Euler splitting method for solving nonlinear composite stiff impulsive differential equations

DOI10.12286/jssx.j2022-0967MaRDI QIDQ6665210

Zhi Lv, Yuexin Yu

Publication date: 17 January 2025

Published in: Mathematica Numerica Sinica (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceEuler splitting methodnonlinear composite stiff impulsive differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for stiff equations (65L04)

Cites Work

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• Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems
• Asymptotical stability of the exact solutions and the numerical solutions for a class of impulsive differential equations
• The analytic and numerical stability of stiff impulsive differential equations in Banach space
• Canonical Euler splitting method for nonlinear composite stiff evolution equations
• Stability analysis of analytical and numerical solutions to nonlinear delay differential equations with variable impulses
• Implicit-explicit one-leg methods for nonlinear stiff neutral equations
• Analytic and numerical exponential asymptotic stability of nonlinear impulsive differential equations
• Stability of IMEX Runge-Kutta methods for delay differential equations
• Stability and convergence analysis of implicit–explicit one-leg methods for stiff delay differential equations
• Solving semi-linear stiff neutral equations by implicit–explicit Runge-Kutta methods
• Razumikhin-type theorems on exponential stability of impulsive delay systems

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