Results 321 to 330 of about 11,636,978 (376)

Finite-difference time-domain methods

Nature Reviews Methods Primers, 2023
F. L. Teixeira, C. Sarris, Y. Zhang, D.-Y. Na, J. Bérenger, Y. Su, M. Okoniewski, W. C. Chew, V. Backman, J. Simpson   +9 more
semanticscholar   +1 more source

Exact finite difference and non-standard finite difference schemes for

Journal of Difference Equations and Applications, 2012
Exact finite difference schemes and non-standard finite difference schemes are constructed for the first-order differential equation , for and . In particular, we show that the central finite difference scheme is an exact scheme for the differential equation .
Ronald E. Mickens, Lih-Ing W. Roeger
openaire   +2 more sources

Combined Immersed-Boundary Finite-Difference Methods for Three-Dimensional Complex Flow Simulations

, 2000
A second-order accurate, highly efficient method is developed for simulating unsteady three-dimensional incompressible flows in complex geometries. This is achieved by using boundary body forces that allow the imposition of the boundary conditions on a ...
E. A. Fadlun, R. Verzicco, P. Orlandi, J. Mohd-Yusof   +3 more
semanticscholar   +1 more source

Finite Difference Methods

2018
This chapter offers a peek at the vast literature on numerical methods for partial differential equations. The focus is on finite difference methods (FDM): approximating differential operators by functions of difference operators. Padé approximants (Fornberg) give a unifying principle for deriving the various stencils used by numericists.
openaire   +3 more sources

Finite-difference and finite-element methods of approximation [PDF]

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1971
The finite-difference and finite-element methods for approximating the solution of elliptic boundary-value problems are discussed. The analysis of the order of accuracy is outlined, and the results compared, with some comment on special problems connected with singularities.
openaire   +1 more source

Finite Differences

1979
Publisher Summary Digital computer is not suited to perform computation by way of calculus. The automatic programming of the fundamental theorem of the integral calculus on the digital computer is a formidable, if not impossible, task of providing the computer with a symbolic list of functions and the corresponding antiderivatives, that is, a table of
openaire   +2 more sources

Finite differences on triangular grids

Numerical Methods for Partial Differential Equations, 1998
A finite difference method is defined on a triangular grid for the Dirichlet problem of the Poisson equation. A relation between this finite difference scheme and the finite element method is given. From this new point of view the properties (maximum principle) of the solution and convergence are analyzed.
Brighi, B, Chipot, M, Gut, E
openaire   +4 more sources

Finite Element and Finite Difference Methods

2006
Finite element methods (FEM) and finite difference methods (FDM) are numerical procedures for obtaining approximated solutions to boundary-value or initial-value problems. They can be applied to various areas of materials measurement and testing, especially for the characterization of mechanically or thermally loaded specimens or components ...
openaire   +3 more sources

A combined scheme of finite elements and finite differences

Journal of the Franklin Institute, 1989
Two-dimensional boundary value problems for the Laplace equation in a ring-like region are considered. The differential equation is written first in polar coordinates and then reformulated in terms of a dimensionless radial variable. An approximate solution is assumed as the sum of products of functions of the radial and the angular variables, for ...
H. Yano, K. Nishioka, A. Kieda
openaire   +3 more sources

Nonstandard Finite Difference Schemes - Methodology and Applications

Nonstandard Finite Difference Schemes, 2020
R. Mickens
semanticscholar   +1 more source