Sentence examples for finite differences finite from inspiring English sources

Standard methods such as the finite differences, finite volumes and expanded mixed finite elements methods use very general unstructured grids and need different grid adaptation strategies to ensure optimal solution of this non-linear problem.

In contrast to the widely used methods of the network type (finite differences, finite element, and boundary element methods), in the R-function method all the geometric information given in the boundary value problem statement is represented in an analytical form.

Suppose that the spatial (time) derivatives of (17) are discretized by some methods - finite differences, finite elements, finite volumes, or any other method.

Since the coefficient parameters and the right-hand side of (3.5), for, are known (from previous iterations), the equation system (3.5) can easily be solved using any numerical methods such as finite differences, finite elements, Runge-Kutta-based shooting methods, or collocation methods.

Since the coefficient parameters and the right-hand side of Equation 2.15 for i = 1, 2, 3,... are known (from previous iterations), the equation can easily be solved using numerical methods such as finite differences, finite elements, Runge-Kutta-based shooting methods or collocation methods.

Introduction to finite difference, finite volume, and finite element methods for their computation.

Other advantages of developed method over other methods (as different finite difference, finite volume and other finite element schemes) are high accuracy and little runtime of developed method.

Topics include mathematical formulations; finite difference, finite volume, finite element, and boundary element discretization methods; and direct and iterative solution techniques.

Covers the most effective and widely used numerical modeling approaches (e.g., boundary element, finite difference, finite element) and emphasizes problem-solving skills through illustrative examples of heat and mass transfer in the mantle and the ocean.

Numerical simulations are often performed by finite difference, finite element, or atomistic techniques, all require substantial computational time and memory.

It therefore becomes convenient to look for numerical solutions: finite difference, finite element, finite volume and spectral methods are typical examples of the numerical methods used.