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4
votes
2answers
111 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 ...
3
votes
1answer
63 views

Chebyshev spectral differentiation via FFT

I am using the Chebyshev spectral differentiation technique that is described concisely under "details" here. The idea is to take the initial data $v_0,v_1\,...,v_N$ and store it in union with itself ...
3
votes
0answers
47 views

Stochastic Galerkin Projection Approach for using Generalized Polynomial Chaos Expansion (GPCE) in solving PDE

I am not sure if this is very general question but I want to know Is there any way that I can define the Test and trial function in the way that I want and dont use the default functions. so if I want ...
0
votes
1answer
16 views

a question about kernelized locality preserving projections

kernel LPP is of form: $$\min_{\alpha} \ \alpha^{T}KLK\alpha \\ s.t. \ \alpha^{T}KDK\alpha = 1$$ and it eventually results in solving generalized eigenvalue problem below: $$KLK \alpha= \lambda KDK ...