Acceleration of implicit schemes for large systems of nonlinear differential-algebraic equations

DOI10.3934/math.2020040zbMath1484.65163OpenAlexW2995944169MaRDI QIDQ2132809

Mouhamad Al Sayed Ali, Miloud Sadkane

Publication date: 28 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020040

zbMATH Keywords

GMRESnonlinear equationsline searchtrust regioninexact Newtonnonlinear DAE systems

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80)

Uses Software

• KELLEY

Cites Work

• A Newton-Krylov method with an approximate analytical Jacobian for implicit solution of Navier-Stokes equations on staggered overset-curvilinear grids with immersed boundaries
• Acceleration of implicit schemes for large systems of nonlinear ODEs
• Numerical experiments with Krylov integrators
• Improved predictor schemes for large systems of linear ODEs
• Boundary-Value Problems for Differential-Algebraic Equations: A Survey
• Inexact Newton Methods
• Convergence Theory of Nonlinear Newton–Krylov Algorithms
• Globally Convergent Inexact Newton Methods
• Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems
• A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs
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