High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: Viscous heat-conducting fluids and elastic solids. - Michael Dumbser; Ilya Peshkov; Evgeniy I. Romenski; Olindo Zanotti (J. Comput. Phys., 2016)

High order ADER schemes for a unified first order hyperbolic formulation of Newtonian continuum mechanics coupled with electro-dynamics. - Michael Dumbser; Ilya Peshkov; Evgeniy I. Romenski; Olindo Zanotti (J. Comput. Phys., 2017)

High order ADER schemes for continuum mechanics. - Saray Busto; Simone Chiocchetti; Michael Dumbser; Elena Gaburro; Ilya Peshkov (CoRR, 2019)

Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. - Ilya Peshkov; Walter Boscheri; Raphaël Loubère; Evgeniy I. Romenski; Michael Dumbser (J. Comput. Phys., 2019)

On numerical methods for hyperbolic PDE with curl involutions. - Michael Dumbser; Simone Chiocchetti; Ilya Peshkov (CoRR, 2020)

Modeling solid-fluid transformations in non-Newtonian viscoplastic flows with a unified flow theory. - Ilya Peshkov; Michael Dumbser; Walter Boscheri; Evgeniy I. Romenski; Simone Chiocchetti; Matteo Ioriatti (CoRR, 2020)

Computational Model for Compressible Two-Phase Flow in Deformed Porous Medium. - Evgeniy I. Romenski; Galina V. Reshetova; Ilya Peshkov (ICCSA (1), 2021)

A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. - Walter Boscheri; Michael Dumbser; Matteo Ioriatti; Ilya Peshkov; Evgeniy I. Romenski (J. Comput. Phys., 2021)

High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. - Simone Chiocchetti; Ilya Peshkov; Sergey L. Gavrilyuk; Michael Dumbser (J. Comput. Phys., 2021)

A cell-centered implicit-explicit Lagrangian scheme for a unified model of nonlinear continuum mechanics on unstructured meshes. - Walter Boscheri; Simone Chiocchetti; Ilya Peshkov (J. Comput. Phys., 2022)

On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics. - Saray Busto; Michael Dumbser; Ilya Peshkov; Evgeniy I. Romenski (SIAM J. Sci. Comput., 2022)

Unified description of fluids and solids in Smoothed Particle Hydrodynamics. - Ondrej Kincl; Ilya Peshkov; Michal Pavelka; Václav Klika (Appl. Math. Comput., 2023)

Preface for the special issue "Hyperbolic PDE in computational physics: Advanced mathematical models and structure-preserving numerics". - Michael Dumbser; Saray Busto; M. Elena Vázquez-Cendón; Ilya Peshkov (Appl. Math. Comput., 2023)

A unified SHTC multiphase model of continuum mechanics. - Davide Ferrari; Ilya Peshkov; Evgeniy I. Romenski; Michael Dumbser (CoRR, 2024)

Semi-implicit Lagrangian Voronoi Approximation for the incompressible Navier-Stokes equations. - Ondrej Kincl; Ilya Peshkov; Walter Boscheri (CoRR, 2024)

High order discontinuous Galerkin schemes with subcell finite volume limiter and AMR for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations. - Michael Dumbser; Olindo Zanotti; Ilya Peshkov (CoRR, 2024)

Semi-Implicit Lagrangian Voronoi Approximation for Compressible Viscous Fluid Flows. - Ondrej Kincl; Ilya Peshkov; Walter Boscheri (CoRR, 2024)

Variational derivation and compatible discretizations of the Maxwell-GLM system. - Michael Dumbser; Alessia Lucca; Ilya Peshkov; Olindo Zanotti (CoRR, 2024)

A well-balanced discontinuous Galerkin method for the first-order Z4 formulation of the Einstein-Euler system. - Michael Dumbser; Olindo Zanotti; Elena Gaburro; Ilya Peshkov (J. Comput. Phys., 2024)

An implicit-explicit solver for a two-fluid single-temperature model. - Mária Lukácová-Medvid'ová; Ilya Peshkov; Andrea Thomann (J. Comput. Phys., 2024)

Preface for the special issue in memory of Sergei Godunov (17/07/1929 - 15/07/2023). - Rémi Abgrall; Michael Dumbser; Pierre-Henri Maire; Ilya Peshkov; Evgeniy I. Romenski (J. Comput. Phys., 2025)

A unified HTC multiphase model of continuum mechanics. - Davide Ferrari; Ilya Peshkov; Evgeniy I. Romenski; Michael Dumbser (J. Comput. Phys., 2025)

A numerical method based on quasi-Lagrangian Voronoi cells for two-phase flows with large density contrast. - Ondrej Kincl; Ilya Peshkov; Walter Boscheri (CoRR, 2025)