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International Journal of Computer Mathematics Volume 91, 2014 - Issue 1: Advanced Computational Engineering
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Section B

Accurate and efficient matrix exponential computation

J. SastreInstituto de Telecomunicaciones y Aplicaciones Multimedia, Universitat Politècnica de València (UPV), Valencia, SpainCorrespondence[email protected]
,
J. IbáñezInstituto de Instrumentación para Imagen Molecular, Universitat Politècnica de València (UPV), Valencia, Spain
,
P. RuizInstituto de Instrumentación para Imagen Molecular, Universitat Politècnica de València (UPV), Valencia, Spain
&
E. DefezInstituto de Matemática Multidisciplinar, Universitat Politècnica de València (UPV), Valencia, Spain
Pages 97-112 | Received 12 Nov 2012, Accepted 21 Mar 2013, Published online: 24 May 2013

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Matthias Ehrhardt, Lucas Jódar Sánchez & Rafael Jacinto Villanueva Micó. (2014) Advanced computational engineering. International Journal of Computer Mathematics 91:1, pages 1-3.
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Articles from other publishers (12)

José M. Alonso, J. Ibáñez, E. Defez & P. Alonso-Jordá. (2023) Euler polynomials for the matrix exponential approximation. Journal of Computational and Applied Mathematics 425, pages 115074.
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José M. Alonso, Javier Ibáñez, Emilio Defez & Fernando Alvarruiz. (2023) Accurate Approximation of the Matrix Hyperbolic Cosine Using Bernoulli Polynomials. Mathematics 11:3, pages 520.
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Emilio Defez, Javier Ibáñez, José M. Alonso & Pedro Alonso‐Jordá. (2020) On Bernoulli series approximation for the matrix cosine. Mathematical Methods in the Applied Sciences 45:6, pages 3239-3253.
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Javier Ibáñez, José M. Alonso, Pedro Alonso-Jordá, Emilio Defez & Jorge Sastre. (2022) Two Taylor Algorithms for Computing the Action of the Matrix Exponential on a Vector. Algorithms 15:2, pages 48.
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Muaz Seydaoğlu, Yusuf Uçar & Selçuk Kutluay. (2021) An efficient Strang splitting technique combined with the multiquadric-radial basis function for the Burgers’ equation. Computational and Applied Mathematics 40:8.
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Feng Wu, Kailing Zhang, Li Zhu & Jiayao Hu. (2021) High-Performance Computation of the Exponential of a Large Sparse Matrix. SIAM Journal on Matrix Analysis and Applications 42:4, pages 1636-1655.
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Massimiliano Fasi & Nicholas J. Higham. (2019) An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential. SIAM Journal on Matrix Analysis and Applications 40:4, pages 1233-1256.
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M. Caliari & F. Zivcovich. (2019) On-the-fly backward error estimate for matrix exponential approximation by Taylor algorithm. Journal of Computational and Applied Mathematics 346, pages 532-548.
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J. Sastre, J. Ibáñez & E. Defez. (2019) Boosting the computation of the matrix exponential. Applied Mathematics and Computation 340, pages 206-220.
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P. Ruiz, J. Sastre, J. Ibáñez & E. Defez. (2016) High performance computing of the matrix exponential. Journal of Computational and Applied Mathematics 291, pages 370-379.
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Emilio Defez, Vicente Soler & Roberto Capilla. (2015) On the Construction of Analytic-Numerical Approximations for a Class of Coupled Differential Models in Engineering. Open Journal of Modelling and Simulation 03:01, pages 1-18.
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Philipp Bader, Sergio Blanes & Muaz Seydaoğlu. (2015) The Scaling, Splitting, and Squaring Method for the Exponential of Perturbed Matrices. SIAM Journal on Matrix Analysis and Applications 36:2, pages 594-614.
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