Preservation of stability and oscillation of Euler-Maclaurin method for differential equation with piecewise constant arguments of alternately advanced and retarded type
DOI10.1186/S13660-015-0685-5zbMath1335.65064OpenAlexW2148063736WikidataQ59435194 ScholiaQ59435194MaRDI QIDQ265238
F. Blanchet-Sadri, M. Dambrine
Publication date: 1 April 2016
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-015-0685-5
Stability and convergence of numerical methods for ordinary differential equations (65L20) Oscillation theory of functional-differential equations (34K11) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical methods for functional-differential equations (65L03)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical stability and oscillation of the Runge-Kutta methods for the differential equations with piecewise continuous arguments alternately of retarded and advanced type
- Stability analysis of Runge-Kutta methods for systems \(u'(t)=Lu(t)+Mu([t)\)]
- Integrals of products of Bernoulli polynomials
- Stability and oscillations of numerical solutions for differential equations with piecewise continuous arguments of alternately advanced and retarded type
- Numerical stability analysis of differential equations with piecewise constant arguments with complex coefficients
- On the largest prime factor of numerators of Bernoulli numbers
- Stability of \(\theta \)-schemes in the numerical solution of a partial differential equation with piecewise continuous arguments
- Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument
- Retarded differential equations with piecewise constant delays
- Advanced differential equations with piecewise constant argument deviations
- Oscillation analysis of numerical solution in the \(\theta\)-methods for equation \(x\prime (t) + ax(t) + a_{1}x([t - 1) = 0\)]
- Stability of the Euler-Maclaurin methods for neutral differential equations with piecewise continuous arguments
- Preservation of oscillations of the Runge-Kutta method for equation \(x'(t)+ax(t)+a_1x([t - 1)=0\)]
- Stability analysis of Runge-Kutta methods for unbounded retarded differential equations with piecewise continuous arguments
- Shortened recurrence relations for Bernoulli numbers
- Differential equations alternately of retarded and advanced type
- Green's function and comparison principles for first order periodic differential equations with piecewise constant arguments
- On Miki's identity for Bernoulli numbers
- Stability of solutions of nonlinear neutral differential equations with piecewise constant delay and their discretizations
- Stability of \(\theta\)-methods for advanced differential equations with piecewise continuous arguments
- Stability of differential equations with piecewise constant arguments of generalized type
- ADVANCED IMPULSIVE DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS
- Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory
- Oscillatory properties of first order linear functional differential equations
- Variation of Parameters Formula for the Equation of Cooke and Wiener
- An Equation Alternately of Retarded and Advanced Type
- Combinatorial snapshots.
- On quasi-periodic solutions of differential equations with piecewise constant argument
This page was built for publication: Preservation of stability and oscillation of Euler-Maclaurin method for differential equation with piecewise constant arguments of alternately advanced and retarded type
