2 papers
math.NA2024
Highly efficient NURBS-based isogeometric analysis for coupled nonlinear diffusion-reaction equations with and without advection
Ilham Asmouh, Alexander Ostermann
Nonlinear diffusion-reaction systems model a multitude of physical phenomena. A common situation is biological development modeling where such systems have been widely used to stud…
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…