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Что (кто) такое numerical integral - определение
EQUATIONS IN WHICH AN UNKNOWN FUNCTION APPEARS UNDER INTEGRALS
Integral equations; Singular integral equation; Singular integral equations; Numerical methods for integral equations; Integral Equations
cubature
![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
['kju:b?t??]
¦ noun the determination of the volume of a solid.
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
·noun The process of determining the solid or cubic contents of a body.
numerical analysis
STUDY OF ALGORITHMS THAT USE NUMERICAL APPROXIMATION FOR THE PROBLEMS OF MATHEMATICAL ANALYSIS
Numerical Analysis; Numerical solution; Numerical methods; Numerical approximation; Numerically; Numerical computation; Numberic; Numerical mathematics; Numerical calculus; Numeric analysis; Numerical algorithm; Numeric method; Numeral analysis; Numerical software; Numerical programming; Numerical evaluation; Numerical calculation; Numeric computation; Numerical computing; Numerical analysis software; Numerical analyst; History of numerical analysis; Numeric algorithm
¦ noun the branch of mathematics concerned with the development and use of numerical methods for solving problems.
Википедия
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.