The default step size for the t dimension
The default step size for the t dimension
Estimate of the error in calculating y
Estimate of the error in calculating y
Show the flaw by printing the error message.
Show the flaw by printing the error message.
the method where the error occurred
the error message
Get the error estimate.
Get the error estimate.
the derivative function f(t, y)
the intial value of the y-function at time t0, y0 = y(t0)
the time value at which to compute y(t)
the initial time
the step size
Apply the integrate method to each derivative to compute the trajectory of a time-dependent vector function y(t) governed by a separable system of Ordinary Differential Equations (ODE's) where [f_j(t, y_j)] is an array of derivative functions.
Apply the integrate method to each derivative to compute the trajectory of a time-dependent vector function y(t) governed by a separable system of Ordinary Differential Equations (ODE's) where [f_j(t, y_j)] is an array of derivative functions. Each derivative function takes a scalar t and a scalar y_j = y(j).
the array of derivative functions [f_j(t, y_j)]
the initial value vector, y0 = y(t0)
the time value at which to compute y(t)
the initial time
the step size
the array of derivative functions [f_j(t, y)]
the initial value vector, y0 = y(t0)
the time value at which to compute y(t)
the initial time
the step size
Compute the Jacobian matrix for a vector-valued derivative function represented as an array of scalar-valued functions.
Compute the Jacobian matrix for a vector-valued derivative function represented as an array of scalar-valued functions. The i-th row in the matrix is the gradient of the i-th function.
the array of functions whose Jacobian is sought
the point (vector) at which to estimate the Jacobian
The
Radauobject implements Radau IIA, which is a simple Ordinary Differential Equation (ODE) solver for moderately stiff systems. Solve for 'y' givend/dt y = f(t, y).