The Rosenbrock solver embodies a universal approach for simulation that can deal with stiff problems and precisely solve models containing arbitrary SBML elements.
Interestingly, the superresolution data allows precisely solving the reverse engineering problem: given many trajectories, reconstruct locally the field and the local diffusion properties (diffusion tensor).
More precisely, we solved Equation (3) and sampled the time range according to typical acquisition times for 'Albira' (10 × 15 s, 5 × 30 s, 2 × 150 s, 6 × 300 s, 1 × 600 s).
The purpose of the section is precisely to solve this equation.
More precisely, one solves the following variational problem that now involves two unknowns: (5).
Precisely, to solve the bifurcation problem for (2), we introduce an equivalent integral equation whose zeros are the T-periodic solutions to (2) and that we rewrite in the following form: P ˜ ( x ) + ε Q ˜ ( x, ε ) = 0, where P ˜ : C T ( E ) → C T ( E ) and Q ˜ : C T ( E ) × [ 0, 1 ] → C T ( E ).
Which is ironic, considering that Comic Sans was created precisely to solve the problem of a different font's misuse in a wrong context, yet this is exactly what would happen to it, on a massive scale, in years to come.
The Schrödinger equation cannot be solved precisely for atoms with more than one electron.
Precisely how they solved the problem isn't as important as their attitude about the problem.
In the frequency-wavenumber domain, these equations are ordinary differential equations which can be solved precisely by using PIM.
