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However, the method of upper and lower solutions and the quasilinearization technique for BVPs on time scales are still in the developing stage and few papers are devoted to the results on upper and lower solutions technique and the method of quasilinearization on time scales [18 21].

This paper describes the theory, solution techniques and results.

Heuristic solution techniques and an IP formulation help understand the dynamics of the bid construction problem.

The M1 results agreed well with other solution techniques and were comparable to DOM S4.

It describes solution techniques and presents examples that illustrate some of the possibilities to obtain realistic three-dimensional results.

The methods used therein mainly depend on the fixed-point theorems, the degree theory, the upper and lower solution techniques, and the monotone iterations.

Besides modeling, the solution techniques and their reliabilities are most important to catch critical points at which a sudden divergence or bifurcation starts.

Scientific computing is the field of study concerned with constructing mathematical models, numerical solution techniques and with using computers to analyse and solve scientific and engineering problems.

In this example we compare the exact and simplified solution techniques and demonstrate how the idealizing assumptions can be justified a posteriori.

Our theory and results can be immediately restricted to the non "noisy" (deterministic) case yielding efficient, numerical solution techniques and an a priori error of O h2).

Numerical experiments are shown and discussed where the effect of spatial discretization, different solution techniques, and a possible nodal reordering, is explored.

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