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Что (кто) такое finite difference technique - определение
NUMERICAL METHODS FOR SOLVING DIFFERENTIAL EQUATIONS BY APPROXIMATING THEM WITH DIFFERENCE EQUATIONS
Finite Difference Method; Finite difference scheme; Finite difference schemes; Finite difference methods; Finite-difference approximation; Finite-difference method; Finite-difference methods
![stencil]] for the most common explicit method for the heat equation.](https://commons.wikimedia.org/wiki/Special:FilePath/Explicit method-stencil.svg?width=200 "stencil]] for the most common explicit method for the heat equation.")
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Finite difference
DISCRETE ANALOG OF A DERIVATIVE
Forward difference operator; Finite differences; Finite Differences; Calculus of sums and differences; Calculus of differences; Finite difference calculus; Finite-difference calculus; Finite-difference equation; Finite difference equation; Forward difference; Newton series; Newton forward difference equation; Newton interpolation formula; Newton formula; Newtonian series; Backward difference; Central difference aproximation; Central difference derivative aproximation; Central difference derivative approximation; Central difference formula; Central difference approximation; Central difference; Centered difference; Center difference; Calculus of finite differences; Calculus of Differences; Finite calculus; Difference calculus; Backward difference operator; Finite difference approximation; Finite-difference; Discretization in calculus; Discretization of calculus
A finite difference is a mathematical expression of the form . If a finite difference is divided by , one gets a difference quotient.
Finite difference coefficient
COEFFICIENT USED IN NUMERICAL APPROXIMATION
Finite difference coefficients
In mathematics, to approximate a derivative to an arbitrary order of accuracy, it is possible to use the finite difference. A finite difference can be central, forward or backward.
Nonstandard finite difference scheme
SET OF METHODS IN NUMERICAL ANALYSIS
Nonstandard finite difference schemes is a general set of methods in numerical analysis that gives numerical solutions to differential equations by constructing a discrete model. The general rules for such schemes are not precisely known.
Finite-difference frequency-domain method
NUMERICAL SOLUTION METHOD OF COMPUTATIONAL ELECTROMAGNETICS
Fdfd; Finite-Difference Frequency-Domain; Finite-difference frequency-domain
The finite-difference frequency-domain (FDFD) method is a numerical solution method for problems usually in electromagnetism and sometimes in acoustics, based on finite-difference approximations of the derivative operators in the differential equation being solved.
Finite element method
![(b) The [[sparse matrix]] ''L'' of the discretized linear system](https://commons.wikimedia.org/wiki/Special:FilePath/Finite element sparse matrix.png?width=200 "(b) The [[sparse matrix]] ''L'' of the discretized linear system")
NUMERICAL METHOD FOR SOLVING PHYSICAL OR ENGINEERING PROBLEMS
Finite element analysis; Finite Element Analysis; Finite elements; Finite element; Finite Element Method; Engineering treatment of the finite element method; Finite element solver; Finite element meshing; Finite element problem; Engineering treatment of the Finite Element Method; Finite element methods; Finite difference method based on variation principle; Finite elements analysis; Finite-element method; Finite-element analysis; Finite-element methods; Nonlinear finite element analysis
The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential.
Just-noticeable difference
AMOUNT THAT A STIMULUS MUST BE CHANGED TO BE DETECTED
Jnd; Differential threshold; Difference threshold; Just-noticable difference; Difference limen; Just noticeable difference; Just noticeable differences
In the branch of experimental psychology focused on sense, sensation, and perception, which is called psychophysics, a just-noticeable difference or JND is the amount something must be changed in order for a difference to be noticeable, detectable at least half the time (absolute threshold). This limen is also known as the difference limen, difference threshold, or least perceptible difference.
Finite morphism
Finite map (algebraic geometry); Finite type scheme
In algebraic geometry, a finite morphism between two affine varieties X, Y is a dense regular map which induces isomorphic inclusion k\left[Y\right]\hookrightarrow k\left[X\right] between their coordinate rings, such that k\left[X\right] is integral over k\left[Y\right]. This definition can be extended to the quasi-projective varieties, such that a regular map f\colon X\to Y between quasiprojective varieties is finite if any point like y\in Y has an affine neighbourhood V such that U=f^{-1}(V) is affine and f\colon U\to V is a finite map (in view of the previous definition, because it is between affine varieties).
Musical technique
GROUP OF TECHNIQUES RELATING TO THE COMPOSING, PRODUCTION OR PERFORMANCE OF MUSIC
Technique (music); General Instrumental technique; Performance technique; Instrumental technique; Brass technique; String instrument technique; String technique; Brass instrument technique; Stringed instrument technique; Woodwind technique; Woodwind instrument technique; Percussion technique; Percussion instrument technique; Percussion instrumental technique; Woodwind instrumental technique; Brass instrumental technique; String instrumental technique; Stringed instrumental technique
Musical technique is the ability of instrumental and vocal musicians to exert optimal control of their instruments or vocal cords in order to produce the precise musical effects they desire. Improving one's technique generally entails practicing exercises that improve one's muscular sensitivity and agility.
Relative change and difference
TECHNIQUES USED TO COMPARE TWO QUANTITIES
Percent error; % difference; Percent Difference; %difference; %ch; Relative difference; Percentage change; Percent change; Relative percent difference; Percentage increase; Relative change; Percent difference; Δ%; %CH; Percentage difference; Percent discrepancy; Log point; Log change
In any quantitative science, the terms relative change and relative difference are used to compare two quantities while taking into account the "sizes" of the things being compared. The comparison is expressed as a ratio and is a unitless number.
Minimal important difference
STATISTICALLY SIGNIFICANT MINIMUM SET OF CLINICAL OUTCOMES THAT DEMONSTRATES A CLINICAL BENEFIT OF AN INTERVENTION OR TREATMENT
Wikipedia talk:Articles for creation/Minimal Clinically Important Difference; Minimal Clinically Important Difference; Minimal clinically important difference
The minimal important difference (MID) or minimal clinically important difference (MCID) is the smallest change in a treatment outcome that an individual patient would identify as important and which would indicate a change in the patient's management.
Википедия
Finite difference method
In numerical analysis, finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives with finite differences. Both the spatial domain and time interval (if applicable) are discretized, or broken into a finite number of steps, and the value of the solution at these discrete points is approximated by solving algebraic equations containing finite differences and values from nearby points.
Finite difference methods convert ordinary differential equations (ODE) or partial differential equations (PDE), which may be nonlinear, into a system of linear equations that can be solved by matrix algebra techniques. Modern computers can perform these linear algebra computations efficiently which, along with their relative ease of implementation, has led to the widespread use of FDM in modern numerical analysis. Today, FDM are one of the most common approaches to the numerical solution of PDE, along with finite element methods.
