108 citations · 525 across the 62 of their papers we have counts for
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Efficient implementation of partitioned stiff exponential Runge-Kutta methods
Mahesh Narayanamurthi, Adrian Sandu
Multiphysics systems are driven by multiple processes acting simultaneously, and their simulation leads to partitioned systems of differential equations. This paper studies the sol…
Adaptive Krylov-Type Time Integration Methods
Paul Tranquilli, Ross Glandon, Adrian Sandu
The Rosenbrock-Krylov family of time integration schemes is an extension of Rosenbrock-W methods that employs a specific Krylov based approximation of the linear system solutions a…
Implicit multirate GARK methods
Steven Roberts, John Loffeld, Arash Sarshar +2
This work considers multirate generalized-structure additively partitioned Runge-Kutta (MrGARK) methods for solving stiff systems of ordinary differential equations (ODEs) with mul…
Biorthogonal Rosenbrock-Krylov time discretization methods
Ross Glandon, Paul Tranquilli, Adrian Sandu
Many scientific applications require the solution of large initial-value problems, such as those produced by the method of lines after semi-discretization in space of partial diffe…
Partitioned Exponential Methods for Coupled Multiphysics Systems
Mahesh Narayanamurthi, Adrian Sandu
Multiphysics problems involving two or more coupled physical phenomena are ubiquitous in science and engineering. This work develops a new partitioned exponential approach for the…
Alternating Directions Implicit Integration in a General Linear Method Framework
Arash Sarshar, Steven Roberts, Adrian Sandu
Alternating Directions Implicit (ADI) integration is an operator splitting approach to solve parabolic and elliptic partial differential equations in multiple dimensions based on s…
A Goal-Oriented Adaptive Discrete Empirical Interpolation Method
R. Stefanescu, A. Sandu
In this study we propose a-posteriori error estimation results to approximate the precision loss in quantities of interests computed using reduced order models. To generate the sur…