A delay differential equation solver based on a continuous Runge-Kutta method with defect control
From MaRDI portal
Publication:1385141
DOI10.1023/A:1019107718128zbMath1005.65071OpenAlexW1579163684MaRDI QIDQ1385141
Publication date: 7 September 2000
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1019107718128
convergencenumerical examplesRunge-Kutta methoderror controlstepsize controldefect controldiscontinuity detection
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (30)
An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays ⋮ Dissipative approximations to neutral DDEs ⋮ Initial value problems with retarded argument solved by iterated quadratic splines ⋮ Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space ⋮ On explicit abstract neutral differential equations with state-dependent delay ⋮ Analysis of a class of distributed delay logistic differential equations ⋮ Error estimation and control for ODEs ⋮ An efficient IMEX method for nonlinear functional differential equations with state-dependent delay ⋮ Explicit abstract neutral differential equations with state-dependent delay: existence, uniqueness and local well-posedness ⋮ Local and global existence and uniqueness of solution for abstract differential equations with state-dependent argument ⋮ Numerical computation of derivatives in systems of delay differential equations ⋮ Numerical methods for delay models in biomathematics ⋮ Computing breaking points in implicit delay differential equations ⋮ On the one-leg methods for solving nonlinear neutral differential equations with variable delay ⋮ Application of the hybrid functions to solve neutral delay functional differential equations ⋮ Solving ODEs and DDEs with residual control ⋮ Software for ordinary and delay differential equations: Accurate discrete approximate solutions are not enough ⋮ Sharpness results for state dependent delay differential equations: An overview ⋮ A friendly Fortran DDE solver ⋮ Delay-differential-algebraic equations in control theory ⋮ Variable-step variable-order 3-stage Hermite-Birkhoff-Obrechkoff DDE solver of order 4 to 14 ⋮ On the Newton iteration in the application of collocation methods to implicit delay equations ⋮ Runge-Kutta research at Toronto ⋮ Recent trends in the numerical solution of retarded functional differential equations ⋮ Solving neutral delay differential equations with state-dependent delays ⋮ A posteriori error estimates for fully discrete finite element method for generalized diffusion equation with delay ⋮ Continuous numerical methods for ODEs with defect control ⋮ Designing efficient software for solving delay differential equations ⋮ Open issues in devising software for the numerical solution of implicit delay differential equations ⋮ Delay-dependent elliptic reconstruction and optimal 𝐿^{∞}(𝐿²) a posteriori error estimates for fully discrete delay parabolic problems
This page was built for publication: A delay differential equation solver based on a continuous Runge-Kutta method with defect control