# numerical approximation in a sentence

1) For more rigorous and precise analysis, the

**numerical**

**approximations**must be used.

approximation collocations

2) In addition, they can give answers in exact form without

**numerical**

**approximations**.

3) That is, it is the quantity if refers to the exact value and to the

**numerical**

**approximation**.

## numerical **approximation** example sentences

4) All of them allow one to compute a **numerical**

**approximation**of the solutions by solving one or several univariate equations.

5) Algorithmic uncertainty, aka

**numerical**uncertainty, which comes from

**numerical**errors and

**numerical**

**approximations**per implementation of the computer model.

6) He made great strides in improving the

**numerical**

**approximation**of integrals, inventing what are now known as the Euler approximations.

7) However, root-finding algorithms may be used to find

**numerical**

**approximations**of the roots of a polynomial equation of any degree.

8) Otherwise one must generally resort to

**numerical**

**approximations**such as the finite element method , the finite difference method , and the boundary element method .

9) An atmospheric model is a

**numerical**

**approximation**of the physical description of the state of the atmosphere in the near future, and usually is run on a supercomputer.

10) Note that this means that finite-difference methods produce sets of discrete

**numerical**

**approximations**to the derivative, often in a "time-stepping" manner.

11) These were the most accurate

**approximations**of π given since the 5th century (see History of

**numerical**

**approximations**of π).

12) Variants of this method produce good

**numerical**

**approximations**for the critical exponents when many terms are included, in two and three dimensions.

13)

**Numerical**methods for ordinary differential equations are methods used to find

**numerical**

**approximations**to the solutions of ordinary differential equations (ODEs).

14) It may be possible to find an antiderivative symbolically, but it may be easier to compute a

**numerical**

**approximation**than to compute the antiderivative.

15) As the main tool for solving such problems, backwards stochastic differential equations (BSDEs) and their

**numerical**

**approximations**will be chosen.

### example sentences with **numerical** **approximation**

16) Both the projections and the reconstruction area are divided into pixels, and a **numerical**

**approximation**of the true mathematical technique is introduced.

17) We can compute a

**numerical**

**approximation**to the derivative of __FORMULA__ at __FORMULA__ with:

18)

**Numerical**

**approximations**for the normal CDF

19) implement different

**numerical**

**approximations**to

20)

**Numerical**

**approximations**to solutions of the Lorenz equations are complicated for wide ranges of the parameters o, b and r.

21) So, Euler's method is a way to find

**numerical**suits

**approximations**for initial value problems that we cannot solve analytically . 0031

22) "dense output": cheap

**numerical**

**approximations**for the whole integration interval, and not only at the points "t"0, "t"1, "t"2, ...

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