Approximates the jacobian matrix using finite differences (assuming the jacobian is a band matrix with a fixed lower and upper bandwidth).

Approximates the jacobian matrix using finite differences (assuming the jacobian is a dense matrix).

Runge-Kutta method of 8th order of Dormand and Prince. Supports step size control, stiffness detection and dense output. If dense output is not needed, it is recommended to use RK8713M instead, which gives slighly better accuracy.

Designates the norm used to calculate the local error.

Implements Gear's method for integration of stiff ordinary differential equations with step size and order adjustments, using Nordsieck's state.

Options for multistep Ode methods.

Iteration method for implicit Ode method (Gear's, implicit Adam's, and so on).

Options for explicit Runge-Kutta methods.

Runge-Kutta method of 5th order of Dormand and Prince with 6 stages. Attention: This method can only provide dense output of order 3. If dense output of high accuracy is needed, use method RK547M .

Runge-Kutta method of 5th order of Dormand and Prince with 7 stages. This method can provide dense output of order 4.

Runge-Kutta method of 8th order of Dormand and Prince. Attention: this method can only provide dense output of order 3. If accurate dense output is needed, please use method DOP853.

Embbeded formula of Runge-Kutta-Fehlberg, with an order of 4. This method supports dense output of order 3.

Base class for explicit Runge-Kutta methods.

Approximates the jacobian matrix using finite differences (assuming the jacobian is a sparse matrix).

Designates the filter method for calculation of the recommended step size of the next step.