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What are the advantages of the Euler's modified method over Euler's method?
The advantage of the modified method is the improved accuracy - the error is of order h3 as opposed to h2, where h is the step size. Since the step size is required to be small for the methods to give fair approximations (h
Which research method uses counterbalancing?
Experiments can be counterbalanced in order to overcome order effects.
What professions use order of operations?
No professions use order of operations. It is just a method of solving an equation.
Is a series of logical steps that is followed in order to solve a problem?
Scientific method
What is the rate of convergence for the bisection method?
The rate of convergance for the bisection method is the same as it is for every other iteration method, please see the related question for more info. The actual specific 'rate' depends entirely on what your iteration equation is and will vary from problem to problem. As for the order of convergance for the bisection method, if I remember correctly it has linear convergence i.e. the convergence is of order 1. Anyway, please see the related question.
