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Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 02/2019, Volume 344, pp. 1 - 12
Journal Article
Journal Article
Neurocomputing, ISSN 0925-2312, 2009, Volume 72, Issue 10, pp. 2385 - 2391
A novel hybrid method for the solution of ordinary and partial differential equations is presented here. The method creates trial solutions in neural network... 
Grammatical evolution | Neural networks | Genetic programming | Differential equations | PREDICTOR-CORRECTOR METHODS | NUMERICAL-SOLUTION | RUNGE-KUTTA METHODS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
International Journal of Modern Physics C, ISSN 0129-1831, 06/2019, Volume 30, Issue 6, p. 1950048
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 62, Issue 10, pp. 3796 - 3811
Journal Article
New Astronomy, ISSN 1384-1076, 2012, Volume 17, Issue 4, pp. 469 - 473
► Runge–Kutta–Nystrom pairs are used for integrating 2-body problem and other orbits. ► We train the coefficients on just one eccentricity, accuracy and... 
Differential evolution | Runge–Kutta | Neural networks | Kepler problem | Runge-Kutta | ASTRONOMY & ASTROPHYSICS | Usage
Journal Article
Journal of Low Frequency Noise, Vibration and Active Control, ISSN 1461-3484, 12/2019, Volume 38, Issue 3-4, pp. 1279 - 1296
In this paper, a process is devised systematically to scrutinize the scrolling chaotic behaviour of fractional-order Chua's system. The process is composed of... 
bifurcation analysis | chaotic dynamics | Chua’s system | Fractional calculus | Wavelet | Error analysis | Simulation | Computer simulation | Chaos theory | Neural networks | Simulated annealing | Artificial neural networks | Bifurcations | Runge-Kutta method | Laplace transforms | Scrolling
Journal Article
Petroleum Science and Technology, ISSN 1091-6466, 07/2018, Volume 36, Issue 13, pp. 930 - 936
Based on the characteristics of maximizing iso-paraffins (MIP) process and industrial data, an 8-lump kinetic model for MIP process is developed. And the 47... 
BP neural network | MIP process | product distribution | catalytic cracking | lump model | ENGINEERING, CHEMICAL | ENERGY & FUELS | ENGINEERING, PETROLEUM | Paraffins | Parameters | Computer simulation | Neural networks | Predictions | Runge-Kutta method | Mathematical models | Reaction mechanisms | Back propagation networks | Catalytic cracking | Genetic algorithms
Journal Article
Procedia Computer Science, ISSN 1877-0509, 2018, Volume 123, pp. 252 - 257
A simulation problem is discussed for nonlinear controlled dynamical systems represented by differential-algebraic equations of index 2. The problem is... 
semi-empirical model | differential-algebraic equations | dynamical system | Differential-algebraic equations | Semi-empirical model | Dynamical system
Journal Article
International Journal of Modern Physics C, ISSN 0129-1831, 12/2011, Volume 22, Issue 12, pp. 1309 - 1316
We use a neural network approach to derive a Runge–Kutta–Nyström pair of orders 8(6) for the integration of orbital problems. We adopt a differential evolution... 
differential evolution | Kepler problem | neural networks | Runge-Kutta-Nyström | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL | Runge-Kutta-Nystrom
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2008, Volume 56, Issue 9, pp. 2145 - 2154
In this paper, optimal control for stochastic nonlinear singular system with quadratic performance is obtained using neural networks. The goal is to provide... 
Stochastic nonlinear singular system | Runge–Kutta method | Matrix Riccati differential equation | Neural networks | Optimal control | Runge-Kutta method | MATHEMATICS, APPLIED | DIFFERENTIAL-ALGEBRAIC EQUATIONS | STABILIZATION | MATRIX RICCATI EQUATION | QUADRATIC CONTROL | Computation | Nonlinearity | Mathematical models | Stochasticity | Feedforward
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2006, Volume 182, Issue 2, pp. 1832 - 1839
Journal Article
ESAIM: Mathematical Modelling and Numerical Analysis, ISSN 0764-583X, 09/2018, Volume 52, Issue 5, pp. 1733 - 1761
Journal Article