Asymptotic error in Euler's method with a constant step size

DOI10.1016/J.EJCON.2022.100694zbMath1503.65154OpenAlexW4282939268MaRDI QIDQ2095347

Jawher Jerray, Laurent Fribourg, Adnane Saoud

Publication date: 9 November 2022

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejcon.2022.100694

zbMATH Keywords

error analysisgradient descent methodEuler's method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Stability and convergence of numerical methods for ordinary differential equations (65L20) Error bounds for numerical methods for ordinary differential equations (65L70) Methods of reduced gradient type (90C52)

Cites Work

• Contractivity of Runge-Kutta methods
• Global errors of numerical ODE solvers and Lyapunov's theory of stability
• Realization and Discretization of Asymptotically Stable Homogeneous Systems
• Global error estimation with adaptive explicit Runge-Kutta methods
• Co-Coercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities
• Contractivity of Runge--Kutta Methods for Convex Gradient Systems
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