Sentence examples for methods with polynomial from inspiring English sources

In this paper, we develop a new tensor-product based preconditioner for discontinuous Galerkin methods with polynomial degrees higher than those typically employed.

It is the most widely used method with polynomial time complexity at present.

By using the assumed-modes method with polynomial shape functions, the validation of the approach is given.

The mixed finite element method with polynomial pressure projection stabilization is used to solve the governing equations with the corresponding initial and boundary conditions.

It simulates the compressible Navier Stokes equations using a cell-centered finite-volume method with polynomial reconstruction on unstructured hybrid meshes.

A discrete-layer representation is used that combines the Ritz method with polynomial in-plane approximations with one-dimensional Lagrangian interpolation polynomials in the thickness direction.

The Galerkin method, with polynomial trial functions that satisfy the geometric boundary conditions, is employed in obtaining accurate values of free vibration frequencies.

All the obtained results have been verified with an alternate formulation based on the assumed mode method with polynomial shape functions.

Our results show that the above-mentioned approximations to the αth-derivative of the exact solution of linear, multidimensional symmetric hyperbolic systems obtained by the discontinuous Galerkin method with polynomials of degree k converge with order 2k+1 regardless of the order |α| of the derivative.

The numerical results show that the developed non-polynomial ENO and WENO methods with the monotone polynomial interpolation method enhance the local accuracy and give sharper solution profile than the ENO/WENO methods based on the polynomial interpolation.

The Ritz method with algebraic polynomial displacement functions is used.