5
votes
Accepted
Obstacle too thin in fluid-structure interaction, so I consider it as membrane
About your question #1: Whether something is "thin enough to be a membrane" or not is not a question of thickness. A "membrane" is an object that has no resistance to bending, just ...
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5
votes
Getting started with finite element modelling
I would suggest that you start with FreeCAD. It is a CAD software and you can do Finite Element Analysis using the graphic interface pretty straightforward. FreeCAD provides you all the stages needed ...
- 8,207
4
votes
Best platform for complex SDPs with n and m around 5-15K?
You can try using SCS, either the direct or indirect solver. SCS uses first-order methods, and hence may be able to solve larger problems than second-order solvers such as SDPT3, SeDuMi, MOSEK, etc. ...
- 2,077
4
votes
Obstacle too thin in fluid-structure interaction, so I consider it as membrane
For comment #2 I would suggest looking into the immersed boundary (IB) method. The idea behind this method is to combine an Eulerian description of the fluid with a Lagrangian description of the solid ...
- 342
3
votes
Software for cellular automota
Well Mathematica provides a reasonable amount of intrinsic functionality for working with Cellular Automata. It's not an area of the system I have extensive experience of and I don't know how it ...
3
votes
Accepted
Simulate Jump-Diffusion $dX_t = \mu(X_t)dt + \sigma(X_t)dW(t) + \int_{\{|c| <1 \}}g(X_t,c)\tilde{N}(dt,dc) + \int_{\{|c| \ge 1 \}}h(X_t,c)N(dt,dc)$
You can try DifferentialEquations.jl for jump diffusions. It has a tutorial on jump diffusion models:
https://diffeq.sciml.ai/stable/tutorials/jump_diffusion/
and more documentation at:
https://diffeq....
- 12.1k
3
votes
Accepted
Recommendation for a fixed-step ODE solver?
I think DifferentialEquations.jl in Julia has a very comprehensive suite of ODE solvers, including the ones you mentioned (Adams-Bashfort and GBS) and many others. This Julia library is becoming more ...
- 8,572
3
votes
Getting started with finite element modelling
In my experience, learning FEM is less about coding and more about learning the math that constitutes the foundation of the method. Essentially coding FEM simulations boils down to physics and ...
- 674
3
votes
Good IDE for GNU Octave?
QtOctave (source1, source2) among many others like OctaveOnline, Jupyter Notebook, Emacs, Sublime Text, VS Code, etc. support Octave code editing, syntax highlighting, and more.
...
- 133
2
votes
Library for Discontinuous Galerkin method: FEniCS vs deal.ii
For Hyperbolic PDEs I can highly recommend Trixi, a (if you want) high order Discontinuous Galerkin based solver with adaptive mesh refining capabilities written in ...
- 849
2
votes
Software for cellular automota
CellularAutomata.jl is a fairly efficient CA simulation package.
https://github.com/MartinuzziFrancesco/CellularAutomata.jl
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2
votes
Software for cellular automota
You may want to try Ready https://gollygang.github.io/ready/ especially if you are going for continous valued/reaction diffusion/FDTD type systems:
Ready is a program for exploring continuous and ...
- 121
2
votes
Disjunctive programming software
I haven't used it, but Pyomo, a seemingly well-supported modeling software includes a module for generalized disjunctive programming.
One of the many examples they provide at the above link appears as ...
- 3,606
2
votes
Numerical packages to solve Volterra integral equations
You can usually solve these kinds of equations via a transformation. Shampine discusses how Volterra integral equations can be transformed into an ODE which is then solved with a stiff ODE solver. If ...
- 12.1k
2
votes
GPGPU computing, software selection
Before you start down this path it's important to determine whether there's enough data parallelism in your current code to make using a GPU worthwhile. I'd encourage you to start by describing your ...
- 18.2k
2
votes
Accepted
GPGPU computing, software selection
It is recommended to think about parallelization first and then discuss the implementation. Think about what the code does, what data dependencies exist, and what operations can be carried out in ...
- 353
2
votes
GPGPU computing, software selection
OpenCL is runnable on multicore cpu, intel hd graphics and even DSP cards. It was pretty much the standard for cross platform gpu computing until compute shaders were introduced.
There are various ...
- 243
2
votes
Accepted
Writing code on the CPU while developing, running it on the GPU when live - which approach?
ArrayFire has a C++ API as well as a Python API. You can switch between several backends including CPU, CUDA, and OpenCL. It will also handle memory movement and kernel fusion for you. An example:
<...
- 3,606
2
votes
Writing code on the CPU while developing, running it on the GPU when live - which approach?
One way to do this is to use Julia. Julia's CUDAnative.jl allows for automated recompilation of pretty general code to GPUs using the LLVM PTX backend. It just works on standard Julia code, so types, ...
- 12.1k
2
votes
Tool to compare if two logical expressions are same!
Based on m previous comment, here is an example of a Python implementation to check in a brute-force manner that two conditions are equivalent. I just basically test all possible combinations for the ...
- 1,669
2
votes
Tool to compare if two logical expressions are same!
Here is not exactly a tool but a convenient way to compare logical expressions graphically. Use electric circuits to represent your Boolean expressions: each resistor can be open gate (F) or closed ...
- 2,230
2
votes
Accepted
Unstructured mesh preprocessing
I would leave out a few things to make it more simple.
This is how we do it for our code which is capable of using polyhedral meshes:
https://github.com/nikola-m/freeCappuccino-dev/blob/master/src/...
- 1,393
1
vote
Integrate a function from samples using computer codes
If your samples were done following a grid, then you could integrate it using a quadrature method. These methods are available in several programming languages, such as Python or Matlab.
Also, as ...
- 8,207
1
vote
Need software for generating self-avoiding random walks on a tetrahedral lattice
I fixed the compilation issues in the Roulattice package you mentioned and it now compiles and seems to do stuff. Most of the issues were easily solvable, though there's an uninitialized memory error ...
- 3,606
1
vote
Tool to compare if two logical expressions are same!
If I recall correctly, every formula has a unique canonical conjunctive normal form and for each possible truth table you could make from some set of variables there is a corresponding canonical CNF. ...
- 3,606
1
vote
Job Scheduler for Local Machine
I would guess that it is possible to deploy PBS and SLURM on your local machine, but I'd personally say that's a bit overkill.
I tend to use simple bash scripts. You can then list the execution ...
- 2,461
1
vote
How to minimize $(x-a)^2+(y-b)^2$ subject to $ \sqrt{a}+\sqrt{b}=\sqrt{2}$?
@federicopolini is right in his answer: Introduce
$$
c= \sqrt{a}, d=\sqrt{b}
$$
and your optimization problem will now read as follows:
$$
\min (x-c^2)^2+(y-d^2)^2
$$
subject to the constraints
$$
...
- 52.9k
1
vote
How to minimize $(x-a)^2+(y-b)^2$ subject to $ \sqrt{a}+\sqrt{b}=\sqrt{2}$?
From a comment: I suggest you to set $\sqrt{a}:=c$ and $\sqrt{b}:=d$ and then pass the problem in the variables c,d to whatever computational software you are using. I would avoid those non-smooth ...
- 10.1k
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