18 citations · 42 across the 13 of their papers we have counts for
6 papers · 1 filter
A Patankar predictor-corrector approach for positivity-preserving time integration
Kamila Nurkhametova, Reid J. Gomillion, Amit N. Subrahmanya +1
Many natural processes, such as chemical reactions and wave dynamics, are modeled as production-destruction (PD) systems that obey positivity and linear conservation laws. Classica…
Multirate methods for ordinary differential equations
Michael Günther, Adrian Sandu
This survey provides an overview of state-of-the art multirate schemes, which exploit the different time scales in the dynamics of a differential equation model by adapting the com…
ODE Test Problems: a MATLAB suite of initial value problems
Steven Roberts, Andrey A. Popov, Adrian Sandu
ODE Test Problems (OTP) is an object-oriented MATLAB package offering a broad range of initial value problems which can be used to test numerical methods such as time integration m…
A Bayesian Approach to Multivariate Adaptive Localization in Ensemble-Based Data Assimilation with Time-Dependent Extensions
Andrey A Popov, Adrian Sandu
Ever since its inception, the Ensemble Kalman Filter has elicited many heuristic methods that sought to correct it. One such method is localization---the thought that `nearby' vari…
Solving stochastic chemical kinetics by Metropolis Hastings sampling
Azam S. Zavar Moosavi, Paul Tranquilli, Adrian Sandu
This study considers using Metropolis-Hastings algorithm for stochastic simulation of chemical reactions. The proposed method uses SSA (Stochastic Simulation Algorithm) distributio…
Multirate generalized additive Runge Kutta methods
Michael Guenther, Adrian Sandu
This work constructs a new class of multirate schemes based on the recently developed generalized additive Runge-Kutta (GARK) methods (Sandu and Guenther, 2013). Multirate schemes…