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Category: Numerical Analysis Programming

Here you may find useful articles and programs on Numerical Analysis.

Geometry Optimization Algorithms and implementations using Quantum ESPRESSO

DFT Numerical Analysis Programming Numerical Analysis Theory Quantum EspressoNov 2, 2018Nov 2, 2018 Manas Sharma

So, I’ve been using Quantum ESPRESSO (QE) for a while now. And it’s relaxation (optimization) functionality as well. Now, although I had a…

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Determinant of the Hilbert Matrix – C PROGRAM

C Programs Matrix Operations Miscellaneous Numerical Analysis ProgrammingJun 6, 2018 Manas Sharma

I have recently written a post that calculates the determinant of a given square matrix using the Gaussian elimination technique. In the last…

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Chi Square Minimization using initial guesses – C PROGRAM

C Programs Numerical Analysis ProgrammingJun 6, 2018 Manas Sharma

Method # 1: Chi-square minimization Fitting a dataset (xi,yi,si) using a curve y=f(x)=a*exp(bx), where values of the parameters a and b are unknown,…

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Calculating Value of Pi using Monte Carlo Technique – C PROGRAM

C Programs Numerical Analysis Programming Random NumbersJun 6, 2018Jun 6, 2018 Manas Sharma

Recently in my Numerical Techniques class I learnt a Monte Carlo technique to calculate the value of Pi . The procedure is really…

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Central Limit Theorem Demonstration – C PROGRAM

C Programs Numerical Analysis Programming Random NumbersJun 4, 2018May 4, 2020 Manas Sharma

One of the fundamental theorems of probability is the Central Limit Theorem. This theorem says that if is the sum of mutually independent…

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Acceptance-Rejection Method (Rejection Sampling) for generating distributions- C PROGRAM

C Programs Numerical Analysis Programming Random NumbersJun 3, 2018Jun 6, 2018 Manas Sharma

Acceptance-Rejection method can be used to produce random numbers following a certain probability density function. This is done by generating random numbers following…

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Polynomial Fitting – C PROGRAM

C Programs Numerical Analysis ProgrammingJun 1, 2018Jun 5, 2018 Manas Sharma

Okay, so here I am sharing a code for fitting a polynomial to a given set of data-points using the Least Squares Approximation Method(Wikipedia).…

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Exponential Fitting – C PROGRAM

C Programs Numerical Analysis ProgrammingJun 1, 2018Jun 5, 2018 Manas Sharma

In this post I will be showing you how to write a code that fits the data-points to an exponential function, like: where,…

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curve fitting data exponential

Linear Fitting – C PROGRAM

C Programs Numerical Analysis ProgrammingMay 28, 2018Jun 5, 2018 Manas Sharma

In this post I am sharing a C program that uses the least-squares approximation (also known as Chi square minimization) to find the…

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Simulate a DICE THROW – C PROGRAM

C Programs Numerical Analysis Programming Random NumbersMar 19, 2018Jun 6, 2018 Manas Sharma

In the last post I wrote about how to generate random numbers in a given range: [min, max]. In this post we will…

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