Solving nonlinear differential algebraic equations by an implicit \(GL(n, \mathbb R)\) Lie-group method

DOI10.1155/2013/987905zbMath1271.65086OpenAlexW2050648977WikidataQ59007383 ScholiaQ59007383MaRDI QIDQ364608

Chein-Shan Liu

Publication date: 9 September 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/987905

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

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Cites Work

• Unnamed Item
• Application of He's variational iteration method for solution of differential-algebraic equations
• Adomian decomposition method for solution of nonlinear differential algebraic equations
• System of linear ordinary differential and differential-algebraic equations and pseudo-spectral method
• Internal symmetry in the constitutive model of perfect elastoplasticity
• Intermittent transition to quasiperiodicity demonstrated via a circular differential equation
• Post-projected Runge-Kutta methods for index-2 differential-algebraic equations
• On implicit Euler for high-order high-index DAEs
• A Lie-group \(\mathrm{DSO}(n)\) method for nonlinear dynamical systems
• Unitary partitioning in general constraint preserving DAE integrators
• Preserving Constraints of Differential Equations by Numerical Methods Based on Integrating Factors
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations

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