Sentence examples for successively solve from inspiring English sources

In the later case, the evolution operator can be effectively approximated in a step-by-step manner: first divide the time integration interval in sufficiently short subintervals, and then successively solve a Schrödinger equation with a different time-independent Hamiltonian operator in each of these subintervals.

Second, we use Mathematica to successively solve the GF for increasingly large sample configurations, starting with terms for pairs of lineages, inserting this solution into the GF for n = 3, and so on.

The solutions for,,, are obtained by successively solving the linearized form of (4.2), namely, (4.5).

The coupling is performed by separately and successively solving the problems and by transferring data between the solvers.

The current control is obtained by successively solving linear algebraic equations transferred from the original problem via linearization and the Gauss Pseudospectral method.

The continuity equations (1b - 1c) are then successively solved in linear form with respect to the dependent variables n and p inside the adopted decoupled Gummel map algorithm [20].

In the one-dimensional case the initial costate is found by successively solving two first-order, quasi-linear, partial differential equations, whose independent variables are the time-horizon duration T and the final penalty coefficient S.

By using the first-order Markov chain hypothesis for the trajectory likelihood, the solution is tractable and an optimal solution to the MAP can be computed by successively solving min-cost flow problems on a specific graph [21].

which are chosen to satisfy the boundary conditions (2.12) and (2.13), the subsequent solutions for,   are obtained by successively solving the linearised form of equations which are obtained by substituting (3.1) in the governing equations, considering only the linear terms.

The key idea is that 2D DOA estimation, which is usually implemented by estimating azimuth and elevation angles jointly, can be accomplished by successively solving several 1D direction finding problems.

The droplet model is used to create a DFGM by successively solving the 1D flame equations at varying drop sizes, where the source terms for energy, mixture fraction (Z), and progress variable are cataloged as a function of Z and droplet diameter.