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https://www.jstor.org/stable/pdf/2157482.pdf, here I have a problem in last equation of (2.6) in section (2.1). When they are considering error equation on the interface $Gamma$ they get...
Asked on 10/23/2021
1 answerI am trapped here for a long time. I wrote a toy Matlab FEM code. I want to run the follow simulation.MeshSuppose we have a cube, and we divide it...
Asked on 10/23/2021
2 answerI am trying to solve an equation of the following type$$partial_zE(z)=-c_0J$$with $$J=c_1beta E^3(z)$$using the boost::odeint-framework and a fixed time stepper, with $c_0$, $c_1$...
Asked on 10/23/2021
0 answerI'm writing a solver for Boltzmann Equations (BE) including a force term in rarefied plasma, for my PhD. The aim is to see if an instability occurs inside an electric...
Asked on 10/23/2021
0 answerI have a question about the Markov Chain Hamiltonian Monte Carlo (MCHMC).Hamiltonian Monte Carlo is known as Hybrid Monte Carlo too. I'll describe the steps of the algorithm.We have...
Asked on 10/23/2021
1 answerI have a large number of parallel processes and a large integer $n$, and want to randomly partition the integers $[0,n)$ among the processes with only $O(1)$...
Asked on 10/23/2021
1 answerI would like to use Runge-Kutta 8th order method (89) in a celestial mechanics / astrodynamics application, written in C++, using a Windows machine. Therefore I wonder if anyone knows...
Asked on 10/23/2021
4 answerSome older books I've seen say that the minimum number of stages of an explicit Runge-Kutta method of a specified order is unknown for orders $geq 9$. Is this still...
Asked on 10/23/2021
2 answerLet $d_1=1,d_2=2,a_{11}=frac{5}{13},a_{12}=frac{22}3,a_{21}=-2,a_{22}=frac{6}7,tau=frac{5}7$, $psi(t,x)=cos^42x,phi(t,x)=frac{3}{13}x^4sin^2 3x$, $Omega=[0,200]$ How to solve: $$left{begin{array}{lc} dfrac{partial u(t,x)}{partial t}=d_1triangle u(t,x)+u(t,x)left(r_1-a_{11}u(t-tau,x)-a_{12}v(t,x)right),& t>0,xinOmega \dfrac{partial v(t,x)}{partial t}=d_2triangle v(t,x)+v(t,x)left(-r_2+a_{21}u(t,x)-a_{22}v(t,x)right),& t>0,xinOmega\dfrac{partial u}{partial n}=dfrac{partial v}{partial n}=0,quad tge0,xinpartialOmega quad(text{Neumann conditions})\...
Asked on 10/23/2021
1 answerI would like to solve a system of second-order differential equations to describe the dynamics of a system of particles.Two Newton-like forces are responsible for the motion of each...
Asked on 10/23/2021 by user25195
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