73 citations · 95 across the 8 of their papers we have counts for
8 papers
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.…
Discontinuous Galerkin for the wave equation: a simplified a priori error analysis
Neda Rezaei, Fardin Saedpanah
Standard discontinuous Galerkin methods, based on piecewise polynomials of degree $ \qq=0,1$, are considered for temporal semi-discretization for second order hyperbolic equations.…
Mittag-Leffler Euler integrator for a stochastic fractional order equation with additive noise
Mihály Kovács, Stig Larsson, Fardin Saedpanah
Motivated by fractional derivative models in viscoelasticity, a class of semilinear stochastic Volterra integro-differential equations, and their deterministic counterparts, are co…
Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
Stig Larsson, Milena Racheva, Fardin Saedpanah
An integro-differential equation, modeling dynamic fractional order viscoelasticity, with a Mittag-Leffler type convolution kernel is considered. A discontinuous Galerkin method, b…
Existence and convergence of Galerkin approximation for second order hyperbolic equations with memory
Fardin Saedpanah
We study a second order hyperbolic initial-boundary value partial differential equation with memory, that results in an integro-differential equation with a convolution kernel. The…
Continuous Galerkin finite element methods for hyperbolic integro-differential equations
Fardin Saedpanah
A hyperbolic integro-differential equation is considered, as a model problem, where the convolution kernel is assumed to be either smooth or no worse than weakly singular. Well-pos…
A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation
Fardin Saedpanah
An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A pos…
Well-posedness of an integro-differential equation with positive type kernels modeling fractional order viscoelasticity
Fardin Saedpanah
A hyperbolic type integro-differential equation with two weakly singular kernels is considered together with mixed homogeneous Dirichlet and non-homogeneous Neumann boundary condit…