Begoña
Cano Urdiales
Publicacións (49) Publicacións de Begoña Cano Urdiales
2022
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CMMSE: Analysis of order reduction when Lawson methods integrate nonlinear initial boundary value problems
Mathematical Methods in the Applied Sciences, Vol. 45, Núm. 17, pp. 11319-11330
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How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems
BIT Numerical Mathematics, Vol. 62, Núm. 2, pp. 431-463
2021
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Comparison of efficiency among different techniques to avoid order reduction with Strang splitting
Numerical Methods for Partial Differential Equations, Vol. 37, Núm. 1, pp. 854-873
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Efficient time integration of nonlinear partial differential equations by means of rosenbrock methods
Mathematics, Vol. 9, Núm. 16
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Why improving the accuracy of exponential integrators can decrease their computational cost?
Mathematics, Vol. 9, Núm. 9
2020
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A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems
Applied Mathematics and Computation, Vol. 373
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On nonparaxial nonlinear Schrödinger-type equations
Journal of Computational and Applied Mathematics, Vol. 373
2019
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Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods
Journal of Computational and Applied Mathematics, Vol. 357, pp. 228-250
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Divulgando en píldoras y desarrollando competencias orales y escritas en el alumnado de Cálculo Numérico
IN-RED 2019: V Congreso de Innovación Educativa y Docencia en Red
2018
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Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods
IMA Journal of Numerical Analysis, Vol. 38, Núm. 3, pp. 1294-1323
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Exponential quadrature rules without order reduction for integrating linear initial boundary value problems
SIAM Journal on Numerical Analysis, Vol. 56, Núm. 3, pp. 1187-1209
2017
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Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods
Applied Numerical Mathematics, Vol. 118, pp. 64-74
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Avoiding order reduction when integrating linear initial boundary value problems with Lawson methods
IMA Journal of Numerical Analysis, Vol. 37, Núm. 4, pp. 2091-2119
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Avoiding order reduction when integrating nonlinear Schrödinger equation with Strang method
Journal of Computational and Applied Mathematics, Vol. 316, pp. 86-99
2016
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Plane waves numerical stability of some explicit exponential methods for cubic schrodinger equation
Journal of Computational Mathematics, Vol. 34, Núm. 4, pp. 385-406
2015
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Exponential time integration of solitary waves of cubic Schrödinger equation
Applied Numerical Mathematics, Vol. 91, pp. 26-45
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Projected explicit lawson methods for the integration of schrödinger equation
Numerical Methods for Partial Differential Equations, Vol. 31, Núm. 1, pp. 78-104
2013
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Conservation of invariants by symmetric multistep cosine methods for second-order partial differential equations
BIT Numerical Mathematics, Vol. 53, Núm. 1, pp. 29-56
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Efficient numerical solvers for the nonlinear beam and wave equations
Journal of Physics: Conference Series
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High-order symmetric multistep cosine methods
Applied Numerical Mathematics, Vol. 66, pp. 30-44