4 citations · 9 across the 5 of their papers we have counts for
6 papers
Linearly Implicit Multistep Methods for Time Integration
Ross Glandon, Mahesh Narayanamurthi, Adrian Sandu
Time integration methods for solving initial value problems are an important component of many scientific and engineering simulations. Implicit time integrators are desirable for t…
Goal-oriented a posteriori estimation of numerical errors in the solution of multiphysics systems
Mahesh Narayanamurthi, Ulrich Römer, Adrian Sandu
This paper develops a general methodology for a posteriori error estimation in time-dependent multiphysics numerical simulations. The methodology builds upon the generalized-struct…
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…
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…
Solving Parameter Estimation Problems with Discrete Adjoint Exponential Integrators
Ulrich Römer, Mahesh Narayanamurthi, Adrian Sandu
The solution of inverse problems in a variational setting finds best estimates of the model parameters by minimizing a cost function that penalizes the mismatch between model outpu…
EPIRK-W and EPIRK-K time discretization methods
Mahesh Narayanamurthi, Paul Tranquilli, Adrian Sandu +1
Exponential integrators are special time discretization methods where the traditional linear system solves used by implicit schemes are replaced with computing the action of matrix…