Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument
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Publication:711333
DOI10.1016/j.amc.2010.06.028zbMath1204.65110OpenAlexW2117403072WikidataQ115361662 ScholiaQ115361662MaRDI QIDQ711333
Hui Liang, Wanjin Lv, Dong-Yang Shi
Publication date: 25 October 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.06.028
Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
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- Stability of \(\theta \)-schemes in the numerical solution of a partial differential equation with piecewise continuous arguments
- Retarded differential equations with piecewise constant delays
- Advanced differential equations with piecewise constant argument deviations
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- Stability of Runge--Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0}u([t)\).]
- Stability of Runge-Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0} u([t)+a_{1} u([t-1])\)]
- Stability of \(\theta\)-methods for advanced differential equations with piecewise continuous arguments
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