Sentence examples for advanced the solution from inspiring English sources
Continuous development and merging of analytical with semi-analytical boundary element solution methods have advanced the solution range.
To advance the solution one time step, one must solve a discrete system of nonlinear equations.
Lastly, using fluxes as boundary conditions, a dynamic two-phase flow solver is used to advance the solution in time.
The numerical methods considered advance the solution in time with (weak) second-order accuracy with respect to the time step size.
To advance the solution in time, we use a MUSCL-type scheme which couples a partial volume representation with a level set one to build the numerical fluxes.
The numerical solution of a non-linear wave equation can be obtained by using spectral methods to resolve the unknown in space and the standard Crank-Nicolson differencing scheme to advance the solution in time.
Solutions are obtained by a Fourier spectral element method in conjunction with a semi-implicit method combining the second-order Adams-Bashforth and first-order backward Euler schemes for advancing the solution in time.
We present a strongly-coupled solution algorithm where the high order L-stable explicit first-stage singly diagonally implicit Runge Kutta (ESDIRK) schemes are used to advance the solution in time within each separate fluid and solid subdomains.
The conventional fast Fourier transform is used to approximate the spatial derivatives and a three-level difference scheme with a free parameter θ is to advance the solution in time.
Congress, which is just waking up to this issue, can advance the solution by putting its money and muscle behind proven programs that have been shown to re-engage the young people who have dropped out and that keep at-risk children on track to complete their educations.
While cell formation (CF) problems have been studied for few decades, the purpose of this paper is to advance the solution technique using one classical approach, hierarchical cluster analysis (HCA).
