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numerical integral - traduction vers russe
EQUATIONS IN WHICH AN UNKNOWN FUNCTION APPEARS UNDER INTEGRALS
Integral equations; Singular integral equation; Singular integral equations; Numerical methods for integral equations; Integral Equations
numerical integral
математика
числовой интеграл
integral approximation
![Antique method to find the [[Geometric mean]]](https://commons.wikimedia.org/wiki/Special:FilePath/Geometric mean.svg?width=200 "Antique method to find the [[Geometric mean]]")
FAMILY OF ALGORITHMS FOR FINDING THE DEFINITE INTEGRAL OF A FUNCTION
Numerical Integration; Numerical quadrature; Squaring of curves; Cubature; Integral approximation; Integration point; Numerical integration (quadrature); Quadrature rules; Approximate integration; Numeric integration
математика
интегральное представление (аналитической функции)
cubature
FAMILY OF ALGORITHMS FOR FINDING THE DEFINITE INTEGRAL OF A FUNCTION
Numerical Integration; Numerical quadrature; Squaring of curves; Cubature; Integral approximation; Integration point; Numerical integration (quadrature); Quadrature rules; Approximate integration; Numeric integration
['kju:bətʃə]
математика
кубатура
кубатурный
нахождение объёма
объем
существительное
общая лексика
объём
кубатура
математика
возведение в куб
Définition
cubature
['kju:b?t??]
¦ noun the determination of the volume of a solid.
Wikipédia
Integral equation
In mathematics, integral equations are equations in which an unknown function appears under an integral sign. In mathematical notation, integral equations may thus be expressed as being of the form:
where is an integral operator acting on u. Hence, integral equations may be viewed as the analog to differential equations where instead of the equation involving derivatives, the equation contains integrals. A direct comparison can be seen with the mathematical form of the general integral equation above with the general form of a differential equation which may be expressed as follows:where may be viewed as a differential operator of order i. Due to this close connection between differential and integral equations, one can often convert between the two. For example, one method of solving a boundary value problem is by converting the differential equation with its boundary conditions into an integral equation and solving the integral equation. In addition, Because one can convert between the two, differential equations in physics such as Maxwell's equations often have an analog integral and differential form. See also, for example, Green's function and Fredholm theory.
