Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space

DOI10.1137/21M1443273OpenAlexW4366974934MaRDI QIDQ5889032

Shou-fu Li, Wan-Sheng Wang

Publication date: 26 April 2023

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m1443273

zbMATH Keywords

monotonicitystabilityexponential stabilityRunge-Kutta methodslinear multistep methodsvector spacenonlinear evolution equationsstrong stabilityconvex functionaltime discretizationcontractivitycoercive problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Numerical methods for functional-differential equations (65L03)

Related Items (2)

\(L_p\) stabilization of positive neural networks with multiple time-varying delays ⋮ Stability and Convergence of Stepsize-Dependent Linear Multistep Methods for Nonlinear Dissipative Evolution Equations in Banach Space

Uses Software

• RODAS

Cites Work

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