2 papers
math.NA2024
The exponential trapezoidal method for semilinear integro-differential equations
Alexander Ostermann, Nasrin Vaisi
The exponential trapezoidal rule is proposed and analyzed for the numerical integration of semilinear integro-differential equations. Although the method is implicit, the numerical…
math.NA2022
Explicit exponential Runge-Kutta methods for semilinear integro-differential equations
Alexander Ostermann, Fardin Saedpanah, Nasrin Vaisi
The aim of this paper is to construct and analyze explicit exponential Runge-Kutta methods for the temporal discretization of linear and semilinear integro-differential equations.…