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What is a good way to sample parameters for performing global sensitivity analysis? Some methods are defined using integrals, some are use Monte Carlo. How do these compare?...
Asked on 08/22/2021 by Chris Rackauckas
1 answerI want to solve the following sets of $n$ coupled equations. Initial values of $x_{n}(t)$ and $p_{n}(t)$ are specified. The problem is, I have an 1D lattice...
Asked on 08/22/2021
3 answerI'm working with a Matlab codebase wherein I'm attempting to solve A*c = b by approximating the (square) matrix A with its q largest principal components (basically using the rank-q...
Asked on 08/22/2021
1 answerAre there $P0$ (zero degree/constant element) nonconforming methods for approximating solutions in $H1$? More specifically, I have the equation: $$u-f - TDelta u = 0$$ Which can...
Asked on 08/22/2021
2 answerI am in a context of forecasts in astrophysics. Don't be too rude if questions seem to you stupid or naive but rather indulgent, I am just looking for better...
Asked on 08/22/2021
2 answerConsider a potentially high-dimensional (say, $N$ up to 20) integral of the form$$int_0^infty rho_1(x_1)rho_2(x_2) cdots rho_N(x_N) bigg(x_1+x_2+cdots+x_N -Kbigg)^+ , dx_1 cdots dx_N.$$where $(z)^+...
Asked on 08/22/2021 by davidhigh
3 answerI am simultaneously trying to learn computational physics methods, chaos, and C++. I think this is the right site for the question, and I apologise if not. I started working...
Asked on 08/22/2021
1 answerI am learning about multigrid methods from the textbook section 6.3 Multigrid Methods, which shows a geometric multigrid algorithm for 1-D examples in detail, including how to...
Asked on 08/22/2021
1 answerI am trying to solve the Poisson equation numerically using the FDM method in C++. But I have a little confusion with the iterative process. I understand that the number...
Asked on 08/22/2021 by Ritika Shrestha
1 answerI have a function$$f(z) = frac{1}{(z-z_1)(z-z_2)(z-z_3)(z-z_4)}$$All of ${z_1,z_2,z_3,z_4}$ are simple poles. The residuesfor this function are given as$$text{Res}(f(z),z_i)= limlimits_{zto zi}...
Asked on 08/22/2021 by Galilean
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