Sentence examples for computation of solutions from inspiring English sources

Adleman's 1994 paper "Molecular Computation of Solutions to Combinatorial Problems" described the first successful example of DNA computing, in which he used DNA to solve a simple problem in graph theory involving a seven-node Hamiltonian circuit, an NP-complete problem (i.e., a problem for which no efficient solution algorithm is known) similar to the traveling salesman problem.

For a tractable computation of solutions to the optimization problems, we employ the semidefinite relaxation technique and identify the cases where this technique provides an optimal input signal.

The computation of solutions associated with the presence of moving bottlenecks is complex, since they both influence and are influenced by surrounding traffic.

The computation of solutions near the critical threshold poses difficulties, since the number of active Fourier-components increase dramatically, resulting in steep temporal and spatial gradients.

It allows the efficient computation of solutions of complete kinetic schemes with time- or moment-dependent reaction coefficients by reducing the complexity to a few differential equations.

An efficient version of a numerical gradient optimization procedure for the computation of solutions to periodic optimal control problems is presented.

Some properties of the Sinc-collocation method required for our subsequent development are given and are utilized to reduce the computation of solution of multi-point boundary value problems to some algebraic equations.

By virtue of this linearization, the costly computation of solution-dependent correction factors is to be performed just once per time step, and there is no need for iterative defect correction if the governing equation is linear.

The modeling and computation of solution statistics is highly non-trivial.

It can be seen as an improvement of the Interval Projected Polyhedron algorithm proposed by Sherbrooke and Patrikalakis [Sherbrooke, E.C., Patrikalakis, N.M., 1993. Computation of the solutions of nonlinear polynomial systems. Comput. Aided Geom. Design 10 (5), 379 405].

It was Dr. Lax who helped put N.Y.U. in the vanguard of such research, according to his Abel Prize citation, with "groundbreaking contributions to the theory and application of partial differential equations and to the computation of their solutions".