Recent content by zhidayat

  1. Z

    Analysis of spatial discretization of a PDE

    Thank you pmsrw3. Browsing the notes, they has something to do with Fourier series/transform I guess. I will read it more careful later.
  2. Z

    Analysis of spatial discretization of a PDE

    Interesting ..., I get your point. Do you know references that have presented/discussed what you have told me above? Could you tell me please?
  3. Z

    Analysis of spatial discretization of a PDE

    Thanks for some ideas. I am thinking of something similar as the Shannon-Nyquist theorem for which gives condition for minimum sampling period with respect to information not stability. But perhaps the method is non exist, I do not know.
  4. Z

    Analysis of spatial discretization of a PDE

    Hi everybody, I hope I am asking in the right forum. Let describe the problem as follows: I have a 1D heat equation. To solve it, I use finite-difference method to discretize the PDE and obtain a set of N ODEs. The larger N gives the better solution, i.e., the closer the solution to the...
  5. Z

    Why a PDE is an infinite dimensional system

    the context is about control of distributed parameter systems which are modeled as PDEs. in papers i read (and try to understand), authors of the papers wrote the PDE and transform it into a state space representation using linear operator in Hilbert space and did the analysis using semigroups...
  6. Z

    Why a PDE is an infinite dimensional system

    Hi, I hope I posted in the right group. I read some papers about infinite dimensional systems and gave PDEs as examples of infinite dimensional systems. So far, I still cannot get why is that so. Could everybody here help me giving relation between a PDE and an infinite dimensional...
Back
Top