeon Kim¹, HyeonSeop Oh¹

1: Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology; 2: Department of Applied Mathematics, Kyung Hee University

A local-in-time quadratic functional for scalar conservation laws

Egor Baitenov, Stefano Modena

Gran Sasso Science Institute, Italy

Effects of quartic nonlinearity on shock wave propagation in non-ideal media

Neelam Neelam

National Institute of Technology Warangal, India

On the characteristic fields of averaged models of two phase flows

Michael Ndjinga

University Paris Saclay, CEA Saclay, France

A IMEX-based spectral scheme with adaptive time-stepping for the Vlasov-Poisson system in the quasi-neutral limit

Bernardo Collufio

Gran Sasso Science Institute, Italy

A finite volume characteristics scheme for compressible non-equilibrium multiphase flows

Wassim Aboussi, Kevin Pons

CEA, France

Barotropic-baroclinic splitting for multilayer shallow water models with exchanges

Nina Aguillon¹, Sophie Hörnschemeyer², Jacques Sainte-Marie¹

1: Sorbonne University, CNRS, Inria, Laboratoire J.-L. Lions, Paris, France; 2: Institute for Geometry and Practical Mathematics, RWTH Aachen, Germany

A provably convergent MUSCL-type central scheme for conservation laws with discontinuous flux

Nikhil Manoj¹, Sudarshan Kumar K²

1: University of Würzburg, Germany; 2: IISER Thiruvananthapuram, India

Shock wavefronts for forward-backward-forward parabolic equations

Diego Berti¹, Andrea Corli², Luisa Malaguti³

1: University of Turin, Italy; 2: University of Ferrara, Italy; 3: University of Modena-Reggio Emilia, Italy

Many species system with nonlocal interactions driven by Riesz potentials

Valeria Iorio

University of L'Aquila, Italy

Localization of self-similar solutions in diffusion–relaxation systems

Hoyoun Kim

King Abdullah University of Science and Technology (KAUST), Saudi Arabia

A hyperbolic approximation of the nonlinear Schrödinger equation

Abhijit Biswas^1,2, Laila, B. Busaleh^1,3, David, I. Ketcheson¹, Carlos Muñoz-Moncayo¹, Manvendra Rajvanshi¹

1: King Abdullah University of Science and Technology, Saudi Arabia; 2: Indian Institute of Technology Kanpur, India; 3: Imam Abdulrahman Bin Faisal University, Saudi Arabia

Hyperbolic relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flows

Hasel Cicek Konan, Christian Rohde

University of Stuttgart, Germany

Relaxation schemes for coupled systems of conservation laws

Niklas Kolbe, Siegfried Müller, Aleksey Sikstel

RWTH Aachen University, Germany

Relative entropy method for relaxation of fluid systems

Christina Mahmoud^1,2, Hélène Mathis^1,2, Nicolas Seguin^1,2

1: Institut Montpellièrain Alexandre Grothendieck, Université de Montpellier, CNRS; 2: Inria, Team ANGUS, Montpellier

Existence of spiral strategies for blocking fire spreading

Stefano Bianchini¹, Martina Zizza²

1: SISSA, Italy; 2: MPI, Leipzig, Germany

On the optimal control of propagation fronts

Chiara Trifone, Stefano Bianchini

SISSA, Italy

Direct and inverse problems in a hypersonic piston model with large velocity variations

Dian Hu¹, Qianfeng Li², Yongqian Zhang³

1: East China University of Science and Technology, China; 2: Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany; 3: Fudan University, China

Stochastic collocation for the Euler system and neural networks

Mária Lukácová-Medvid'ová, Simon Schneider

Johannes Gutenberg University Mainz, Germany

Hybrid modeling of hyperbolic systems of equations and auto-differentiability

Bruno Després

Sorbonne University, France

Failsafe continuous Galerkin discretizations with stabilizations based on artificial intelligence

