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03/20/2023
A new Legendre polynomial-based approach for non-autonomous linear ODEs
We introduce a new method with spectral accuracy to solve linear non-aut...
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02/22/2023
A new closed-form expression for the solution of ODEs in a ring of distributions and its connection with the matrix algebra
A new expression for solving homogeneous linear ODEs based on a generali...
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10/13/2022
A new matrix equation expression for the solution of non-autonomous linear systems of ODEs
The solution of systems of non-autonomous linear ordinary differential e...
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09/30/2022
A ⋆-product solver with spectral accuracy for non-autonomous ordinary differential equations
A new method for solving non-autonomous ordinary differential equations ...
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09/27/2022
The *-product approach for linear ODEs: a numerical study of the scalar case
Solving systems of non-autonomous ordinary differential equations (ODE) ...
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03/06/2021
The Short-term Rational Lanczos Method and Applications
Rational Krylov subspaces have become a reference tool in dimension redu...
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10/10/2019
Lanczos-like algorithm for the time-ordered exponential: The ∗-inverse problem
The time-ordered exponential of a time-dependent matrix A(t) is defined ...
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09/08/2019
Lanczos-like method for the time-ordered exponential
The time-ordered exponential is defined as the function that solves any ...
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09/15/2017