73 citations · 80 across the 6 of their papers we have counts for
6 papers
Derivation of sixth-order exponential Runge--Kutta methods for stiff systems
Vu Thai Luan, Trky Alhsmy
This work constructs the first-ever sixth-order exponential Runge--Kutta (ExpRK) methods for the time integration of stiff parabolic PDEs. First, we leverage the exponential B-seri…
Exponentially fitted two-derivative DIRK methods for oscillatory differential equations
Julius O. Ehigie, Vu Thai Luan, Solomon A. Okunuga +1
In this work, we construct and derive a new class of exponentially fitted two-derivative diagonally implicit Runge--Kutta (EFTDDIRK) methods for the numerical solution of different…
Explicit Exponential Rosenbrock Methods and their Application in Visual Computing
Vu Thai Luan, Dominik L. Michels
We introduce a class of explicit exponential Rosenbrock methods for the time integration of large systems of stiff differential equations. Their application with respect to simulat…
Fourth-order two-stage explicit exponential integrators for solving differential equations
Vu Thai Luan
Among the family of fourth-order time integration schemes, the two-stage Gauss--Legendre method, which is an implicit Runge--Kutta method based on collocation, is the only supercon…
Preconditioned Implicit-Exponential (IMEXP) Time Integrators for Stiff Differential Equations
Vu Thai Luan, Mayya Tokman, Greg Rainwater
We propose two new classes of time integrators for stiff DEs: the implicit-explicit exponential (IMEXP) and the hybrid exponential methods. In contrast to the existing exponential…
Explicit exponential Runge-Kutta methods of high order for parabolic problems
Vu Thai Luan, Alexander Ostermann
Exponential Runge-Kutta methods constitute efficient integrators for semilinear stiff problems. So far, however, explicit exponential Runge-Kutta methods are available in the liter…