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Computational Science

Enlightened

 Enlightened
First to answer and accepted with score of 10 or more. This badge can be awarded multiple times.
Awarded 357 times.
Computing $\frac{x - y}{x - z}$ when $x,y,z$ are close to each other
Awarded 5 hours ago
Interpolating a mathematical function using a Hermite Cubic Finite Element Space
Awarded Jul 11 at 22:23
Are penalty functions still "necessary"?
Awarded May 27 at 14:57
Poor test functions for optimization
Awarded Mar 25 at 11:55
compute accurate derivatives using FFT
Awarded Feb 23 at 7:55
Convex Optimization problem with sum of absolute value constraints
Awarded Jan 19 at 21:09
Regarding automatic differentiation, is source-code-transformation (STC) more efficient than operator-overloading (OO)?
Awarded Dec 18, 2023 at 12:01
Why is it that SVD routines on nearly square matrices run significantly faster than if the matrix was highly non square?
Awarded Nov 10, 2023 at 8:55
What is the scaling or order of molecular dynamics (MD) simulations?
Awarded Nov 7, 2023 at 22:15
Computing numeric derivative via FFT - SciPy
Awarded Nov 5, 2023 at 6:56
More stable algorithm to calculate `sqrt(a^2 + b^2) - abs(a)` in MatLab
Awarded Nov 1, 2023 at 13:48
What is the state of the art algorithm for diagonalizing real symmetric matrices?
Awarded Oct 22, 2023 at 22:37
Is it possible to solve nonlinear PDEs without using Newton-Raphson iteration?
Awarded Oct 19, 2023 at 13:12
Linear interpolation in Fortran
Awarded Sep 29, 2023 at 23:55
What is the fastest way to compute all eigenvalues of a very big and sparse adjacency matrix in python?
Awarded Sep 23, 2023 at 0:33
Why are all eigen solvers iterative?
Awarded Sep 14, 2023 at 3:10
Poorly conditioned, easily evaluated sum for unit testing
Awarded Sep 1, 2023 at 15:51
How Jacobian matrix helps optimization faster?
Awarded Aug 23, 2023 at 6:15
Why is matrix inversion unstable when svd is stable?
Awarded Aug 12, 2023 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, 2023 at 21:26
Computer Build for Scientific Computing
Awarded Jul 26, 2023 at 13:52
How to determine if a point is outside or inside a curve
Awarded Jul 19, 2023 at 16:41
4th order tensor rotation - sources to refer
Awarded Jul 12, 2023 at 15:40
cholesky factorization of block matrices
Awarded Jun 4, 2023 at 1:11
How to choose a python parallelization library?
Awarded May 24, 2023 at 14:35
Why do I get an oscillatory solution when applying the implicit trapezoidal method to the linear diffusion equation?
Awarded May 15, 2023 at 4:13
Under what circumstances is parallel scaling of the finite element method not "solved"?
Awarded Apr 21, 2023 at 17:10
What happens when I use a conjugate gradient solver with a symmetric positive semi-definite matrix?
Awarded Mar 19, 2023 at 14:08
Generate random smooth 2D closed curves
Awarded Feb 20, 2023 at 9:16
Compute all eigenvalues of a very big and very sparse adjacency matrix
Awarded Feb 16, 2023 at 8:00
Looking for Runge-Kutta 8th order in C/C++
Awarded Feb 15, 2023 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, 2023 at 18:25
What is the best method of computing $a^{(k)}/k!$?
Awarded Jan 14, 2023 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
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