Listar IMAC_Articles por autoría "18cdda5e-a9d7-4cbe-af06-73d6685b47b2"
Mostrando ítems 1-5 de 5
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Applying splitting methods with complex coefficients to the numerical integration of unitary problems
American Institute of Mathematical Sciences (AIMS) (2022)We explore the applicability of splitting methods involving complex coefficients to solve numerically the time-dependent Schr¨odinger equation. We prove that a particular class of integrators are conjugate to unitary ... -
Composition Methods for Dynamical Systems Separable into Three Parts
MDPI (2020)New families of fourth-order composition methods for the numerical integration of initial value problems defined by ordinary differential equations are proposed. They are designed when the problem can be separated into ...
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Families of efficient low order processed composition methods
Elsevier (2024-10)New families of composition methods with processing of order 4 and 6 are presented and analyzed. They are specifically designed to be used for the numerical integration of differential equations whose vector field is ...
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High order integrators obtained by linear combinations of symmetric-conjugate compositions
Elsevier (2022-02-01)A new family of methods involving complex coefficients for the numerical integration of differential equations is presented and analyzed. They are constructed as linear combinations of symmetric-conjugate compositions ...
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Runge–Kutta–Nyström symplectic splitting methods of order 8
Elsevier (2022-12)Different families of Runge–Kutta–Nyström (RKN) symplectic splitting methods of order 8 are presented for second-order systems of ordinary differential equations and are tested on numerical examples. They show a better ...
