\(\mathcal H\)-stability of Runge-Kutta methods with general variable stepsize for pantograph equation.
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Publication:1421287
DOI10.1016/S0096-3003(02)00947-5zbMath1038.65070OpenAlexW2052454109MaRDI QIDQ1421287
Publication date: 26 January 2004
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00947-5
Runge-Kutta methoddelay differential equationsvariable stepsizepantograph equationinfinite lag\({\mathcal H}\)-stability
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Related Items (9)
\(H_{\alpha}\)-stability of modified Runge-Kutta methods for nonlinear neutral pantograph equations ⋮ Stability of a class of Runge--Kutta methods for a family of pantograph equations of neutral type ⋮ Asymptotical mean-square stability of linearθ-methods for stochastic pantograph differential equations: variable stepsize and transformation approach ⋮ Numerical stability of higher-order derivative methods for the pantograph equation ⋮ \(\varepsilon\)-approximate polynomial solutions for the multi-pantograph equation with variable coefficients ⋮ Superconvergence of discontinuous Galerkin methods for nonlinear delay differential equations with vanishing delay ⋮ Asymptotic stability of linear non-autonomous difference equations with fixed delay ⋮ Asymptotical stability of numerical methods with constant stepsize for pantograph equations ⋮ The stability of modified Runge-Kutta methods for the pantograph equation
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