Construction and computation of variable coefficient Sylvester differential problems

DOI10.1016/0898-1221(96)00165-4zbMath0864.65046OpenAlexW2016080839MaRDI QIDQ1352787

José-Luis Morera, Lucas Jodar, José Luis Cortés

Publication date: 22 June 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00165-4

zbMATH Keywords

initial value problemerror boundFrobenius methodvariable coefficientGronwall's inequalitynumerical series solutionSylvester differential equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items

Numerical solutions of matrix differential models using higher-order matrix splines ⋮ Random analytic solution of coupled differential models with uncertain initial condition and source term ⋮ Numerical solution of matrix differential models using cubic matrix splines

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving a class of generalized Lyapunov operator differential equations without the exponential operator function
• Computing continuous numerical solutions of matrix differential equations
• Lyapunov matrix equations in system stability and control.
• On a numerical method of solving the Lyapunov and Sylvester equations
• Trends in large space structure control theory: Fondest hopes, wildest dreams
• The numerical solution of<tex>X = A_{1}X + XA_{2} + D, X(0) = C</tex>
• The numerical solution of<tex>Ẋ = A_{1}X + XA_{2} + D, X(0) = C</tex>
• A new numerical solution of<tex>Ẋ = A_{1}X + XA_{2} + D, X(0) = C</tex>

This page was built for publication: Construction and computation of variable coefficient Sylvester differential problems