The method is also characterized by its capability of dealing with highly non-linear problems in which the free-surface experiences sharp topological changes.
12.
It is also used for complete scientific computations, when purely numerical methods fail, like in public key cryptography or for some non-linear problems.
13.
Indeed, what was done is almost precisely to explain that " tensor spaces " are the constructions required to reduce multilinear problems to linear problems.
14.
Specifically, Smart Enterprise companies leverage recent IT advances in order to integrate heterogeneous big data and empower knowledge workers to solve non-linear problems across major economic industries.
15.
The first result was an asymptotic study of the Painlev?equations with Nalini Joshi, unusual at the time in that it did not require the use of associated linear problems.
16.
These techniques have added to the existing knowledge on fluid dynamics and its applications and hold promise of enabling applied mathematicians and scientists to solve still more difficult non-linear problems.
17.
To ensure that the global maximum of a non-linear problem can be identified easily, the problem formulation often requires that the functions be convex and have compact lower level sets.
18.
The non-linear problem is usually solved by iterative refinement; at each iteration the system is approximated by a linear one, and thus the core calculation is similar in both cases.
19.
The method elegantly transforms the ordinarily non-linear problem into a linear problem that can be solved without using iterative numerical methods, and is hence an order of magnitude faster than previous techniques.
20.
The method elegantly transforms the ordinarily non-linear problem into a linear problem that can be solved without using iterative numerical methods, and is hence an order of magnitude faster than previous techniques.
