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Computational Science : Recent Questions and Answers (Page 25)

Find answers to your questions about Computational Science or help others by answering their Computational Science questions.

What are the practical differences between a Galerkin finite element method vs an orthogonal collocation method?

What are the practical differences between a Galerkin finite element method vs an orthogonal collocation method? The best reference I've found thus far as been a paper titled ...

Asked on 03/31/2021 by wyer33

0 answer

Methods to improve the efficiency and the memory requirement of LU factorization for complex symmetric system matrix

I want to solve a linear set of equations (Ax=b) using LU decomposition. My "A" matrix is a complex matrix which is symmetrical.The code that I work has two...

Asked on 03/30/2021 by HKK

1 answer

Running a Random Number generator in parallel? Will this speed up a computation?

I'm calculating basically a multidimensional random walk problem. To get more accuracy, I need larger systems (more dimensions), which requires longer time. To speed up the calculation,...

Asked on 03/27/2021

1 answer

How to Invert a Poorly Conditioned Matrix

In my research, I need to invert a Fisher matrix in order to get a covariance matrix for me to do parameter estimation. Unfortunately, the values of Fisher matrix vary...

Asked on 03/26/2021 by Brian.C.Seymour

1 answer

Accurate and efficient computation of the logarithm of the ratio of two sines

For exploratory work related to special function implementations, I need to compute $log frac{sin y}{sin x} $, where $0 le x le y le 2x < frac{pi}{2}$. Cases...

Asked on 03/26/2021 by njuffa

1 answer

Starting at a Given Basic Feasible Solution in the Simplex Method

I have a Simplex problem $ A y ge b $, where some of the elements of $b$ are positive and some are negative, and thus setting $y = 0$...

Asked on 03/22/2021 by Sam OT

3 answer

Electrostatic Force - Simulate Trajectory of Test Particle using Runge Kutta - Force always Repels

In the center of a 2D-Plane a positive static charge Q is placed with position r_prime. This charge creates a static electrical Field E. Now i want to place a...

Asked on 03/18/2021 by tester931

1 answer

Writing a Matlab function after calling the ode45 solver

After using ode45 to solve a set of ODEs, I want to write a Matlab function to take the initial conditions x_0 as inputs and gives the final state x_1...

Asked on 03/17/2021 by user36920

1 answer

How to find the nearest/a near positive definite from a given matrix?

I'm given a matrix. How do I find the nearest (or a near) positive definite from it? The matrix can have complex eigenvalues, not be symmetric, etc. However, all its...

Asked on 03/16/2021

2 answer

Cplex C++ Interface: How to add many constraints quickly?

I noticed that adding constraints to an IloModel one by one can be prohibitively slow. (I am referring to the construction of the model, not the optimization.) Suppose I have...

Asked on 03/15/2021 by Bjoern

2 answer

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