Project: Unconditional ImEx Stability
Companion paper: Unconditional stability for multistep ImEx schemes: Practice
Description: Supporting codes for practical examples of unconditional stability in PDE problems.
MATLAB Code #1 anomalous_diff3D_decay_test.m
MATLAB Code #2 anomalous_diff3D_mancvg_test.m
MATLAB Code #3 variable_diffusion1D_mancvg_test.m
Companion paper: Unconditional stability for multistep ImEx schemes: Theory
Description: Unconditional stability diagram codes, and example PDE.
MATLAB Code #1 variable_coefficient_imex_chebyshev.m
MATLAB Code #2 plot_stability_diagrams.m
Project: Ground states for an interaction kernel functional
Author: D. ShirokoffCompanion paper: Approximate global minimizers to pairwise interaction problems via convex relaxation
Description: Solves a convex relaxation of the Helmholtz functional (which is a large deviations rate function for the Boltzmann distribution) in one spatial dimension. Solution consists of (i) the optimal autocorrelation (cf. pair correlation function); and (ii) a decomposition of the interaction potential into optimal dual variables consisting of a nonnegative function, a function with nonnegative Fourier modes and a constant.
MATLAB Code #1 LP_Solver_1d.m
