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Assume the time-dependent linear elasticity equation. Using a finite element discretization we obtain $$Mddot{u}=Ku+F_text{ext}$$ where $M$ is the mass matrix,$K$ is the stiffness matrix, and $F_text{ext}$...
Asked on 03/02/2021
1 answerIn the Computational Materials Science: An Introduction by June Lee, he discusses molecular dynamics and density functional theory with examples from LAMMPS and QuantumEspresso, and explains LAMMPS and QuantumEspresso in...
Asked on 03/02/2021
0 answerI want to study the dynamics of a 2d linear flow, whose dynamical equation is- $begin{pmatrix} dot{x_1} dot{x_2} end{pmatrix}=begin{pmatrix} 1 & 1 4 & -2 end{pmatrix}begin{pmatrix} x_1 x_2 end{pmatrix}$....
Asked on 03/01/2021 by Anirban Majumdar
1 answerThis is a follow up to my previous question posted here I'm trying to construct the sparsity pattern of the jacobian matrix to speed up the computation of a...
Asked on 02/28/2021
1 answerI am a newbie to convex optimisation and I am learning with the aid of CVXPY. I am requesting for clarity on the illumination problem as described in Boyd &...
Asked on 02/27/2021 by Supremum
0 answerI parallelized my code with openMP, and now have this bug in my code that's really odd. If it's the first time I run on a computer, it segfaults, but...
Asked on 02/26/2021 by EMP
0 answerSuppose $n$ inputs ($x_1, x_2, x_3, cdots, x_n$) can take on any of $m$ values, say ${ k_1, k_2, k_3, cdots, k_m }$, and that there...
Asked on 02/25/2021
0 answerI have a 3D diffusion equation that I want to solve using a time splitting (2D+1D). Assume that $A$ is the 2D discrete diffusion operator and $B$ is...
Asked on 02/21/2021 by Chack.Flack
1 answerI was wondering if anyone could recommend a good book or resource on numerical methods for solving integro-differential equations? Of course I am familiar with the methods for solving ODEs...
Asked on 02/20/2021 by krishnab
0 answerI must solve the following second order differential equation: $delta phi^{''}_{mathbf{k}}+(3-epsilon)delta phi^{'}_{mathbf{k}}+left(frac{k^2}{a^2 H^2}+frac{V_{,phiphi}}{H^2}-6epsilon +4epsiloneta -2epsilon^2right)delta phi_{mathbf{k}}=0;$ which is that of scalar field perturbations at linear order in cosmic inflation....
Asked on 02/19/2021 by user33042
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