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i need maple cod of collocation method for this equation (1+β ·θ (x)) d^2θ (x)/ dx^2 −M2(θ (x))^n+1+β ( dθ (x)/ dx )^2 = 0 [on hold]

i need maple cod of collocation method for this equation: (1+β ·θ (x))*dθ^2 (x)/ dx^2 −M^2(θ (x))^n+1+β (dθ (x)/ dx )^2 = 0 for boundry condition θ ′(0) = 0; θ (1) = 1 and for point: x1=1/5,...
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Motivation behind Collocation Method

In previous question "Motivation behind Galerkin method", Paul gives a good and easy-understanding explanation indicating that the Galerkin method is a kind of projection method. Can anyone explain ...
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Second and Higher Order Order Corrector in Spectral Deferred Correction

I am trying to work out a second order or higher order correction for the method of Spectral deferred Correction (SDC). Specifically using as a corrector a second order or third order multi-step. In ...
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Spectral Methods in time

I was reading up on Spectral Methods for PDEs. In all the descriptions I read, while the position component is approximated via a Fourier series or other methods, the time component is still ...
Typically Chebyshev interpolation from $-1$ to $1$ with angle from $0$ to $\pi$: $\xi_j=\cos \left ({\pi j \over N}\right )$ $x_j=(1+\xi_j) * {L \over 2}$ $w$: $w_0=\pi/(2N)$ $w_{1,...,N-1}=\pi/(N)... 1answer 89 views Sparse matrices origins I am using the sparse matrices provided by the University of Florida Sparse Matrix Collection and most matrices are accompanied with little description of the problem or discipline from which the ... 0answers 67 views Stochastic Collocation for time evolving ODE For an Stochastic Differential Equation, e.g., $$\frac{du}{dt} = \alpha*\sin(u*t)$$ where$\alpha$is normally distributed with nonzero mean, I am trying to use a stochastic collocation approach ... 2answers 419 views Orthonormalized Bernstein polynomials using Gram-Schmidt I was wondering, before trying to do that myself, has anyone attempted to do orthonormalization of Bernstein polynomials using Gram-Schmidt? I discussed this with several people and have been told ... 2answers 283 views Numerical solution of fractional integro-diffrential equ. using collocation method? problem comes from "Numerical solution of fractional integro-differential , equations by collocation method , E.A. Rawashdeh, Department of Mathematics, Yarmouk University, Irbid 21110, Jordan"$D^...
I'm having some troubles implementing a collocation method to solve a stochastic partial differential equation of the form: $\nabla (a(x,w)\nabla u(x,w))=f(x,w)$ in $D$, $u=g$ in $\partial D$ where \$...