numerical analysis

Basics of Numerical Analysis : Free test Evaluation

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The condition number is used to define how sensitive the output is concerning changes in the input. Thus, a problem with a high condition will yield results out of huge errors

Consider the statement

true
false

Since you aim to use machines to reduce your calculation time you should always make sure to analyze the problem you’re feeding into a specific algorithm to avoid getting erroneous results.

consider the statement

Yes
No

Error always plays a very minor role when you’re dealing with approximations

true
false

When you use numerical analysis to find the value of integration then it leads to erroneous answers

yes
no
depend

The numerical analysis provides you with multiple methods for interpolation, some of them being LaGrange’s interpolation, Newton divided difference, newton’s forwards and backward difference and Neville interpolation

true
false

Numerical integration is just a set of methods or algorithms to find the value of definite integrals

true
false

To solve a nonlinear equation we have many multiple methods such as the Bisection method, fixed-point iteration method, secant method, newtons method.

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false

The idea behind numerical solutions of a Diﬀerential Equation is to replace diﬀerentiation by diﬀerencing

true
false

A system of the linear equation has a unique solution if the number of variables is not equal to the number of unique equations.

true
false

The problem with the one-step method is that it only considers one previous point when calculating the next step

yes
no