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Author: Manas Sharma

I'm a physicist specializing in computational material science with a PhD in Physics from Friedrich-Schiller University Jena, Germany. I write efficient codes for simulating light-matter interactions at atomic scales. I like to develop Physics, DFT, and Machine Learning related apps and software from time to time. Can code in most of the popular languages. I like to share my knowledge in Physics and applications using this Blog and a YouTube channel.

How to calculate the band gap from SCF calculation? [QUANTUM ESPRESSO]

Quantum EspressoFeb 10, 2018Feb 10, 2018 Manas Sharma

I’m writing this post because I had a lot of people asking me about this. Calculating the bandstructure is a straight-forward job in…

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Linear Spline – Piecewise Interpolation [C PROGRAM]

C Programs Numerical Analysis ProgrammingFeb 9, 2018Feb 28, 2018 Manas Sharma

Lagrange or Newton polynomial interpolations are useful interpolation techniques to have in your sleeves, but they don’t always give the best or desired…

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Gauss Elimination – EXERCISES [C Programming]

C Programs Matrix Operations Numerical Analysis ProgrammingFeb 5, 2018Feb 28, 2018 Manas Sharma

In this post we will be doing a few problems on Gauss-Elimination. These problems/exercises were given in my Numerical Analysis class. These will…

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Modifying Gauss-Elimination for Tridiagonal Systems – C PROGRAM

C Programs Matrix Operations Numerical Analysis ProgrammingFeb 5, 2018Feb 28, 2018 Manas Sharma

There are many situations in numerical analysis where we deal with tridiagonal systems instead of a complete set of equations. Therefore, using the…

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Hilbert Matrix – C PROGRAM

C Programs Matrix Operations Miscellaneous Numerical Analysis ProgrammingFeb 4, 2018Feb 28, 2018 Manas Sharma

A Hilbert matrix is defined as: where and Example: In this post I have written a code that generates Hilbert matrices using C…

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Transpose of a Matrix – C PROGRAM

C Programs Matrix Operations Numerical Analysis ProgrammingFeb 4, 2018Feb 28, 2018 Manas Sharma

The transpose of a matrix is the matrix obtained by replacing all elements with The following C code let’s the user enter a…

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Determining Roots of Legendre Polynomials and their weights for Gaussian Quadrature – C PROGRAM

C Programs Miscellaneous Numerical Analysis ProgrammingFeb 2, 2018Jun 5, 2018 Manas Sharma

Gaussian Legendre quadrature/ Gauss-Legendre quadrature is a numerical technique used to calculate the definite integral of a function. This is done by evaluating…

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Determinant of a Matrix – C PROGRAM

C Programs Matrix Operations Numerical Analysis ProgrammingFeb 1, 2018Jun 5, 2018 Manas Sharma

Recently, I wrote a blog-post on how to perform Gaussian Elimination to reduce a matrix to the echelon form and solve a system…

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Gauss Elimination – C PROGRAM

C Programs Matrix Operations Numerical Analysis ProgrammingFeb 1, 2018Jun 5, 2018 Manas Sharma

In this post I am sharing with you, several versions of codes, which essentially perform Gauss elimination on a given matrix and reduce…

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Lagrange Interpolation Polynomial – C PROGRAM

C Programs Numerical Analysis ProgrammingJan 15, 2018Jun 5, 2018 Manas Sharma

Given a set of data-points , the Lagrange Interpolating Polynomial is a polynomial of degree , such that it passes through all the…

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