Hennes Hajduk

TU Dortmund, Germany

A unified symmetry framework for an Aw–Rascle model with Chaplygin gas dynamics

Sandhya Maurya, Tapan Kumar Hota

SRM University AP, India

Fast reconnection for incompressible MHD equations

Gennaro Ciampa

Università degli Studi dell'Aquila, Italy

Symmetry analysis of a transport-enhanced blood flow model

Debendra Prasad Panda, Manoj Pandey

BITS Pilani, K K Birla Goa Campus, India

Semi-analytical solution of $(2+1)$-dimensional KdV-Burgers equation using homotopy analysis method

Rajan Arora, Prince Sharma

Indian Institute of Technology Roorkee, India

A second-order invariant-region-preserving scheme for a transport-flow model of polydisperse sedimentation

Juan Barajas-Calonge¹, Raimund Bürger², Pep Mulet³, Luis Miguel Villada¹

1: Universidad del Bío-Bío, Chile; 2: Universidad de Concepción, Chile; 3: Universitat de València, Spain

A positivity-preserving segregated Runge-Kutta finite volume scheme for compressible flows on staggered meshes.

Thomas Harbreteau¹, Raphaèle Herbin¹, Jean-Claude Latché²

1: Aix-Marseille Université, France; 2: ANSR Cadarache, France

Physical constraint preserving alternative finite-difference WENO scheme for hyperbolic systems with non-conservative products

Deepak Bhoriya¹, Dinshaw S. Balsara², Praveen Chandrashekar³, Chi-Wang Shu⁴

1: Birla Institute of Technology and Science (BITS) Pilani, India; 2: University of Notre Dame, Indiana, USA; 3: TIFR Centre For Applicable Mathematics, Bengaluru, India; 4: Brown University, USA

A kinetic energy preserving discontinuous Galerkin scheme based on a flexible velocity kinetic model

Kedar Wagh, S.V. Raghurama Rao, Sashikumaar Ganesan

Indian Institute of Science, Bengaluru, India

A structure-preserving compact high-order method for multi-dimensional hyperbolic conservation laws

Christian Klingenberg

University of Wuerzburg, Germany, Germany

High-order flux splitting schemes for the Euler equations of gas dynamics

Shaoshuai Chu¹, Michael Herty¹, Eleuterio F. Toro²

1: RWTH Aachen University, Germany; 2: University of Trento, Italy

An adaptive spectral element method for systems of conservation laws

Manuel Colera--Rico¹, Vít Dolejsí²

1: Universidad Politécnica de Madrid, Spain; 2: Charles University of Prague, Czech Republic

A high-order structure-preserving scheme for a model for two-layer thin film flow

Jan Zawallich¹, Rahul Barthwal², Philipp Öffner¹

1: Clausthal University of Technology, Germany; 2: University of Stuttgart, Germany

Hölder continuity for multi-d balance laws

Laura Caravenna¹, Alexander Cliffe¹, Elio Marconi¹, Andrea Pinamonti²

1: University of Padova, Italy; 2: University of Trento, Italy

Regularity of Lagrangian flows associated to singular vector fields

Henrique de Souza, João Fernando Nariyoshi

Universidade de São Paulo, Brazil

Oleinik inequality for balance laws

Rida Harb, Stéphane Junca

LJAD, Université Côte d’Azur, France

On some typicality and density results for nonsmooth vector fields and the associated continuity equation

Francesco Cianfrocca, Stefano Modena

Gran Sasso Science Institute, Italy

Supercitical geometric optics and expected regularity for scalar multi-dimensional nonlinear conservation laws

Christophe Cheverry¹, Rida Harb², Stéphane Junca²

1: IRMAR, Université Rennes, France; 2: LJAD, Université Côte d'Azur, France

Self-similar analysis of strong shock waves in a magnetized, non-ideal, self-gravitating gas with finite electrical conductivity

Sanjay Yadav¹, Priyanshu Yadav²

1: Alliance University Banglore, India; 2: Central University Rajasthan, India

Shock wave evolution and conservation laws in compressible flow via symmetry based analysis

Prince Sharma, Rajan Arora

Indian Institute of Technology Roorkee, India

Interactions of delta shock waves in generalized Chaplygin gas with source terrm

Minhajul Minhajul

BITS Pilani K K Birla Goa Campus, India

Riemann problem for a pressureless gas dynamics system with time-gradually-degenerate linear damping

