Computational Science Weekly Newsletter - Tuesday, December 30, 2014

Computational Science newsletter

Top new questions this week: Gradient of a vector on a triangulated lattice Suppose I have a triangulated mesh and I have solved a differential equation problem and have a solution phi. From phi I can construct a vector field, how would I go about computing the gradient of ... numerical-analysis   asked by skywalker 3 votes answered by user7257 4 votes How we can implement the result of maximum principle in our numerical optimization algorithm? I have an algorithm (in R) that maximizes a convex function on a compact convex set in every iteration. Based on the maximum principle, I know that the maximima are only attained on the boundary. But ... convex-optimization r   asked by Ehsan 2 votes answered by Dirk 2 votes Solving Kepler equation for true or eccentric anomaly Is there any reason to always solve the Kepler equation for the eccentric anomaly, $E$, instead of the more meaningful (at least to me) true anomaly, $\theta$? Solving for the eccentric anomaly ... newton-method   asked by fibonatic 1 vote answered by Kirill 0 votes How to determine the support/influence domain for irregularly distributed nodes in the Element-Free Galekin Method? EDIT (26-12-14):In the Belytschko's EFG code, the domain of influence for uniform distributed node can be calculated using the code below; my question is how to calculate xspac and yspac when the ... finite-element computational-geometry meshless-methods   asked by adesam01 1 vote answered by Paul 1 vote Solving first-order ODE with Dirichlet b.c. using CDS -> singular matrix I decided to solve using finite differences one of the simplest differential equations which has an analytic solution, notably $\frac{du(x)}{dx}=2x$. The equation is first-order ODE with quadratic ... finite-difference   asked by Neits 1 vote answered by Jan 2 votes Stationary 2D/3D Navier-Stokes source code Trying to solve stationary Navier-Stokes problem for incompressible laminar Newtonian fluid. I've found a couple solutions for instationary Navier-Stokes equations (like FeniCS examples or CFD ... pde python fenics navier-stokes   asked by Igor Kustov 1 vote Greatest hits from previous weeks: What are some good strategies for improving the serial performance of my code? I work in computational science, and as a result, I spend a non-trivial amount of my time trying to increase the scientific throughput of many codes, as well as understanding the efficiency of these ... performance   asked by Aron Ahmadia 40 votes answered by Pedro 40 votes Time stepping in comsol multiphysics I would like to know which is the algorithm Comsol uses in order to correct the time step it uses. For example, when you try to solve an equation you've written in the PDE coefficient interface, and ... pde discretization comsol   asked by Lorenzo Nespoli 3 votes answered by Stefano M 2 votes Can you answer this? Find the solution of linear equation using Wiedemann/ Krylov method Let given $M =$ 1 0 1 0 1 1 1 1 1 and $b =$ 1 0 1 How to find the solution $x_3$ where $x=${$x_1,x_2,x_3$}? Solution: Based on Wiedemann algorithm we has ... matlab linear-algebra   asked by user8264 6 votes

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