analysis, finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives with finite differences...
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quotient. The approximation of derivatives by finite differences plays a central role in finite difference methods for the numerical solution of differential...
38 KB (5,885 words) - 16:53, 28 September 2024
Finite-difference time-domain (FDTD) or Yee's method (named after the Chinese American applied mathematician Kane S. Yee, born 1934) is a numerical analysis...
63 KB (5,629 words) - 20:34, 27 June 2024
The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...
58 KB (7,610 words) - 07:17, 8 August 2024
the finite difference. A finite difference can be central, forward or backward. This table contains the coefficients of the central differences, for...
14 KB (1,266 words) - 05:01, 30 August 2024
The finite-difference frequency-domain (FDFD) method is a numerical solution method for problems usually in electromagnetism and sometimes in acoustics...
7 KB (938 words) - 17:32, 12 December 2023
contrasted with the finite difference methods, which approximate derivatives using nodal values, or finite element methods, which create local approximations...
12 KB (1,393 words) - 13:43, 27 May 2024
Finite difference methods for option pricing are numerical methods used in mathematical finance for the valuation of options. Finite difference methods...
8 KB (887 words) - 08:23, 31 March 2023
Similar to the finite difference method or finite element method, values are calculated at discrete places on a meshed geometry. "Finite volume" refers...
17 KB (1,938 words) - 12:48, 14 June 2024
fluid dynamics. Several methods of discretization can be applied: Finite volume method Finite elements method Finite difference method We begin with the incompressible...
5 KB (1,176 words) - 15:48, 6 December 2022
Geostatistics (section Finite difference method)
(geostatistics) Sill (geostatistics) Nugget effect Training image Finite difference method Arbia's law of geography Concepts and Techniques in Modern Geography...
14 KB (1,694 words) - 23:59, 30 May 2024
Method of difference may refer to: The method of finite differences, used in the difference engine One of Mill's methods in inductive reasoning A mathematical...
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Computational fluid dynamics (redirect from Vortex method)
modelling Central differencing scheme Computational magnetohydrodynamics Discrete element method Finite element method Finite volume method for unsteady flow...
67 KB (8,530 words) - 12:49, 19 August 2024
Partial differential equation (redirect from Energy method)
element method (FEM), finite volume methods (FVM) and finite difference methods (FDM), as well other kind of methods called meshfree methods, which were made...
49 KB (6,762 words) - 06:16, 7 October 2024
In numerical analysis, the Crank–Nicolson method is a finite difference method used for numerically solving the heat equation and similar partial differential...
21 KB (3,803 words) - 17:37, 26 June 2024
Numerical solution of the convection–diffusion equation (section Solving the convection–diffusion equation using the finite difference method)
convection–diffusion equation can be approximated through a finite difference approach, known as the finite difference method (FDM). An explicit scheme of FDM has been...
7 KB (1,140 words) - 21:14, 17 September 2024
applications: Finite difference methods for option pricing Finite-difference time-domain method — a finite-difference method for electrodynamics Finite element...
70 KB (8,336 words) - 05:14, 24 June 2024
equations. With numerical models, geologists can use methods, such as finite difference methods, to approximate the solutions of these equations. Numerical...
79 KB (9,089 words) - 22:36, 12 June 2024
our purposes are: finite difference methods, finite volume methods, finite element methods, and spectral methods. Finite difference replace the infinitesimal...
9 KB (1,297 words) - 02:42, 4 March 2024
Euler's forward method Explicit and implicit methods (numerical analysis) Finite difference method (numerical analysis) Finite element method (numerical analysis)...
3 KB (238 words) - 18:31, 29 August 2024
different methods need to be used to solve BVPs. For example, the shooting method (and its variants) or global methods like finite differences, Galerkin...
28 KB (3,919 words) - 15:32, 12 June 2024
a finite-difference approximation of Newton's method, so it is considered a quasi-Newton method. Historically, it is as an evolution of the method of...
10 KB (1,565 words) - 15:31, 8 October 2024
Computational electromagnetics (redirect from Finite integration technique)
efficient than volume-discretization methods (finite element method, finite difference method, finite volume method). Boundary element formulations typically...
37 KB (4,764 words) - 09:46, 4 June 2024
the governing equations are replaced by finite differences yielding an algebraic equation. Finite element method uses piece wise functions valid on elements...
9 KB (1,260 words) - 12:50, 19 August 2024
equations. This second-order finite difference method was introduced by Robert W. MacCormack in 1969. The MacCormack method is elegant and easy to understand...
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In applied mathematics, the central differencing scheme is a finite difference method that optimizes the approximation for the differential operator in...
10 KB (1,470 words) - 03:28, 23 November 2023
Galerkin method, Hybrid Mixed Mimetic method, the Nodal Mimetic Finite Difference method, some Discrete Duality Finite Volume schemes, and some Multi-Point...
16 KB (2,302 words) - 23:37, 30 January 2023
Upwind scheme (redirect from Upwind difference scheme)
accurate scheme and is called linear upwind differencing (LUD) scheme. Finite difference method Upwind differencing scheme for convection Godunov's scheme...
6 KB (829 words) - 12:50, 4 April 2024
FTCS scheme (redirect from FTCS method)
numerical analysis, the FTCS (forward time-centered space) method is a finite difference method used for numerically solving the heat equation and similar...
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Summation by parts (category Summability methods)
}|a_{n+1}-a_{n}|.} A summation-by-parts (SBP) finite difference operator conventionally consists of a centered difference interior scheme and specific boundary...
9 KB (2,162 words) - 19:23, 9 September 2024