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Listar por autor "Seydaoglu, Muaz"

Mostrando ítems 1-6 de 6

An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrodinger equation

Bader, Philipp; Blanes Zamora, Sergio; Casas, Fernando; Seydaoglu, Muaz (Elsevier, 2022-04)

[EN] 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 matrices and the corresponding error ...
Computing the matrix sine and cosine simultaneously with a reduced number of products

Seydaoglu, Muaz; Bader, Philipp; Blanes Zamora, Sergio; Casas, Fernando (Elsevier, 2021-05)

[EN] 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 of matrix products involved. Two ...
High-order splitting methods for separable non-autonomous parabolic equations

Seydaoglu, Muaz; Blanes Zamora, Sergio (Elsevier, 2014-10)

We consider the numerical integration of non-autonomous separable parabolic equations using high order splitting methods with complex coefficients (methods with real coeffi- cients of order greater than two necessarily ...
Splitting methods for autonomous and non-autonomous perturbed equations

Seydaoglu, Muaz (Universitat Politècnica de València, 2016-10-07)

[EN] This thesis addresses the treatment of perturbed problems with splitting methods. After motivating these problems in Chapter 1, we give a thorough introduction in Chapter 2, which includes the objectives, several basic ...
Symplectic integrators for the matrix Hill equation

Bader, Philipp; Blanes Zamora, Sergio; Ponsoda Miralles, Enrique; Seydaoglu, Muaz (Elsevier, 2017)

[EN] We consider the numerical integration of the matrix Hill equation. Parametric resonances can appear and this property is of great interest in many different physical applications. Usually, Hill s equations originate ...
The scaling, splitting, and squaring method for the exponential of perturbed matrices

Bader, Philipp; Blanes Zamora, Sergio; Seydaoglu, Muaz (Society for Industrial and Applied Mathematics, 2015)

[EN] We propose splitting methods for the computation of the exponential of perturbed matrices which can be written as the sum A = D+epsilon B of a sparse and efficiently exponentiable matrix D with sparse exponential e(D) ...