Examples of using Finite difference in English and their translations into Serbian
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Calculus of finite differences.
Finite difference method(FDM).
Calculus of finite differences.
Finite difference method(FDM).
Rules for calculus of finite difference operators.
Finite differences can be considered in more than one variable.
Another of de Montmort's interests was the subject of finite differences.
A generalized finite difference is usually defined as.
Numerical methods of solving PDE:method of finite differences and elements.
A finite difference is a mathematical expression of the form f(x+ b)- f(x+ a).
Numerical methods of solving PDE:method of finite differences and elements.
Finite difference method for solving Scrodinger equation. Heat transfer.
In this viewpoint,the formal calculus of finite differences is an alternative to the calculus of infinitesimals.
The finite difference of higher orders can be defined in recursive manner as Δhn≡ Δh(Δhn- 1).
One of these structures is that one of recursively enumerable sets under inclusion modulo finite difference;
If a finite difference is divided by b- a, one gets a difference quotient.
She provided the first rigorous proofs of the convergence of a finite difference method for the Navier-Stokes equations.
The finite difference of higher orders can be defined in recursive manner as Δn h≡ Δh(Δn- 1 h).
She provided the first rigorous proofs of the convergence of a finite difference method for the Navier-Stokes equations.
The formal calculus of finite differences can be viewed as an alternative to the calculus of infinitesimals.[4].
This can be proven by expanding the aboveexpression in Taylor series, or by using the calculus of finite differences, explained below.
In an analogous way, one can obtain finite difference approximations to higher order derivatives and differential operators.
Certain recurrence relations can be written as difference equations by replacing iteration notation with finite differences.
If necessary, the finite difference can be centered about any point by mixing forward, backward, and central differences. .
One of these structures is that one of recursively enumerable sets under inclusion modulo finite difference; in this structure, A is below B if and only if the set difference B- A is finite. .
Today, the term"finite difference" is often taken as synonymous with finite difference approximations of derivatives, especially in the context of numerical methods.
When the information being represented is stored in a topologically rectangular array(as is common with digital photos,MRI scans, and finite difference simulations), a lower resolution version can easily be generated by skipping n points for each 1 point rendered.
The approximation of derivatives by finite differences plays a central role in finite difference methods for the numerical solution of differential equations, especially boundary value problems.
Interpolation: Lagrange interpolation polynomial, finite difference of a function, Newton's interpolation polynomials, inverse interpolation.
Finite differences have also been the topic of study as abstract self-standing mathematical objects, such as in works by George Boole(1860), L. M. Milne-Thomson(1933), and Károly Jordan(1939), tracing its origins back to one of Jost Bürgi's algorithms(c. 1592) and others including Isaac Newton.