Richard De la cruz¹, Wladimir Neves²

1: Universidad Pedagógica y Tecnológica de Colombia, Colombia; 2: Universidade Federal do Rio de Janeiro, Brazil

Supersonic reacting jet flows from three-dimensional divergent conical nozzles

Wancheng Sheng

Shanghai University, China, People's Republic of

Experimental and non-hydrostatic Saint-Venant-Exner modeling of dike breach by overtopping

Jorge Moya¹, Ricardo J. L Jónatas², Rui M. L Ferreira³, Silvia Amaral³, C. Escalante⁴, Enrique D. Fernandez-Nieto¹

1: Universidad de Sevilla; 2: LNEC, Laboratório Nacional de Engenharia Civil; 3: CERIS, Instituto Superior Técnico, Universidade de Lisboa; 4: Universidad de Málaga

Combined compressible-incompressible multiphase modelling approach of solid propellant ignition and combustion using an extended discontinous Galerkin method

Daniel Tomaschewski

Fraunhofer ICT, Germany

Smooth perturbations of diagonally implicit Runge–Kutta methods

Zachary Grant¹, John Driscoll¹, Sigal Gottlieb¹, César Herrera², Tej Sai Kakumanu¹, Monica Stephens³

1: University of Massachusetts Dartmouth, USA; 2: Purdue University, USA; 3: Spelmen College, USA

The Hele-Shaw free boundary limit of Buckley-Leverett System

Wladimir Neves, André Gomes

Federal University of Rio de Janeiro, Brazil

A bulk-surface Cahn-Hilliard model for chemically active wetting

Megha Kamath Katapady

University of L'Aquila, Italy

String stability for hysteretic flows

Haitao Fan¹, Andrea Corli²

1: Georgetown University, United States of America; 2: University of Ferrara, Italy

On hyperbolic approximations for a class of dispersive and diffusive-dispersive equations

Rahul Barthwal¹, Firas Dhaouadi², Christian Rohde¹

1: Institute of Applied Analysis and Numerical Simulation, University of Stuttgart; 2: Institut de Mathematiques de Bordeaux

A hyperbolic relaxation approximation of the incompressible Navier-Stokes equations with artificial compressibility

Qian Huang¹, Christian Rohde¹, Wen-An Yong², Ruixi Zhang²

1: University of Stuttgart, Germany; 2: Tsinghua University, China

A structure preserving scheme for the Alber equation, and investigation of the onset of instability

Agissilaos Athanassoulis¹, Irene Kyza², Fotini Karakatsani³

1: University of Dundee, United Kingdom; 2: University of St Andrews, United Kingdom; 3: University of Ioannina, Greece

Well-balanced kinetic relaxation schemes for hyperbolic systems of balance laws

León Miguel Ávila León¹, Manuel Jesús Castro Díaz¹, Victor Michel-Dansac², Emmanuel Frank²

1: Universidad de Malaga, Spain; 2: Institut de Recherche Mathématique Avancée, Strasbourg, France

An arbitrary Lagrangian-Eulerian semi-implicit FV/FE method for continuum mechanics

Saray Busto^1,2

1: Universidade de Santiago de Compostela, Spain; 2: Galician Center for Mathematical Research and Technology (CITMAga), Spain

SCOUT: Semi-Lagrangian COnservative and Unconditionally sTable schemes for nonlinear advection-diffusion problems

Silvia Preda¹, Walter Boscheri², Matteo Semplice¹, Maurizio Tavelli³

1: University of Insubria, Italy; 2: CNRS, France; 3: University of Verona, Italy

An Arbitrary-Lagrangian-Eulerian solver for relativistic detonation waves

Sara Rinaldi, Olindo Zanotti, Michael Dumbser

University of Trento, Italy

Simplex solver for Lagrangian hydrodynamics

Xihua Xu¹, Min Xiao²

1: Institute of Applied Physics and Computational Mathematics, China; 2: China University of Petroleum, Beijing

Galois connections in Hamilton - Jacobi equations and conservation laws

Rinaldo M. Colombo¹, Vincent Perrollaz²

1: University of Brescia, Italy; 2: University of Tours. France

Discrete adjoint gradient computation for multiclass traffic flow models on road networks

