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Computational Science : Recent Questions and Answers (Page 26)

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

Efficiently computing $e^{tX}$ for many different values of $t$

Given an anti-Hermitian and sparse matrix $X$, I am using Python (NumPy and SciPy) to compute the matrix exponential $f(t) := e^{tX}$ for many values of ...

Asked on 03/15/2021 by Solarflare0

1 answer

Different values of Gaussian Integration in Pracma library in R

I want to construct a gauss integration for the weight function: $$w(x) = x^{1/2}$$ $in(0,1)$ of the form:$$int_{0}^{1}x^{1/2}f(x)dx = w_{1}f(x_{1})+w_{2}f(x_{2})$$begin{align*} ...

Asked on 03/12/2021

0 answer

Spline interpolation for vector-valued data in 3D space

I have output from a 3D linear elasticity finite element simulation which uses linear tetrahedral elements, such that the displacement is continuous over the nodes but the gradient is not...

Asked on 03/11/2021 by Charlie S

0 answer

Compressed Sensing - CoSaMP algorithm

I'm trying to apply the compressed sensing theory (CoSaMP algorithm) to the DOA estimation in FMCW ULA (made of 48 elements). In the dechirped signals processing, I use a first...

Asked on 03/06/2021

0 answer

(2) Trying to model a simple second order ODE: Why time-step smaller is not better

This question is related with this other question:Trying to model a simple second order ODE. On this other question, I get some useful comments on why the simulations...

Asked on 03/05/2021 by Quiet_waters

1 answer

An optimization method for bounding the eigenvalues of a unknown non symmetric matrix

Given a positive objective function $f$ that acts on a real-valued matrix $A$, I am interested in the following problem $$underset{A in mathbb{R}^{n times n}}{text{minimize}} quad f(A)...

Asked on 03/04/2021 by Kawhi

1 answer

Time complexity of derivation, gradient,differential, jacobian matrix

what is the time complexity of gradient $nabla_{f}$ using the $mathcal O$-notation?what is the time complexity of jacobian matrix using the $mathcal O$-notation?who knows some...

Asked on 03/04/2021 by X.Q. Li

0 answer

Are spatial boundary conditions required for PDEs discretized with Method of Lines?

As far as I understand, you need to define boundary conditions in time and space to select a unique solution to a PDE and make it solvable. However, in ODEs...

Asked on 03/03/2021

1 answer

Maintain unitary time evolution for a nonlinear ODE

I want to solve a nonlinear ODE of matrix $A(t)$$$mathrm{i}dot A = A(t)M(t),:mathrm{with}: M(t)=A^dagger(t)H(t)A(t)$$ where $H(t)$ and hence $M(t)$ are Hermitian. Therefore, I presume the...

Asked on 03/03/2021

1 answer

Efficient root finding algorithm for monotonic function

This is my first time asking a question here, so I may not be asking this in the right place. I am trying to find the roots of a monotonic...

Asked on 03/03/2021 by jerjorg

1 answer

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