Showing math.NAShow all
3 papers · 1 filter
math.NA2022
Bidiagonal Decompositions of Vandermonde-Type Matrices of Arbitrary Rank
Jorge Delgado, Plamen Koev, Ana Marco +4
We present a method to derive new explicit expressions for bidiagonal decompositions of Vandermonde and related matrices such as the (q-, h-) Bernstein-Vandermonde ones, among othe…
math.NA2019
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method
Matthew J. Zahr, Andrew Shi, Per-Olof Persson
A novel framework for resolving discontinuous solutions of conservation laws, e.g., contact lines, shock waves, and interfaces, using implicit tracking and a high-order discontinuo…
math.NA2019
High-order partitioned spectral deferred correction solvers for multiphysics problems
Daniel Z. Huang, Will Pazner, Per-Olof Persson +1
We present an arbitrarily high-order, conditionally stable, partitioned spectral deferred correction (SDC) method for solving multiphysics problems using a sequence of pre-existing…