The phrase "are solved in parallel" is correct and usable in written English.
It can be used in contexts where multiple problems or tasks are being addressed simultaneously, often in technical or computational discussions.
Example: "The equations are solved in parallel to improve efficiency and reduce computation time."
Alternatives: "are addressed simultaneously" or "are tackled concurrently".
Since smaller problems are solved, and these are solved in parallel, the computational delay is reduced and faster sampling becomes an option.
In other words, x n + 1 and y n + 1 are solved in parallel, and Algorithm 2.1 is the so-called parallel resolvent method.
> The IGT can explain the paradoxical finding that some contour grouping tasks are solved in parallel, while others require serial processing.
At the sub-problem level, the optimization problem is decomposed into a set of sub-problems which can be solved in parallel, thus reducing the computation time.
The problem of optimal timing is solved in parallel with adjoint problems of assessment of the market potential innovation and optimal control synthesis of the investment process.
However, our algorithm is well-suited for grid computing since the integral equations can be solved in parallel, without the need to communicate intermediate results between processors.
The new algorithm improves computational efficiency with respect to evaluation of the high degree polynomial functions of matrices, having an advantage of splitting the matrix polynomial inversion problem into a sum of linear problems that can be solved in parallel.
The resulting scheme is unconditionally stable and computationally efficient, as it reduces the global system to a collection of uncoupled subdomain problems that can be solved in parallel without the need for Schwarz-type iteration.
However, considering the great impact that a given control structure configuration can have on the process operability and product quality optimization, the time optimal grade transition problem needs to be solved in parallel with the optimal selection of the closed-loop control pairings between the controlled and manipulated variables.
