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

Projective Integration for Moment Models of the BGK Equation. - Julian Koellermeier; Giovanni Samaey (ICCS (6), 2020)

Spline Moment Models for the one-dimensional Boltzmann-BGK equation. - Julian Koellermeier; Ullika Scholz (CoRR, 2020)

Shallow Water Moment models for bedload transport problems. - José Garres-Díaz; Manuel Jesús Castro Díaz; Julian Koellermeier; Tomás Morales de Luna (CoRR, 2020)

Equilibrium Stability Analysis of Hyperbolic Shallow Water Moment Equations. - Qian Huang; Julian Koellermeier; Wen-An Yong (CoRR, 2020)

Accelerating the Convergence of the Moment Method for the Boltzmann Equation Using Filters. - Yuwei Fan; Julian Koellermeier (J. Sci. Comput., 2020)

On the efficient implementation of PVM methods and simple Riemann solvers. Application to the Roe method for large hyperbolic systems. - Ernesto Pimentel-García; Carlos Parés; Manuel J. Castro; Julian Koellermeier (Appl. Math. Comput., 2021)

Spatially Adaptive Projective Integration Schemes For Stiff Hyperbolic Balance Laws With Spectral Gaps. - Julian Koellermeier; Giovanni Samaey (CoRR, 2021)

Steady states and well-balanced schemes for shallow water moment equations with topography. - Julian Koellermeier; Ernesto Pimentel-García (Appl. Math. Comput., 2022)

Projective Integration for Hyperbolic Shallow Water Moment Equations. - Amrita Amrita; Julian Koellermeier (Axioms, 2022)

Hilbert expansion based fluid models for kinetic equations describing neutral particles in the plasma edge of a fusion device. - Vince Maes; Wouter Dekeyser; Julian Koellermeier; Martine Baelmans; Giovanni Samaey (CoRR, 2023)

Hyperbolic Axisymmetric Shallow Water Moment Equations. - Rik Verbiest; Julian Koellermeier (CoRR, 2023)

Model Order Reduction for the 1D Boltzmann-BGK Equation: Identifying Intrinsic Variables Using Neural Networks. - Julian Koellermeier; Philipp Krah; Julius Reiss; Zachary Schellin (CoRR, 2023)

A Flux Reconstruction Stochastic Galerkin Scheme for Hyperbolic Conservation Laws. - Tianbai Xiao; Jonas Kusch; Julian Koellermeier; Martin Frank (J. Sci. Comput., 2023)

Hierarchical micro-macro acceleration for moment models of kinetic equations. - Julian Koellermeier; Hannes Vandecasteele (J. Comput. Phys., 2023)

Predicting the statistical error of analog particle tracing Monte Carlo. - Vince Maes; Ignace Bossuyt; Hannes Vandecasteele; Wouter Dekeyser; Julian Koellermeier; Martine Baelmans; Giovanni Samaey (CoRR, 2024)

Macro-micro decomposition for consistent and conservative model order reduction of hyperbolic shallow water moment equations: a study using POD-Galerkin and dynamical low-rank approximation. - Julian Koellermeier; Philipp Krah; Jonas Kusch (Adv. Comput. Math., 2024)

Projective integration methods in the Runge-Kutta framework and the extension to adaptivity in time. - Julian Koellermeier; Giovanni Samaey (J. Comput. Appl. Math., 2025)

A semi-implicit exactly fully well-balanced relaxation scheme for the Shallow Water Linearized Moment Equations. - C. Caballero-Cárdenas; I. Gómez-Bueno; Alessia Del Grosso; Julian Koellermeier; Tomás Morales de Luna (CoRR, 2025)

Primitive variable regularization to derive novel Hyperbolic Shallow Water Moment Equations. - Julian Koellermeier (CoRR, 2025)

A Coupled Hydro-Morphodynamic Model for Sediment Transport using the Moment Approach. - Afroja Parvin; Giovanni Samaey; Julian Koellermeier (CoRR, 2025)

Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Linearized Moment Equations. - Yangyang Cao; Qian Huang; Julian Koellermeier; Alexander Kurganov; Yongle Liu (CoRR, 2025)

High order global flux schemes for general steady state preservation of shallow water moment equations with non-conservative products. - Mirco Ciallella; Julian Koellermeier (CoRR, 2025)

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for shallow water linearized moment equations. - Ruilin Fan; Julian Koellermeier; Yinhua Xia; Yan Xu 008; Jiahui Zhang (CoRR, 2025)

Spline Shallow Water Moment Equations. - Ullika Scholz; Julian Koellermeier (CoRR, 2025)