Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations
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Publication:939528
DOI10.1016/j.cam.2007.08.007zbMath1146.65057OpenAlexW2092811961MaRDI QIDQ939528
Zbigniew Bartoszewski, Zdzisław Jackiewicz
Publication date: 22 August 2008
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2007.08.007
uniform convergencedelay differential equations\(A\)-stabilitytwo-step Runge-Kutta methods\(P\)-stability
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Related Items (4)
Two-step almost collocation methods for ordinary differential equations ⋮ Exponentially fitted two-step Runge-Kutta methods: construction and parameter selection ⋮ Continuous two-step Runge-Kutta methods for ordinary differential equations ⋮ Two-step almost collocation methods for Volterra integral equations
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Cites Work
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- Delay differential equations: with applications in population dynamics
- Derivation and implementation of two-step Runge-Kutta pairs
- Derivation of continuous explicit two-step Runge-Kutta methods of order three
- Stability of functional differential equations
- P-stability properties of Runge-Kutta methods for delay differential equations
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Theory of functional differential equations. 2nd ed
- Convergence of multistep methods for Volterra functional differential equations
- Construction of two-step Runge-Kutta methods of high order of ordinary differential equations
- Construction of two-step Runge--Kutta methods with large regions of absolute stability
- Two-step Runge-Kutta: Theory and practice
- Stability analysis of two-step Runge-Kutta methods for delay differential equations
- Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations
- Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations
- One-Step Methods of any Order for Neutral Functional Differential Equations
- Quasilinear Multistep Methods and Variable Step Predictor–Corrector Methods for Neutral Functional-Differential Equations
- The Concept of B-Convergence
- On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
- Automatic Integration of Functional Differential Equations: An Approach
- Runge-Kutta methods with a multiple real eigenvalue only
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- Order Conditions for General Two-Step Runge--Kutta Methods
- Toward a two-step Runge–Kutta code for nonstiff differential systems
- On the Cauchy Problem for Differential-Delay Equations in a Banach Space
- A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential Equations
- On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
- Implementation of two-step Runge-Kutta methods for ordinary differential equations
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