3 papers
math.NA2026
Fully discrete scheme for the fifth-order KdV-Burgers-Fisher equation using Strang splitting and Fourier collocation methods
Nurcan Gücüyenen Kaymak, Fatma Zürnacı-Yetiş, Muaz Seydaoğlu
Operator splitting is an effective technique for the numerical solution of nonlinear partial differential equations by decomposing a complex problem into simpler subproblems. In th…
math.NA2021
An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation
Philipp Bader, Sergio Blanes, Fernando Casas +1
We present a practical algorithm to approximate the exponential of skew-Hermitian matrices up to round-off error based on an efficient computation of Chebyshev polynomials of matri…
math.NA2020
Computing the matrix sine and cosine simultaneously with a reduced number of products
Muaz Seydaoglu, Philipp Bader, Sergio Blanes +1
A new procedure is presented for computing the matrix cosine and sine simultaneously by means of Taylor polynomial approximations. These are factorized so as to reduce the number o…