Finite Difference Methods Optimal WeightsWhat is the difference between Finite Difference Methods, Finite Element Methods and Finite Volume Methods for solving PDEs?Finite difference : relationship involving gammaFinite difference for nonlinear PDEReview paper/book on Finite Difference Methods for PDEsResource request for Finite Difference Methods .Existence of Finite Difference methods for a PDE with solutionMixed derivative finite differenceFinite difference stability problemFinite difference for non-uniform unstructured mesh/stencilInconsistent finite difference scheme

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Finite Difference Methods Optimal Weights


What is the difference between Finite Difference Methods, Finite Element Methods and Finite Volume Methods for solving PDEs?Finite difference : relationship involving gammaFinite difference for nonlinear PDEReview paper/book on Finite Difference Methods for PDEsResource request for Finite Difference Methods .Existence of Finite Difference methods for a PDE with solutionMixed derivative finite differenceFinite difference stability problemFinite difference for non-uniform unstructured mesh/stencilInconsistent finite difference scheme













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I am looking at a paper by Ronald Smith 1999, (attached). The optimal weights he claims, obtains exact results for the Area, Centroid, Variance, Skewness and Kurtosis of solutions to the unforced advection-diffusion equation. Subsequently he arrives at the different parameters of the FD grid using some kind of moment matching which I do not understand how. I would appreciate some leads or directions to understanding this method.



enter image description here










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$endgroup$
















    0












    $begingroup$


    I am looking at a paper by Ronald Smith 1999, (attached). The optimal weights he claims, obtains exact results for the Area, Centroid, Variance, Skewness and Kurtosis of solutions to the unforced advection-diffusion equation. Subsequently he arrives at the different parameters of the FD grid using some kind of moment matching which I do not understand how. I would appreciate some leads or directions to understanding this method.



    enter image description here










    share|cite|improve this question











    $endgroup$














      0












      0








      0


      1



      $begingroup$


      I am looking at a paper by Ronald Smith 1999, (attached). The optimal weights he claims, obtains exact results for the Area, Centroid, Variance, Skewness and Kurtosis of solutions to the unforced advection-diffusion equation. Subsequently he arrives at the different parameters of the FD grid using some kind of moment matching which I do not understand how. I would appreciate some leads or directions to understanding this method.



      enter image description here










      share|cite|improve this question











      $endgroup$




      I am looking at a paper by Ronald Smith 1999, (attached). The optimal weights he claims, obtains exact results for the Area, Centroid, Variance, Skewness and Kurtosis of solutions to the unforced advection-diffusion equation. Subsequently he arrives at the different parameters of the FD grid using some kind of moment matching which I do not understand how. I would appreciate some leads or directions to understanding this method.



      enter image description here







      pde finite-differences finite-difference-methods






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Mar 28 at 16:41







      Ramesh Kadambi

















      asked Mar 28 at 15:53









      Ramesh KadambiRamesh Kadambi

      20417




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