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102 views

How does an automaton actually “compute”?

In my studies in computability I have come across the notion of the "machine", an abstract representation of a device that essentially computes. I have read about Turing Machines and Wolfram's binary ...
2k views

Sparse Matrix Library for GPU

Anyone knows a good library which implements basic sparse matrix operations such as transpose, SpMV eigenvalues etc. in GPU (cuda/opencl) . Thanks
4k views

154 views

Offline (visualisation) rendering in scientific computing

I need to simulate the movement of a large number of agents. The processes that govern the agents' movement are complex and so the entire process requires parallelisation. The output from this ...
5k views

In Comsol Multiphysics, is there a way to change parameter values when something happens in the solution?

I'm beginning to learn Comsol Multiphysics as part of a modelling course in my masters degree. Currently, we are modelling a circuit with a spark gap, which presents some problems for me. I'm using ...
3k views

What is the criteria for switching between Strassen's and Regular matrix multiplication Algorithms

Strassenâ€™s Matrix Multiplication algorithm has theoretical performance of $O( n^{log_2 7})$. Regular MM algorithm has performance of $O( n^{3})$. At certain sizes of matrices (lets call it $n*n$),...
296 views

Partitioning of mesh with 20 noded hexahedral elements [closed]

Is there a way to partition a mesh consisting of 20 noded hexahedral elements for parallel processing? I used METIS for partitioning mesh with 8 noded hexahedron elmements, which works fine but i don'...
115 views

Representing an integral as a special function

In my research I have come across the following integral f = \int_0^{2\pi} \text{d}\theta \exp\left\{\frac{3}{2}(h_1 \cos^2\theta + h_2 \sin^2\theta + 2 h_{12} \sin\theta \cos\theta)\...
428 views

Numerical method for nonlinear system of algebraic equations of special type

I have a nonlinear system of algebraic equations of special kind:  \begin{array}{rcl} x_{i}+y_{i}+z_{0,1}+c_{i,1}z_{1,1} & = & d_{i,1}, \\ x_{i}^2 + y_{i}^2 + z_{0,2} + c_{i,1} z_{...
100 views

Bounded Variation Spaces

Could someone explain me (roughly) the interest of Bounded Variation (BV) Spaces for PDEs ? Is there any numerical application of those space to real problems or is it just a theoretic way to ...
93 views

Cholesky Algorithm loop-Carried

I would like to know how to unroll loop-carried dependency inside the cholesky algorithm. What are the techniques that I should know to accomplish this work? I need to know it because I want to ...

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