Well-balanced schemes for the Euler equations with gravitation. - Roger Käppeli; S. Mishra (J. Comput. Phys., 2014)

Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation Laws. - Ulrik S. Fjordholm; Roger Käppeli; Siddhartha Mishra; Eitan Tadmor (Found. Comput. Math., 2017)

Von Neumann stability analysis of globally divergence-free RKDG schemes for the induction equation using multidimensional Riemann solvers. - Dinshaw S. Balsara; Roger Käppeli (J. Comput. Phys., 2017)

von Neumann stability analysis of globally constraint-preserving DGTD and PNPM schemes for the Maxwell equations using multidimensional Riemann solvers. - Dinshaw S. Balsara; Roger Käppeli (J. Comput. Phys., 2019)

High-order well-balanced finite volume schemes for the Euler equations with gravitation. - Luc Grosheintz-Laval; Roger Käppeli (J. Comput. Phys., 2019)

High order discretely well-balanced finite volume methods for Euler equations with gravity - without any à priori information about the hydrostatic solution. - Jonas P. Berberich; Roger Käppeli; Praveen Chandrashekar; Christian Klingenberg (CoRR, 2020)

Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design. - Dinshaw S. Balsara; Roger Käppeli; Walter Boscheri; Michael Dumbser (CoRR, 2020)

Well-balanced finite volume schemes for nearly steady adiabatic flows. - Luc Grosheintz-Laval; Roger Käppeli (J. Comput. Phys., 2020)

Optimal, globally constraint-preserving, DG(TD)2 schemes for computational electrodynamics based on two-derivative Runge-Kutta timestepping and multidimensional generalized Riemann problem solvers - A von Neumann stability analysis. - Roger Käppeli; Dinshaw S. Balsara; Praveen Chandrashekar; Arijit Hazra (J. Comput. Phys., 2020)

Von Neumann Stability Analysis of DG-like and PNPM-like Schemes for PDEs that have Globally Curl-Preserving Evolution of Vector Fields. - Dinshaw S. Balsara; Roger Käppeli (CoRR, 2021)

Poseidon: Efficient Foundation Models for PDEs. - Maximilian Herde; Bogdan Raonic; Tobias Rohner; Roger Käppeli; Roberto Molinaro; Emmanuel de Bézenac; Siddhartha Mishra (NeurIPS, 2024)

Physical Constraint Preserving Higher Order Finite Volume Schemes for Divergence-Free Astrophysical MHD and RMHD. - Dinshaw S. Balsara; Deepak Bhoriya; Chetan Singh; Harish Kumar 001; Roger Käppeli; Federico Gatti (CoRR, 2025)