Carmen Mezquita-Nieto^1,2,3,4, Paola Goatin^2,3,4, Axel Klar¹

1: AGTM, Fachbereich Mathematik, RPTU Kaiserslautern, Germany; 2: ACUMES, Inria Université Côte d'Azur, France; 3: UCA - Université Côte d'Azur; 4: LJAD - Laboratoire Jean Alexandre Dieudonné

On controllability of conservation laws with space discontinuous flux

Fabio Ancona¹, Luca Talmini²

1: University of Padova, Italy; 2: SISSA-ISAS, Trieste, Italy

A robust optimization framework for sensor networks

Vanshika Datta, Chandal Nahak

Indian Institute of Technology Kharagpur, India

High-fidelity adjoint aerodynamic optimization design based on high-order CFD solvers for NS equations

Kun Wang, Tiegang Liu, Bin Zhang, Jiaxin Wang

Beihang University, China, People's Republic of

Relativistic Navier-Stokes models

Heinrich Freistühler

University of Konstanz, Germany

High order numerical discretizations of the Einstein-Euler equations in the generalized harmonic formulation

Stefano Muzzolon^1,2, Michael Dumbser², Olindo Zanotti², Elena Gaburro¹

1: University of Verona, Italy; 2: University of Trento, Italy

The relativistic Euler equations with Synge energy

Ferdinand Thein¹, Tommaso Ruggeri², Qinghua Xiao³

1: Johannes Gutenberg-University Mainz, Germany; 2: Department of Mathematics University of Bologna and Accademia Nazionale dei Lincei, Italy; 3: Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, China

Constraints preserving Lax-Wendroff flux reconstruction for relativistic hydrodynamics with general equations of state

Sujoy Basak¹, Arpit Babbar², Harish Kumar¹, Praveen Chandrashekar³

1: Indian Institute of Technology Delhi, India; 2: Johannes Gutenberg University Mainz, Germany; 3: Tata Institute of Fundamental Research, India

Provably physical-constraints-preserving alternative finite difference-WENO scheme for special relativistic hydrodynamic (RHD) equations

Shubham Upadhyay, Biswarup Biswas, Rakesh Kumar

Mahindra University, India

Machine learning–enhanced junction modeling for shallow-water channel

Djahou Tognon, Magali Ribot, Bruno Galerne

Université d'Orléans, Institut Dénis Poisson, Orléans France

A structure-preserving numerical method based on a neural network for a hyperbolic relaxation system

Yingjie Song^1,2, Christian Rohde¹

1: University of Stuttgart, Germany; 2: Harbin Institute of Technology, China

A fully-learnable PDE-informed framework for conservation laws

Eduardo Abreu¹, Joao Florindo¹, Wanderson Lambert²

1: University of Campinas, Brazil; 2: Federal University of Alfenas, Brazil

Well-balanced high-order finite-difference methods based on a local flux formulation

Carlos Parés¹, Maria Kazolea², Baifen Ren³

1: Universidad de Málaga, Spain; 2: INRIA Bordeaux, France; 3: Shandong Technology and Business University, China

Entropy analysis and entropy stable DG methods for the shallow water moment equations

Julio Careaga¹, Patrick Ersing², Julian Koellermeier^1,3, Andrew R. Winters²

1: University of Groningen, Netherlands, The; 2: Linköping University, Sweden; 3: Ghent University, Belgium

OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws

Manting Peng¹, Zheng Sun², Kailiang Wu^1,3,4

1: Southern University of Science and Technology, China, People's Republic of; 2: The University of Alabama, United States of America; 3: National Center for Applied Mathematics Shenzhen, China; 4: Department of Mathematics and SUSTech International Center for Mathematics, China

Oscillation-eliminating central DG schemes on Cartesian meshes for hyperbolic conservation laws

Manting Peng¹, Kailiang Wu^1,2, Caiyou Yuan¹

1: Department of Mathematics, Southern University of Science and Technology, Shenzhen, China; 2: Shenzhen International Center for Mathematics, Southern University of Science and Technology, Shenzhen, China