ADER: Arbitrary High Order Godunov Approach. - Vladimir A. Titarev; Eleuterio F. Toro (J. Sci. Comput., 2002)

TVD Fluxes for the High-Order ADER Schemes. - Eleuterio F. Toro; Vladimir A. Titarev (J. Sci. Comput., 2005)

Derivative Riemann solvers for systems of conservation laws and ADER methods. - Eleuterio F. Toro; Vladimir A. Titarev (J. Comput. Phys., 2006)

MUSTA fluxes for systems of conservation laws. - Eleuterio F. Toro; Vladimir A. Titarev (J. Comput. Phys., 2006)

Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. - Michael Dumbser; Martin Käser; Vladimir A. Titarev; Eleuterio F. Toro (J. Comput. Phys., 2007)

Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry. - Roberto Bernetti; Vladimir A. Titarev; Eleuterio F. Toro (J. Comput. Phys., 2008)

ADER schemes for the shallow water equations in channel with irregular bottom elevation. - Gianluca Vignoli; Vladimir A. Titarev; Eleuterio F. Toro (J. Comput. Phys., 2008)

Exact and approximate solutions of Riemann problems in non-linear elasticity. - Philip T. Barton; Dimitris Drikakis; Evgeniy I. Romenski; Vladimir A. Titarev (J. Comput. Phys., 2009)

WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions. - Panagiotis Tsoutsanis; Vladimir A. Titarev; Dimitris Drikakis (J. Comput. Phys., 2011)

Implicit high-order method for calculating rarefied gas flow in a planar microchannel. - Vladimir A. Titarev (J. Comput. Phys., 2012)

Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. - Vladimir A. Titarev; Michael Dumbser; Sergey V. Utyuzhnikov (J. Comput. Phys., 2014)

Recent Progress on Supercomputer Modelling of High-Speed Rarefied Gas Flows Using Kinetic Equations. - Anna A. Frolova; Vladimir A. Titarev (Supercomput. Front. Innov., 2018)

Comparison of the Shakhov kinetic equation and DSMC method as applied to space vehicle aerothermodynamics. - Vladimir A. Titarev; Anna A. Frolova; V. A. Rykov; P. V. Vashchenkov; A. A. Shevyrin; Ye. A. Bondar (J. Comput. Appl. Math., 2020)

Numerical solution of the Boltzmann equation with S-model collision integral using tensor decompositions. - Alexander V. Chikitkin; Egor K. Kornev; Vladimir A. Titarev (Comput. Phys. Commun., 2021)

Arbitrary Lagrangian-Eulerian discrete velocity method with application to laser-induced plume expansion. - Vladimir A. Titarev; Alexey Morozov (Appl. Math. Comput., 2022)

UCNS3D: An open-source high-order finite-volume unstructured CFD solver. - Antonis F. Antoniadis; Dimitris Drikakis; Pericles S. Farmakis; Lin Fu; Ioannis Kokkinakis; Xesús Nogueira; Paulo A. S. F. Silva; Martin Skote; Vladimir A. Titarev; Panagiotis Tsoutsanis (Comput. Phys. Commun., 2022)

Planar Gas Expansion under Intensive Nanosecond Laser Evaporation into Vacuum as Applied to Time-of-Flight Analysis. - Alexey Morozov; Vladimir A. Titarev (Entropy, 2022)