Christiane Helzel

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 10

Top Topics

Conservation Laws

Objective Function

Shows Significant Improvement

Top Venues

J. Sci. Comput.

Multiscale Model. Simul.

Appl. Math. Comput.

Publications

Sina Dahm, Jan Giesselmann, Christiane Helzel
Numerical Discretisation of Hyperbolic Systems of Moment Equations Describing Sedimentation in Suspensions of Rod-Like Particles. CoRR (2024)
Sina Dahm, Jan Giesselmann, Christiane Helzel
Numerical discretisation of hyperbolic systems of moment equations describing sedimentation in suspensions of rod-like particles. J. Comput. Phys. 513 (2024)
Erik Chudzik, Christiane Helzel, Mária Lukácová-Medvid'ová
Active Flux Methods for Hyperbolic Systems Using the Method of Bicharacteristics. J. Sci. Comput. 99 (1) (2024)
Donna A. Calhoun, Erik Chudzik, Christiane Helzel
The Cartesian Grid Active Flux Method with Adaptive Mesh Refinement. J. Sci. Comput. 94 (3) (2023)
Sina Dahm, Christiane Helzel
Hyperbolic Systems of Moment Equations Describing Sedimentation in Suspensions of Rod-Like Particles. Multiscale Model. Simul. 20 (3) (2022)
Donna A. Calhoun, Erik Chudzik, Christiane Helzel
The Cartesian Grid Active Flux Method with Adaptive Mesh Refinement. CoRR (2022)
Erik Chudzik, Christiane Helzel, David Kerkmann
The Cartesian Grid Active Flux Method: Linear stability and bound preserving limiting. Appl. Math. Comput. 393 (2021)
Christiane Helzel, David Kerkmann, Leonardo Scandurra
A New ADER Method Inspired by the Active Flux Method. J. Sci. Comput. 80 (3) (2019)
Christiane Helzel, Athanasios E. Tzavaras
A Kinetic Model for the Sedimentation of Rod-Like Particles. Multiscale Model. Simul. 15 (1) (2017)
Pawel Buchmüller, Jürgen Dreher, Christiane Helzel
Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement. Appl. Math. Comput. 272 (2016)
Pawel Buchmüller, Christiane Helzel
Improved Accuracy of High-Order WENO Finite Volume Methods on Cartesian Grids. J. Sci. Comput. 61 (2) (2014)
Christiane Helzel, James A. Rossmanith, Bertram Taetz
A High-Order Unstaggered Constrained-Transport Method for the Three-Dimensional Ideal Magnetohydrodynamic Equations Based on the Method of Lines. SIAM J. Sci. Comput. 35 (2) (2013)
Marsha J. Berger, Christiane Helzel
A Simplified h-box Method for Embedded Boundary Grids. SIAM J. Sci. Comput. 34 (2) (2012)
Christiane Helzel, James A. Rossmanith, Bertram Taetz
An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations. J. Comput. Phys. 230 (10) (2011)
Donna A. Calhoun, Christiane Helzel
A Finite Volume Method for Solving Parabolic Equations on Logically Cartesian Curved Surface Meshes. SIAM J. Sci. Comput. 31 (6) (2009)
Donna A. Calhoun, Christiane Helzel, Randall J. LeVeque
Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains. SIAM Rev. 50 (4) (2008)
Christiane Helzel, Felix Otto
Multiscale simulations for suspensions of rod-like molecules. J. Comput. Phys. 216 (1) (2006)
Christiane Helzel, Marsha J. Berger, Randall J. LeVeque
A High-Resolution Rotated Grid Method for Conservation Laws with Embedded Geometries. SIAM J. Sci. Comput. 26 (3) (2005)
Marsha J. Berger, Christiane Helzel, Randall J. LeVeque
-Box Methods for the Approximation of Hyperbolic Conservation Laws on Irregular Grids. SIAM J. Numer. Anal. 41 (3) (2003)
Christiane Helzel, Randall J. LeVeque, Gerald Warnecke
A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves. SIAM J. Sci. Comput. 22 (4) (2000)