Solenoidal Discrete Initialization for Magnetohydrodynamics. - Rolf Jeltsch; Manuel Torrilhon (HPSC, 2003)

Constraint-Preserving Upwind Methods for Multidimensional Advection Equations. - Manuel Torrilhon; M. Fey (SIAM J. Numer. Anal., 2004)

Locally Divergence-preserving Upwind Finite Volume Schemes for Magnetohydrodynamic Equations. - Manuel Torrilhon (SIAM J. Sci. Comput., 2005)

Two-Dimensional Bulk Microflow Simulations Based on Regularized Grad's 13-Moment Equations. - Manuel Torrilhon (Multiscale Model. Simul., 2006)

Essentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equations. - Manuel Torrilhon; Rolf Jeltsch (Numerische Mathematik, 2007)

Increasing the accuracy in locally divergence-preserving finite volume schemes for MHD. - Robert Artebrant; Manuel Torrilhon (J. Comput. Phys., 2008)

Boundary conditions for regularized 13-moment-equations for micro-channel-flows. - Manuel Torrilhon; Henning Struchtrup (J. Comput. Phys., 2008)

Compact third-order limiter functions for finite volume methods. - Miroslav Cada; Manuel Torrilhon (J. Comput. Phys., 2009)

A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion. - Patrick Jenny; Manuel Torrilhon; Stefan Heinz 002 (J. Comput. Phys., 2010)

Krylov-Riemann Solver for Large Hyperbolic Systems of Conservation Laws. - Manuel Torrilhon (SIAM J. Sci. Comput., 2012)

Affordable robust moment closures for CFD based on the maximum-entropy hierarchy. - James McDonald; Manuel Torrilhon (J. Comput. Phys., 2013)

A robust numerical method for the R13 equations of rarefied gas dynamics: Application to lid driven cavity. - Anirudh Singh Rana; Manuel Torrilhon; Henning Struchtrup (J. Comput. Phys., 2013)

Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres. - Vinay Kumar Gupta; Manuel Torrilhon (Comput. Math. Appl., 2015)

Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models. - Zhenning Cai; Manuel Torrilhon (J. Comput. Phys., 2015)

Reprint of: Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres. - Vinay Kumar Gupta; Manuel Torrilhon (Comput. Math. Appl., 2016)

Hybrid Riemann Solvers for Large Systems of Conservation Laws. - Birte Schmidtmann; Mariia Astrakhantceva; Manuel Torrilhon (CoRR, 2016)

Relations Between WENO3 and Third-Order Limiting in Finite Volume Methods. - Birte Schmidtmann; Benjamin Seibold; Manuel Torrilhon (J. Sci. Comput., 2016)

Third-order Limiting for Hyperbolic Conservation Laws applied to Adaptive Mesh Refinement and Non-Uniform 2D Grids. - Birte Schmidtmann; Pawel Buchmüller; Manuel Torrilhon (CoRR, 2017)

Efficient algorithms and implementations of entropy-based moment closures for rarefied gases. - Roman Pascal Schaerer; Pratyuksh Bansal; Manuel Torrilhon (J. Comput. Phys., 2017)

Hierarchical Boltzmann simulations and model error estimation. - Manuel Torrilhon; Neeraj Sarna (J. Comput. Phys., 2017)

A Hybrid Riemann Solver for Large Hyperbolic Systems of Conservation Laws. - Birte Schmidtmann; Manuel Torrilhon (SIAM J. Sci. Comput., 2017)

Evaporation Boundary Conditions for the Linear R13 Equations Based on the Onsager Theory. - Alexander Felix Beckmann; Anirudh Singh Rana; Manuel Torrilhon; Henning Struchtrup (Entropy, 2018)

Entropy stable Hermite approximation of the linearised Boltzmann equation for inflow and outflow boundaries. - Neeraj Sarna; Manuel Torrilhon (J. Comput. Phys., 2018)

