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20112024
most citedSpectrally accurate space-time solution of Hamiltonian PDEs

54 citations · 136 across the 7 of their papers we have counts for

collaborators

7 papers

math.NA2024

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…

q-bio.PE2022★ 1 cited

Model for prognostic of symptomatic, asymptomatic and hospitalized COVID-19 cases with correct demography evolution

Antonio Rafael Selva Castañeda, Erick Eduardo Ramirez-Torres, Luis Eugenio Valdés-García +4

The aim of this study is to propose a modified Susceptible-Exposed-Infectious-Removed (SEIR) model that describes the behaviour of symptomatic, asymptomatic and hospitalized patien…

physics.bio-ph2022

Simulations of surface charge density changes during the untreated solid tumor growth

Henry Bory Prevez, Argenis Adrian Soutelo Jimenez, Eduardo José Roca Oria +8

Understanding the untreated tumor growth kinetics and its intrinsic findings is interesting and intriguing. The aim of this study is to propose an approximate analytical expression…

math.NA2019★ 33 cited

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…

math.NA2018★ 54 cited

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…

math.NA2017★ 48 cited

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…

eess.SY2011

Chebyshev Polynomials in Distributed Consensus Applications

Eduardo Montijano, Juan I. Montijano, Carlos Sagues

In this paper we analyze the use of Chebyshev polynomials in distributed consensus applications. We study the properties of these polynomials to propose a distributed algorithm tha…