A simple, fast, and accurate time-integrator for strongly nonlinear dynamical systems

Mathematics

• Adaptive Method 12%
• Analytical Solution 9%
• Collocation 10%
• Collocation Method 10%
• Computational Cost 22%
• Difference Method 12%
• Discrete-time 8%
• Duffing Oscillator 29%
• Dynamical system 8%
• First order differential equation 11%
• Forcing 10%
• Gauss 9%
• Implicit Method 12%
• Initial Value Problem 18%
• Interval 12%
• Legendre 11%
• Nonlinear Dynamical Systems 85%
• Nonlinear Ordinary Differential Equations 11%
• Nonlinear Oscillator 13%
• Nonlinear Problem 9%
• Numerical Examples 6%
• Numerical Integrators 15%
• Numerical Methods 7%
• Numerical Solution 7%
• Numerical Stability 12%
• Orbit 8%
• Oscillation 8%
• Perturbation 7%
• Point Source 13%
• Propagation 9%
• Radial Basis Function 38%
• Runge-Kutta Methods 22%
• Time Domain 22%
• Vertex of a graph 6%

Engineering & Materials Science

• Convergence of numerical methods 13%
• Costs 8%
• Dynamical systems 8%
• Initial value problems 30%
• Nonlinear dynamical systems 100%
• Numerical methods 9%
• Orbits 9%
• Ordinary differential equations 23%