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Questions tagged [computational-mathematics]

This tag concerns computational problems central to mathematical and scientific computing. The scope includes algorithms, numerical analysis, optimization, and linear algebra, computational topology, computational geometry, symbolic methods, and inverse problems.

Computational mathematics involves mathematical research in areas of science where computing plays a central and essential role, emphasizing algorithms, numerical methods, and symbolic methods. Subtopics include numerical linear algebra, numerical optimization, computational geometry, numerical PDEs and inverse problems.

Consider also posting your question at Computational Science Stack Exchange.

1945 questions
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Continuous Compounding Annuities - Sum to a GP versus Integration

I came across a problem as follows - A bank pays interest @6% per annum compunded continuously. If a person places 1000 in bank each year (assuming in the end of each year), how much will be in his account after 3 years? Now we have 2 methods to…
Sourabh Gupta
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Order of accuracy for trapezoidal integration

I have a question regarding the order of accuracy for certain function using the trapezoidal formula. I know that from theory the formula is second order accurate, but when working with matlab I get different answers. I calculated the order of…
Zephron
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How do I read this formula?

It's been a long time since my college days, so I need some help for something that is likely pretty simple to most of you. In the book Factory Physics, there is a formula for Service Level stated as follows: $$Service Level = P\{CycleTime \le…
RDCushing
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How accurate would it be to find elapsed time using julian dates?

How accurate would it be to find elapsed time using two fractional Julian day numbers, subtracting them then converting it into Years, Months, Days,Hours, Minutes, Seconds. If it is how would I go about doing it taking into account leap years and…
Quesurfin
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Calculate increment/decrement percentage from two values

Hi all I got a very stupid question which I could not figure out how to solve it. So basically I am trying to calculate how many percentage of increment/decrement for the expense and income of current from past month. So let's say I got these…
QWERTY
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Deducing the original function from Newton's method

Given the iterative definition $$x_{n+1} = 2x_n - x_n^2y$$ Identify the origin function from the Newton's iteration. My thoughts: From Newton's method, $x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}$, so it must be that $\frac{f(x_n)}{f'(x_n)} = x_n^2y -…
bli00
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Why does Mathematica give 1, 1/2, -1/8 and not 1, -1/2, 3/8 for ${1/2 \choose 0}, {1/2 \choose 1}, {1/2 \choose 2}$

$\binom{-1/2}{n}=\left (\frac{1}{n!}\right )\left (\frac{-1}{2}\right )\left (\frac{-3}{2}\right )\dots\frac{-(2n-1)}{2}=(-1)^n\frac{(2n-1)!!}{2n!!}$ The first three values are 1, -1/2, 3/8. binom[n_] := Binomial[1/2, n] Table[binom[i], {i, 0,…
user5389726598465
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Help with Equation

I have no idea what im doing but would like some help please I am creating a website based on a scoring system and would like help with part of an equation: I have a Base Score(b), Individual Score(i), and would like to add a kind of multiplier…
Jesse Best
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A Maths Budgeting Puzzle

A maths puzzle is as follows: Bonger have a printing budget of $119.40. Bonger have 5 children. Each children may do some printing, subject to the printing limit that their father impose, at any day(s) in a period of 365 days. There is a company who…
user275517
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Is the function $y=xe^x$ invertible?

I'm wondering if the equation $re^r=se^s$ has any answer. If there is any answer,and $r=-1+v,s=-1-v$ in which $v$ is a positive real number,what can we say about $v$? Thank you in advance.
MAh2014
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How to make Poisson voronoi diagram

I am facing a problem as follows : I want to make poisson voronoi diagram & for this I have to appropriately choose some generating points. Sources on internet(WIKI) refers that these points have to be obtained from poisson processes. So, how can I…
Madhusudana
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Formula for maximal usage

I'm a programmer with a way to easy question for this site, please correct me if I'm wrong. I have the following given: Request Rate: 39 000 requests per hour Variable number of products I need to run a request for Variable number of marketplaces I…
baao
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Floating-point arithmetic error

Suppose you need to generate $n + 1$ equally spaced points on the interval $[a, b]$, with spacing $h = \frac{b-a}{n}$. In floating-point arithmetic, which of the following methods: $x_0=a$, $x_k = x_{k-1}+h$ ($k=1,2,...n$) or $x_k = a+kh$…
ghjk
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Design a DFA with following condition.

A DFA that accepts a language in which every odd position of a string is a 1 with inputs as {0,1}
annie
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How is the status of a bigger number known while the smaller not?

In this wolfram mathworld article in the table below the status of $2059$ is known before the some smaller numbers, or they choose to aim the computation for that specific number?
waqar
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