Computational Science

Enlightened

 Enlightened
First to answer and accepted with score of 10 or more. This badge can be awarded multiple times.
Awarded 342 times.
Why are all eigen solvers iterative?
Awarded Sep 14 at 3:10
Poorly conditioned, easily evaluated sum for unit testing
Awarded Sep 1 at 15:51
How Jacobian matrix helps optimization faster?
Awarded Aug 23 at 6:15
Why is matrix inversion unstable when svd is stable?
Awarded Aug 12 at 8:51
How to prove the 2-norm of an invertible matrix is exactly the reciprocal of its minimum singular value?
Awarded Jul 31 at 21:26
Computer Build for Scientific Computing
Awarded Jul 26 at 13:52
How to determine if a point is outside or inside a curve
Awarded Jul 19 at 16:41
4th order tensor rotation - sources to refer
Awarded Jul 12 at 15:40
cholesky factorization of block matrices
Awarded Jun 4 at 1:11
How to choose a python parallelization library?
Awarded May 24 at 14:35
Why do I get an oscillatory solution when applying the implicit trapezoidal method to the linear diffusion equation?
Awarded May 15 at 4:13
Under what circumstances is parallel scaling of the finite element method not "solved"?
Awarded Apr 21 at 17:10
What happens when I use a conjugate gradient solver with a symmetric positive semi-definite matrix?
Awarded Mar 19 at 14:08
Generate random smooth 2D closed curves
Awarded Feb 20 at 9:16
Compute all eigenvalues of a very big and very sparse adjacency matrix
Awarded Feb 16 at 8:00
Looking for Runge-Kutta 8th order in C/C++
Awarded Feb 15 at 3:55
Why is velocity Verlet better than Verlet for gravity if it has a worse order of magnitude for the error term
Awarded Feb 13 at 18:25
What is the best method of computing $a^{(k)}/k!$?
Awarded Jan 14 at 22:16
How can I numerically integrate the Kepler problem?
Awarded Dec 2, 2022 at 20:32
Euler integration of the three-body problem
Awarded Nov 7, 2022 at 15:05
What are the usual steps and checks involved in upgrading a Scientific Computing code, if there is any?
Awarded Oct 25, 2022 at 19:32
Going back in time in an initial value problem
Awarded Sep 11, 2022 at 15:55
How do compression algorithms compress data so fast?
Awarded Aug 16, 2022 at 4:09
Are stiffness and instability equivalent?
Awarded Aug 14, 2022 at 14:47
Why does this preconditioner effectively reduce the condition number of a random SPD matrix?
Awarded Aug 4, 2022 at 7:19
Why aren't Krylov subspace methods popular in the Machine Learning community compared to Gradient Descent?
Awarded Jun 26, 2022 at 8:15
Numerical computation of Lyapunov exponent
Awarded Jun 13, 2022 at 21:42
Is there an algorithm or graph theory that allows me to not need to store an intermediate matrix when calculating AT*Y1*A + BT*Y2*B?
Awarded Jun 1, 2022 at 19:40
Arbitrary Precision Optimization Libraries?
Awarded May 25, 2022 at 18:55
How does a Sparse Direct Solver know about dimensionality of a problem being solved?
Awarded May 2, 2022 at 12:00
Accuracy loss in single-precision Euclidean norm computation
Awarded Mar 9, 2022 at 14:07
Why do we solve non-linearity in hyperbolic PDEs that way?
Awarded Feb 19, 2022 at 12:46
PETSc-like library for Julia
Awarded Jan 8, 2022 at 5:25
Parallel Mersenne Twister for Monte Carlo
Awarded Dec 21, 2021 at 19:31
How can a CG solver solve a non positive definite sparse matrix
Awarded Dec 17, 2021 at 19:51
Generalization of eigendecomposition problem
Awarded Dec 3, 2021 at 10:51
What are some good strategies to test a floating point arithmetic implementation for double numbers?
Awarded Nov 29, 2021 at 14:18
When do not use preconditioners for sparse linear system of equations?
Awarded Oct 21, 2021 at 20:19
Computational method to compute both the (log) determinant and inverse of a matrix
Awarded Sep 28, 2021 at 20:10
Markov (Chain) image generators?
Awarded Sep 15, 2021 at 23:10
Why is the central difference method dispersing my solution?
Awarded Sep 15, 2021 at 8:45
Is it possible for user written algorithms to outperform libraries' built-in optimized functions?
Awarded Aug 19, 2021 at 6:19
Sensitivity of $y$ w.r.t. to $x$ in $y=f(x)$ where f is a routine
Awarded Aug 15, 2021 at 10:06
What are some good data-types for unstructured cell-centered FVM CFD code?
Awarded Aug 14, 2021 at 16:49
Why do we use hermite interpolation for finite element method in beams?
Awarded Aug 4, 2021 at 19:51
Impose the compatibility conditions for mixed finite elements method in Stokes equation
Awarded Jul 23, 2021 at 22:12
How important is learning hardware/architecture for scientific computing?
Awarded Jun 13, 2021 at 2:03
How should boundary conditions be applied when using finite-volume method?
Awarded May 20, 2021 at 12:42
How does the number of function calls in BFGS scale with the dimensionality of space?
Awarded Apr 23, 2021 at 4:25
What's the difference between grid-based and mesh-based methods for PDEs?
Awarded Apr 11, 2021 at 15:55
What are the current obstacles to reaching exascale computing?
Awarded Mar 25, 2021 at 14:36
How does gmres method iteration behave for this non-diagonalizable matrix?
Awarded Mar 11, 2021 at 18:16
Taxonomy of ILU preconditioners
Awarded Feb 3, 2021 at 14:00
Is it possible to dynamically resize a sparse matrix in the Petsc library?
Awarded Dec 26, 2020 at 14:46
Is there a Moore's law for floating-point precision, and what would it imply?
Awarded Nov 16, 2020 at 6:55
Implementation of LP with separation oracle?
Awarded Oct 26, 2020 at 12:07
How can I avoid catastrophic cancellation?
Awarded Sep 22, 2020 at 22:47
Rule of thumb for sparse vs dense matrix storage
Awarded Jul 30, 2020 at 18:51
How do you debug numerical code, what could be source of this oscillatory error?
Awarded Jul 29, 2020 at 17:40
When and when not to use automatic differentiation
Awarded Jul 27, 2020 at 4:32
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