Sentence examples for are solved using the from inspiring English sources

All matrix equations are solved using the Cholesky direct solver of the numerical library SuiteSparse44.

Some examples are solved using the proposed iterative method.

Several benchmark problems are solved using the proposed method.

Theseequationsow tharethe dynamic field will impede or enhance crack propagation in the piezoelectric materialsolvedifferent stages of the dynamic load.

The governing and energy equations are solved using the finite volume method (FVM).

The Eulerian conservation equations of gas phase are solved using the control volume approach.

The resulting governing equations are solved using the finite volume method.

The governing equations in the axisymmetric cylindrical coordinates are solved using the commercial CFD code, FLUENT.

These difficulties are solved using the extended idea of Hadamard and Cauchy's concepts of integrals.

The unknown virtual gain signs are solved using the Nussbaum functions.

The formulated nonlocal equations of motion are solved using the harmonic waveforms of the displacement field.