54 citations · 136 across the 7 of their papers we have counts for
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Modified Singly-Runge-Kutta-TASE methods for the numerical solution of stiff differential equations
M. Calvo, J. I. Montijano, L. Rández
Singly-TASE operators for the numerical solution of stiff differential equations were proposed by Calvo et al. in J.Sci. Comput. 2023 to reduce the computational cost of Runge-Kutt…
High-order energy-conserving Line Integral Methods for charged particle dynamics
L. Brugnano, J. I. Montijano, L. Rández
In this paper we study arbitrarily high-order energy-conserving methods for simulating the dynamics of a charged particle. They are derived and studied within the framework of Line…
Spectrally accurate space-time solution of Hamiltonian PDEs
Luigi Brugnano, Felice Iavernaro, Juan I. Montijano +1
Recently, the numerical solution of multi-frequency, highly-oscillatory Hamiltonian problems has been attacked by using Hamiltonian Boundary Value Methods (HBVMs) as spectral metho…
On the effectiveness of spectral methods for the numerical solution of multi-frequency highly-oscillatory Hamiltonian problems
L. Brugnano, J. I. Montijano, L. Rández
Multi-frequency, highly-oscillatory Hamiltonian problems derive from the mathematical modelling of many real life applications. We here propose a variant of Hamiltonian Boundary Va…