research
∙
12/22/2022
Stability Analysis and Performance Evaluation of Mixed-Precision Runge-Kutta Methods
Additive Runge-Kutta methods designed for preserving highly accurate sol...
share
research
∙
11/25/2022
Discontinuous Galerkin method for linear wave equations involving derivatives of the Dirac delta distribution
Linear wave equations sourced by a Dirac delta distribution δ(x) and its...
research
∙
07/07/2021
Performance Evaluation of Mixed-Precision Runge-Kutta Methods
Additive Runge-Kutta methods designed for preserving highly accurate sol...
research
∙
02/23/2021
High order unconditionally strong stability preserving multi-derivative implicit and IMEX Runge–Kutta methods with asymptotic preserving properties
In this work we present a class of high order unconditionally strong sta...
research
∙
01/14/2021
An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation
The need for multiple interactive, real-time simulations using different...
research
∙
10/13/2020
A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD
In simulations of fluid motion time accuracy has proven to be elusive. W...
research
∙
10/09/2020
A GPU-accelerated mixed-precision WENO method for extremal black hole and gravitational wave physics computations
We develop and use a novel mixed-precision weighted essentially non-osci...
research
∙
12/19/2019
IMEX error inhibiting schemes with post-processing
High order implicit-explicit (IMEX) methods are often desired when evolv...
research
∙
12/09/2019
Two-derivative error inhibiting schemes with post-processing
High order methods are often desired for the evolution of ordinary diffe...
research
∙
10/07/2019
Explicit and implicit error inhibiting schemes with post-processing
Efficient high order numerical methods for evolving the solution of an o...
research
∙
06/18/2019