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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…
math.NA2024★ 3 cited
Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates
Lun Ji, Hang Li, Alexander Ostermann +1
We investigate a filtered Lie-Trotter splitting scheme for the ``good" Boussinesq equation and derive an error estimate for initial data with very low regularity. Through the use o…