1 code implementation • 11 Aug 2018 • Matthew S. Mitchell, Matthew T. Miecnikowski, Gregory Beylkin, Scott E. Parker
The standard particle-in-cell algorithm suffers from finite grid errors which break energy conservation, cause numerical dispersion, and create numerical instabilities.
Plasma Physics Computational Physics
1 code implementation • 5 Jul 2015 • Robert J. Harrison, Gregory Beylkin, Florian A. Bischoff, Justus A. Calvin, George I. Fann, Jacob Fosso-Tande, Diego Galindo, Jeff R. Hammond, Rebecca Hartman-Baker, Judith C. Hill, Jun Jia, Jakob S. Kottmann, M-J. Yvonne Ou, Laura E. Ratcliff, Matthew G. Reuter, Adam C. Richie-Halford, Nichols A. Romero, Hideo Sekino, William A. Shelton, Bryan E. Sundahl, W. Scott Thornton, Edward F. Valeev, Álvaro Vázquez-Mayagoitia, Nicholas Vence, Yukina Yokoi
MADNESS (multiresolution adaptive numerical environment for scientific simulation) is a high-level software environment for solving integral and differential equations in many dimensions that uses adaptive and fast harmonic analysis methods with guaranteed precision based on multiresolution analysis and separated representations.
Mathematical Software Computational Engineering, Finance, and Science Numerical Analysis