Classes of ODE solvers

The basic object in NodePy is an ODE solver. Several types of solvers are supported, including linear multistep methods, Runge-Kutta methods, and Two-step Runge-Kutta methods. For each class, individual methods may be instantiated by specifying their coefficients. Many convenience functions are also provided for loading common methods or common families of methods. The Runge-Kutta method class also supports some special low-storage RK method classes, integral deferred correction methods, and extrapolation methods.

• Runge-Kutta methods
  • Accuracy
  • Classical (linear) stability
  • Nonlinear stability
  • Reducibility of Runge-Kutta methods
  • Composing Runge-Kutta methods
• Embedded Runge-Kutta Pairs
• Low-Storage Runge-Kutta methods
  • 2S/3S methods
  • 2S/3S embedded pairs
  • 2R/3R methods
• Linear Multistep methods
  • Instantiation
  • Adams-Bashforth Methods
  • Adams-Moulton Methods
  • Backward-difference formulas
  • Optimal Explicit SSP methods
  • Stability
  • Characteristic Polynomials
  • Plotting The Stability Region
• Two-step Runge-Kutta methods
  • TwoStepRungeKuttaMethod