Sentence examples for been solved using two from inspiring English sources

The vertical plan and the space cases have been solved using two approaches, one direct and one indirect.

The governing Fokker-Planck equation has been solved using three different methods.

The model equations were solved using two independent methods.

The problem is solved using two different approaches, which are shown to lead to equivalent results.

The refinement field propagation problem is solved using two corner templates and an isolated node template.

Topological optimization problems based on stress criteria are solved using two techniques in this paper.

The equations of motion for the cylindrical and conical shells are solved using two different methods.

In order to tackle the complex model, the model is solved using two Pareto-based multi-objective evolutionary algorithms known as NSGA-II and NRGA.

The problem is solved using two independent meshes: a two-dimensional mesh for the adatom diffusion and a one-dimensional mesh for the boundary evolution.

Equation (4) can be solved using two approaches: (1) stochastic gradient descent (SGD) algorithms, which are very popular for optimizing factorization models as they are simple, work well with different loss functions.

A comprehensive analysis of the numerical anisotropy was performed in the book of Vichnevetsky and Bowles [15] where, among others, the two-dimensional wave equation was solved using two different finite difference schemes for the Laplacian operator.