Numerical Simulation of Microflows Using Moment Methods with Linearized Collision Operator. - Zhenning Cai; Manuel Torrilhon (J. Sci. Comput., 2018)

Two-Dimensional Simulation of Rarefied Gas Flows Using Quadrature-Based Moment Equations. - Julian Koellermeier; Manuel Torrilhon (Multiscale Model. Simul., 2018)

Finite element methods for the linear regularized 13-moment equations describing slow rarefied gas flows. - Armin Westerkamp; Manuel Torrilhon (J. Comput. Phys., 2019)

Stable Boundary Conditions and Discretization for PN Equations. - Jonas Bünger; Neeraj Sarna; Manuel Torrilhon (CoRR, 2020)

Entropic quadrature for moment approximations of the Boltzmann-BGK equation. - Niclas Boehmer; Manuel Torrilhon (J. Comput. Phys., 2020)

Gaussian Process Regression for Maximum Entropy Distribution. - Mohsen Sadr; Manuel Torrilhon; M. Hossein Gorji (J. Comput. Phys., 2020)

Simultaneous-approximation-term based boundary discretization for moment equations of rarefied gas dynamics. - Neeraj Sarna; Harshit Kapadia; Manuel Torrilhon (J. Comput. Phys., 2020)

Convergence Analysis of Grad's Hermite Expansion for Linear Kinetic Equations. - Neeraj Sarna; Jan Giesselmann; Manuel Torrilhon (SIAM J. Numer. Anal., 2020)

Entropic Fokker-Planck kinetic model. - M. Hossein Gorji; Manuel Torrilhon (J. Comput. Phys., 2021)

fenicsR13: A Tensorial Mixed Finite Element Solver for the Linear R13 Equations Using the FEniCS Computing Platform. - Lambert Theisen; Manuel Torrilhon (ACM Trans. Math. Softw., 2021)

An efficient jump-diffusion approximation of the Boltzmann equation. - Fabian Mies; Mohsen Sadr; Manuel Torrilhon (J. Comput. Phys., 2023)

Representation Theory Based Algorithm to Compute Boltzmann's Bilinear Collision Operator in the Irreducible Spectral Burnett Ansatz Efficiently. - Andrea Hanke; Manuel Torrilhon (J. Sci. Comput., 2023)

Entropy-conservative high-order methods for high-enthalpy gas flows. - Georgii Oblapenko; Manuel Torrilhon (CoRR, 2024)

On Nonlinear Closures for Moment Equations Based on Orthogonal Polynomials. - Eda Yilmaz; Georgii Oblapenko; Manuel Torrilhon (CoRR, 2024)

Fourth-Order Paired-Explicit Runge-Kutta Methods. - Daniel Doehring; Lars Christmann; Michael Schlottke-Lakemper; Gregor J. Gassner; Manuel Torrilhon (CoRR, 2024)

Multirate time-integration based on dynamic ODE partitioning through adaptively refined meshes for compressible fluid dynamics. - Daniel Doehring; Michael Schlottke-Lakemper; Gregor J. Gassner; Manuel Torrilhon (J. Comput. Phys., 2024)

Linear Regularized 13-Moment Equations with Onsager Boundary Conditions for General Gas Molecules. - Zhenning Cai; Manuel Torrilhon; Siyao Yang (SIAM J. Appl. Math., 2024)

Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations. - Daniel Doehring; Gregor J. Gassner; Manuel Torrilhon (J. Sci. Comput., 2024)

Well-Posedness of the R13 Equations Using Tensor-Valued Korn Inequalities. - Peter Lewintan; Lambert Theisen; Manuel Torrilhon (CoRR, 2025)

A finite element solver for a thermodynamically consistent electrolyte model. - Jan Habscheid; Satyvir Singh; Lambert Theisen; Stefanie Braun; Manuel Torrilhon (CoRR, 2025)

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration. - Daniel Doehring; Hendrik Ranocha; Manuel Torrilhon (CoRR, 2025)