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Approximating a Special Class of Linear Fourth-Order Ordinary Differential Problems

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Approximating a Special Class of Linear Fourth-Order Ordinary Differential Problems

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Defez Candel, E.; Tung, MM.; Ibáñez González, JJ.; Sastre, J. (2016). Approximating a Special Class of Linear Fourth-Order Ordinary Differential Problems. Springer. 577-584. https://doi.org/10.1007/978-3-319-63082-3_89

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/181631

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Title: Approximating a Special Class of Linear Fourth-Order Ordinary Differential Problems
Author: Defez Candel, Emilio Tung, Michael Ming-Sha Ibáñez González, Jacinto Javier Sastre, Jorge
UPV Unit: Universitat Politècnica de València. Departamento de Comunicaciones - Departament de Comunicacions
Universitat Politècnica de València. Departamento de Sistemas Informáticos y Computación - Departament de Sistemes Informàtics i Computació
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] Differential matrix models are an important component of many interesting applications in science and engineering. This work elaborates a procedure to approximate the solutions of special non linear fourth-order matrix ...[+]
Subjects: Higher-order matrix splines , Fourth-order matrix differential equations
Copyrigths: Reserva de todos los derechos
ISBN: 978-3-319-63081-6
Source:
Progress in Industrial Mathematics at ECMI 2016.
DOI: 10.1007/978-3-319-63082-3_89
Publisher:
Springer
Publisher version: https://doi.org/10.1007/978-3-319-63082-3_89
Conference name: 19th European Conference on Mathematics for Industry (ECMI 2016)
Conference place: Santiago de Compostela, Spain
Conference date: Junio 13-17,2016
Series: Mathematics in Industry;26
Project ID:
info:eu-repo/grantAgreement/MINECO//TIN2014-59294-P/ES/FUNCIONES DE MATRICES: CALCULO Y APLICACIONES/
Thanks:
This work has been supported by the Spanish Ministerio de Economía y Competitividad and the European Regional Development Fund (ERDF) under grant TIN2014-59294-P
Type: Comunicación en congreso Capítulo de libro

References

Defez, E., Tung, M.M., Ibáñez, J., Sastre, J.: Approximating and computing nonlinear matrix differential models. Math. Comput. Model. 55(7), 2012–2022 (2012)

Famelis, I., Tsitouras, C.: On modifications of Runge–Kutta–Nyström methods for solving y (4) = f(x, y). Appl. Math. Comput. 273, 726–734 (2016)

Golub, G.H., Loan, C.F.V.: Matrix Computations, 3rd edn. The Johns Hopkins University Press, Baltimore, MD (1996) [+]
Defez, E., Tung, M.M., Ibáñez, J., Sastre, J.: Approximating and computing nonlinear matrix differential models. Math. Comput. Model. 55(7), 2012–2022 (2012)

Famelis, I., Tsitouras, C.: On modifications of Runge–Kutta–Nyström methods for solving y (4) = f(x, y). Appl. Math. Comput. 273, 726–734 (2016)

Golub, G.H., Loan, C.F.V.: Matrix Computations, 3rd edn. The Johns Hopkins University Press, Baltimore, MD (1996)

Hussain, K., Ismail, F., Senu, N.: Two embedded pairs of Runge-Kutta type methods for direct solution of special fourth-order ordinary differential equations. Math. Probl. Eng. 2015 (2015). doi:10.1155/2015/196595

Loscalzo, F.R., Talbot, T.D.: Spline function approximations for solutions of ordinary differential equations. SIAM J. Numer. Anal. 4(3), 433–445 (1967)

Olabode, B., et al.: Implicit hybrid block Numerov-type method for the direct solution of fourth-order ordinary differential equations. Am. J. Comput. Appl. Math. 5(5), 129–139 (2015)

Papakostas, S.N., Tsitmidelis, S., Tsitouras, C.: Evolutionary generation of 7th order Runge - Kutta - Nyström type methods for solving y (4) = f(x, y). In: American Institute of Physics Conference Series, vol. 1702 (2015). doi: 10.1063/1.4938985

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