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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…
Positivity-preserving methods for population models
Sergio Blanes, Arieh Iserles, Shev Macnamara
Many important applications are modelled by differential equations with positive solutions. However, it remains an outstanding open problem to develop numerical methods that are bo…
On symmetric-conjugate composition methods in the numerical integration of differential equations
Sergio Blanes, Fernando Casas, Philippe Chartier +1
We analyze composition methods with complex coefficients exhibiting the so-called ``symmetry-conjugate'' pattern in their distribution. In particular, we study their behavior with…