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Computational Science Weekly Newsletter - Tuesday, April 28, 2015

Computational Science newsletter

Top new questions this week:

Need a good reference for numerical transport phenomena

I'm a chemical engineering undergraduate and I'm currently starting to work in a theoretical transport phenomena/colloid science group. While my group has a nice code base for larger scale ...

finite-difference reference-request  
asked by ColloidSci 4 votes
answered by Geoff Oxberry 2 votes

Numerical solution of IVP for linear ODE with variable coefficient blows up

Cross posted in Mathematica.SE, I'll try to rephrase it in a more general way here. A friend of mine showed me this initial value problem (IVP) for a linear ordinary differential equation (ODE) with ...

ode stability time-integration  
asked by xzczd 3 votes
answered by Bill Greene 2 votes

optimization subject to disjunction of inequality constraints

I want to solve $$\min_x f(x)\qquad \textrm{s.t.}\qquad g_i(x) \geq 0\ \ \textrm{or}\ \ h_i(x) \geq 0$$ for $i=1,\ldots,m$. Clearly if the inequality constraints split the feasible set into $2^m$ ...

constrained-optimization  
asked by user168715 3 votes
answered by Geoff Oxberry 0 votes

2D Poisson Solver for Taylor Green Vortex Problem

I am trying to write a 2D Navier Stokes solver using an RK3 for time advancement in python. For debugging, I have converted the RK3 to an Euler step for simplicity. Checking my divergence for my ...

fluid-dynamics python poisson navier-stokes  
asked by cbell14 3 votes

Shell vs frame element model stiffness differences

I have a model of a tall, slender structure that I am investigating using both shell and 3D frame elements. The shell elements are type MITC4, 4-node membrane elements. The frame elements are the ...

finite-element  
asked by Madeleine P. Vincent 3 votes
answered by Bill Greene 0 votes

2D wave equation with Mur boundary condition - setting up the RHS and solving (time-steps)

I am trying to solve a 2D wave equation implicitly using FD with central approximations with the following boundary conditions $$\begin{align} &u=2\sin\left(\frac{2\pi}{5}t\right)\quad \text{at ...

matlab finite-difference boundary-conditions wave-propagation  
asked by user2579288 3 votes

Natural spline conditions for 2D cubic splines

I am currently working on 2D interpolation and I am using cubic splines. In 1D given N points one would use N+2 splines and would have to apply additional constraints in order to achieve a square ...

image-processing  
asked by user2785954 2 votes
answered by Thomas Klimpel 1 vote

Greatest hits from previous weeks:

Basic explanation of shape function

well this is my first time posting here. I just started studying FEM in a more structured basis compared to what I used to do during my undergraduate courses. I'm doing this because, despite the fact ...

finite-element  
asked by Alfonso Santiago 8 votes
answered by Christian Clason 14 votes

C++ vs Fortran for HPC

In my computational science PhD program, we are working almost exclusively in C++ and Fortran. It seems like some professors prefer one over the other. I am wondering which one is 'better' or if one ...

hpc fortran c++ languages  
asked by Laurbert515 32 votes
answered by khinsen 38 votes

Can you answer these?

Aliasing question for a spectrally derived Lagrangian

Consider two functions $$X=\sum_{n=-N}^N i\ sign(n) y_n e^{-in\xi}; \quad \quad Y = \sum_{n=-N}^N y_n e^{-in\xi}.$$ where $y_n$ are the dependent variables of the system, and are functions of time. ...

spectral-method  
asked by Nick P 1 vote

Minimum effort merging of two sets

I have the following problem. I have two sequences of elements $A = [a_1,a_2,\cdots,a_n]$ and $B = [b_1,b_2,\cdots,b_m]$. I can build a matrix $D[n \times m]$ where $d_{ij} = d(a_i,b_j)$ My greedy ...

algorithms parallel-computing eigenvalues  
asked by Ramón 1 vote

Efficient Implementation of the Log Sum Exp Log trick for Preventing Underflow erros

So I'm constructing a Gibbs sampler for a moderately sized graphical model, and I started encountering underflow errors (the computed relative frequencies were all very small). To get around this, ...

efficiency numerical-limitations  
asked by Dan 1 vote
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