THE DYNAMICS OF RUNGE–KUTTA METHODS

From MaRDI portal
Publication:4348271

DOI10.1142/S0218127492000641zbMath0876.65061OpenAlexW1965263041WikidataQ61982157 ScholiaQ61982157MaRDI QIDQ4348271

Oreste Piro, Julyan H. E. Cartwright

Publication date: 19 November 1997

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127492000641




Related Items (31)

Non standard finite difference scheme preserving dynamical propertiesNovel partitioned time integration methods for DAE systems based on L-stable linearly implicit algorithmsLocally linearized Runge Kutta method of Dormand and PrinceExponentially fitted symmetric and symplectic DIRK methods for oscillatory Hamiltonian systemsReal-time image encryption using a low-complexity discrete 3D dual chaotic cipherLyapunov exponents for a Duffing oscillatorPreservation of equilibrium states and their stability for discrete Runge-Kutta approximations of continuous systemsInference for differential equation models using relaxation via dynamical systemsStability analysis of finite difference schemes revisited: A study of decoupled solution strategies for coupled multifield problemsDynamical Analysis and Circuit Simulation of a New Fractional-Order Hyperchaotic System and Its DiscretizationThe VOLNA code for the numerical modeling of tsunami waves: generation, propagation and inundationMathematical modeling of humoral immune response suppression by passively administered antibodies in miceChaotic advection in three-dimensional unsteady incompressible laminar flowMOLECULAR DYNAMICS SIMULATIONS THROUGH SYMBOLIC PROGRAMMINGChaotic dynamics and reversal statistics of the forced spherical pendulum: comparing the Miles equations with experimentA step-size selection strategy for explicit Runge-Kutta methods based on Lyapunov exponent theoryNumerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation ModelProperties of differential and approximate finite-difference equationsA novel method to determine the time series of a second-order chemical reaction in the unstable region of the Euler schemeAssessing cellular automata based models using partial differential equationsCan a polynomial interpolation improve on the Kaplan-Yorke dimension?Entropy principle of extremality as a driving force in the discrete dynamics of complex and living systemsA study of low-energy transfer orbits to the Moon: towards an operational optimization techniqueGauge theory for finite-dimensional dynamical systemsDiscrete dynamics for mathematical simulation of living systemsNonlinear phenomena in spaces of algorithmsNonlinear stiffness, Lyapunov exponents, and attractor dimensionEvent-Driven Simulation Scheme for Spiking Neural Networks Using Lookup Tables to Characterize Neuronal DynamicsNumerical solution for a problem arising in angiogenic signallingSensitivity of modeled tracer motion in tidal areas to numerics and to non-Hamiltonian perturbationsOn Taylor series expansion for chaotic nonlinear systems




This page was built for publication: THE DYNAMICS OF RUNGE–KUTTA METHODS