13 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
4 papers · 1 filter
Symplectic integrators for the matrix Hill's equation and its applications to engineering models
Philipp Bader, Sergio Blanes, Enrique Ponsoda +1
We consider the numerical integration of the matrix Hill's equation. Parametric resonances can appear and this property is of great interest in many different physical applications…
Numerical solution of the Burgers' equation with high order splitting methods
Muaz Seydaoğlu, Utku Erdoğan, Turgut Öziş
In this work, high order splitting methods have been used for calculating the numerical solutions of the Burgers' equation in one space dimension with periodic and Dirichlet bounda…
The Scaling, Splitting and Squaring Method for the Exponential of Perturbed Matrices
Philipp Bader, Sergio Blanes, Muaz Seydaoğlu
We propose splitting methods for the computation of the exponential of perturbed matrices which can be written as the sum of a sparse and efficiently exponentia…
High-order splitting methods for separable non-autonomous parabolic equations
Muaz Seydaoğlu, Sergio Blanes
We consider the numerical integration of non-autonomous separable parabolic equations using high order splitting methods with complex coefficients (methods with real coefficients o…