Approximating and computing nonlinear matrix differential models

DOI10.1016/j.mcm.2011.11.060zbMath1255.65148OpenAlexW2039568826MaRDI QIDQ1933891

Michael M. Tung, Jorge Sastre, Jacinto-Javier Ibáñez, Emilio Defez

Publication date: 27 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.11.060

zbMATH Keywords

higher-order matrix splinesfirst-order matrix differential equations

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (5)

Numerical approximations of second-order matrix differential equations using higher degree splines ⋮ Applications of soft sets in BE-algebras. ⋮ A numerical approach based on Bernstein collocation method: application to differential Lyapunov and Sylvester matrix equations ⋮ A new efficient and accurate spline algorithm for the matrix exponential computation ⋮ An iterative algorithm for robust simulation of the Sylvester matrix differential equations

Cites Work

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• Cubic splines method for a system of third-order boundary value problems
• On a class of rational matrix differential equations arising in stochastic control.
• Numerical solutions of matrix differential models using cubic matrix splines. II
• Iterative Solution of Nonlinear Equations in Several Variables
• Spline Function Approximations for Solutions of Ordinary Differential Equations
• Explicit Solutions of Linear Matrix Equations

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