A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves. - Christiane Helzel; Randall J. LeVeque; Gerald Warnecke (SIAM J. Sci. Comput., 2000)

H-Box Methods for the Approximation of Hyperbolic Conservation Laws on Irregular Grids. - Marsha J. Berger; Christiane Helzel; Randall J. LeVeque (SIAM J. Numer. Anal., 2003)

A High-Resolution Rotated Grid Method for Conservation Laws with Embedded Geometries. - Christiane Helzel; Marsha J. Berger; Randall J. LeVeque (SIAM J. Sci. Comput., 2005)

Multiscale simulations for suspensions of rod-like molecules. - Christiane Helzel; Felix Otto (J. Comput. Phys., 2006)

Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains. - Donna A. Calhoun; Christiane Helzel; Randall J. LeVeque (SIAM Rev., 2008)

A Finite Volume Method for Solving Parabolic Equations on Logically Cartesian Curved Surface Meshes. - Donna A. Calhoun; Christiane Helzel (SIAM J. Sci. Comput., 2009)

An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations. - Christiane Helzel; James A. Rossmanith; Bertram Taetz (J. Comput. Phys., 2011)

A Simplified h-box Method for Embedded Boundary Grids. - Marsha J. Berger; Christiane Helzel (SIAM J. Sci. Comput., 2012)

A High-Order Unstaggered Constrained-Transport Method for the Three-Dimensional Ideal Magnetohydrodynamic Equations Based on the Method of Lines. - Christiane Helzel; James A. Rossmanith; Bertram Taetz (SIAM J. Sci. Comput., 2013)

Improved Accuracy of High-Order WENO Finite Volume Methods on Cartesian Grids. - Pawel Buchmüller; Christiane Helzel (J. Sci. Comput., 2014)

Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement. - Pawel Buchmüller; Jürgen Dreher; Christiane Helzel (Appl. Math. Comput., 2016)

A Kinetic Model for the Sedimentation of Rod-Like Particles. - Christiane Helzel; Athanasios E. Tzavaras (Multiscale Model. Simul., 2017)

A New ADER Method Inspired by the Active Flux Method. - Christiane Helzel; David Kerkmann; Leonardo Scandurra (J. Sci. Comput., 2019)

The Cartesian Grid Active Flux Method: Linear stability and bound preserving limiting. - Erik Chudzik; Christiane Helzel; David Kerkmann (Appl. Math. Comput., 2021)

Hyperbolic Systems of Moment Equations Describing Sedimentation in Suspensions of Rod-Like Particles. - Sina Dahm; Christiane Helzel (Multiscale Model. Simul., 2022)

The Cartesian Grid Active Flux Method with Adaptive Mesh Refinement. - Donna A. Calhoun; Erik Chudzik; Christiane Helzel (J. Sci. Comput., 2023)

Numerical discretisation of hyperbolic systems of moment equations describing sedimentation in suspensions of rod-like particles. - Sina Dahm; Jan Giesselmann; Christiane Helzel (J. Comput. Phys., 2024)

Active Flux Methods for Hyperbolic Systems Using the Method of Bicharacteristics. - Erik Chudzik; Christiane Helzel; Mária Lukácová-Medvid'ová (J. Sci. Comput., 2024)

A positivity-preserving Active Flux method for the Vlasov-Poisson system. - Yanick Kiechle; Erik Chudzik; Christiane Helzel (J. Comput. Phys., 2025)

A Fully Discrete Truly Multidimensional Active Flux Method For The Two-Dimensional Euler Equations. - Erik Chudzik; Christiane Helzel; Amelie Porfetye (CoRR, 2025)