• analysis, finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives with finite differences...
    21 KB (3,591 words) - 00:59, 20 May 2025
  • A finite difference is a mathematical expression of the form f(x + b) − f(x + a). Finite differences (or the associated difference quotients) are often...
    38 KB (5,863 words) - 05:49, 13 April 2025
  • Thumbnail for Finite element method
    combining mesh-free methods with the finite element method. Spectral element methods combine the geometric flexibility of finite elements and the acute...
    59 KB (7,792 words) - 05:40, 23 May 2025
  • Thumbnail for Finite-difference frequency-domain method
    frequency-domain finite-difference methods, the title seems to mostly describe the method as applied to scattering problems. The method shares many similarities...
    7 KB (938 words) - 03:23, 20 May 2025
  • Thumbnail for Finite-difference time-domain method
    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...
    62 KB (5,475 words) - 15:50, 4 May 2025
  • 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) - 19:40, 14 January 2025
  • 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
  • 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) - 08:43, 11 February 2025
  • Spectral methods and finite element methods are closely related and built on the same ideas; the main difference between them is that spectral methods use...
    17 KB (1,942 words) - 09:57, 15 April 2025
  • Thumbnail for Partial differential equation
    Euler's method, Runge–Kutta, etc. Finite-difference methods are numerical methods for approximating the solutions to differential equations using finite difference...
    49 KB (6,795 words) - 21:29, 14 May 2025
  • 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...
    262 bytes (66 words) - 20:41, 7 October 2022
  • 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
  • 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
  • applications: Finite difference methods for option pricing Finite-difference time-domain method — a finite-difference method for electrodynamics Finite element...
    70 KB (8,335 words) - 20:20, 17 April 2025
  • Thumbnail for Central differencing scheme
    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) - 14:53, 15 March 2025
  • 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...
    8 KB (1,220 words) - 21:22, 9 March 2025
  • Thumbnail for Meshfree methods
    the velocity field. Numerical methods such as the finite difference method, finite-volume method, and finite element method were originally defined on meshes...
    34 KB (4,421 words) - 01:00, 11 May 2025
  • 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 (3,806 words) - 16:22, 21 March 2025
  • Thumbnail for Regular grid
    appear on graph paper and may be used in finite element analysis, finite volume methods, finite difference methods, and in general for discretization of...
    3 KB (437 words) - 00:43, 31 August 2024
  • Thumbnail for Numerical methods for ordinary differential equations
    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 (3,916 words) - 07:09, 27 January 2025
  • linear finite difference methods for the numerical solution of linear partial differential equations. It states that for a linear consistent finite difference...
    3 KB (324 words) - 03:09, 20 April 2025
  • (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) - 06:50, 9 May 2025
  • introduced by Heinz-Otto Kreiss to analyze the stability of finite difference methods for partial difference equations. Given a matrix A, the Kreiss constant 𝒦(A)...
    6 KB (802 words) - 03:37, 12 April 2025
  • Thumbnail for Alexander Samarskii
    applied mathematics, numerical analysis, mathematical modeling, finite difference methods. Born in Amvrosiivka, Yekaterinoslav Governorate, Russian Empire...
    9 KB (881 words) - 16:15, 6 November 2024
  • The compact finite difference formulation, or Hermitian formulation, is a numerical method to compute finite difference approximations. Such approximations...
    7 KB (1,531 words) - 19:28, 11 May 2025
  • Thumbnail for Computational fluid dynamics
    features, a nonlinear difference equation is solved as opposed to the finite difference equation. VC is similar to shock capturing methods, where conservation...
    68 KB (8,648 words) - 17:44, 15 April 2025
  • differentiation. Infinite element method Finite difference Finite difference time domain "Indefinite Integrals: Learn Methods of Integration, Properties"....
    2 KB (110 words) - 10:47, 20 October 2024
  • 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
  • Thumbnail for Numerical modeling (geology)
    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) - 22:45, 1 April 2025
  • 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