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Computational Science : Recent Questions and Answers (Page 35)

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

Best choice of solver for a large sparse symmetric (but not positive definite) system

I am presently working on solving very large symmetric (but not positive definite) systems, generated by some certain algorithms. These matrices have a nice block sparsity which can be used...

Asked on 12/22/2020 by Soumyadipta Sarkar

5 answer

Problems with manufactured solutions for 1D inviscid burgers' equation

I'm having an issue with the easiest example of a nonlinear 1D PDE, the (inviscid) burgers' equation: $u_t + uu_x = 0,~~(1)$ which can be rewritten as some convection...

Asked on 12/21/2020 by slvnklvr

1 answer

Runtime of Gaussian elimination/row reduction on an $m times n$ matrix

The runtime of Gaussian elimination on an $n times n$ matrix is $O(n^3)$. What is the runtime on an $m times n$ matrix? I...

Asked on 12/20/2020

1 answer

Access PETSc data in totalview?

Is it possible to view the data stored in the various PETSc data types from within totalview? Ordinarily, PETSc types are integers which act as pointers to the actual data...

Asked on 12/18/2020 by Mr.Weathers

1 answer

Simple particle-in-cell examples

I am studying about the 1D EM-PIC (Electro Magnetics using particle-in-cell) simulation. I want to have a simultaneous time-integration of the electric/magnetic fields plus the motion of free charges due...

Asked on 12/18/2020 by asdgaaa1123

1 answer

How to document math formulations in scientific computing codes?

I am writing the code relate to math. There is some complicated math formulation in the project. Directly writing the calculation code leads to hard understanding; thus I want to...

Asked on 12/18/2020

1 answer

Singularity in gradient caused by Dirichlet boundary condition

I am looking for a mathematical explanation for the singularity caused by a Dirichlet boundary condition partially imposed at a boundary. For instance$$nabla^2u=0 ~ text{in}~Omega$$where...

Asked on 12/17/2020 by balborian

1 answer

How would one discretize the dynamical equations for Kerr spacetime?

Using the Hamiltonian for a test particle in Kerr spacetime, we arrive at the following equations for generalized position and momenta (in natural units, $G = c = M...

Asked on 12/16/2020 by P_0

0 answer

Scaling tensor approximation by symmetric tensor decomposition with SciPy's L-BFGS-B

I am trying to approximate a symmetric tensor of which the values are in the range of [1e-7,1e-4], by a symmetric tensor decomposition of lower rank. For this I am...

Asked on 12/13/2020

0 answer

Trouble Making 3rd-Order Sympletic Integrator for Planitary N-Body Problem (A Hamiltonian System)

I am doing a solar-system simulation. I am using Ruth's 3rd order sympletic integrator to avoid the problem of Energy Drift (which I had with RK4), but the the...

Asked on 12/11/2020 by maxbear123

1 answer

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