loading page

CMMSE: A technique for generating adapted discretizations to solve partial differential equations with the generalized finite difference method
  • Augusto César Ferreira,
  • Miguel Ureña,
Augusto César Ferreira
Universidad de Salamanca

Corresponding Author:[email protected]

Author Profile
Miguel Ureña
Statistics Spain
Author Profile
Universidad de Salamanca
Author Profile


The generalized finite difference method is a meshless method for solving partial differential equations that allows arbitrary discretizations of points. Typically, the discretizations have the same density of points in the domain. We propose a technique to get adapted discretizations for the solution of partial differential equations. This strategy allows using a smaller number of points and a lower computational cost to achieve the same accuracy that would be obtained with a regular discretization.
14 Nov 2021Submitted to Mathematical Methods in the Applied Sciences
16 Nov 2021Submission Checks Completed
16 Nov 2021Assigned to Editor
30 Nov 2021Reviewer(s) Assigned
27 Dec 2021Review(s) Completed, Editorial Evaluation Pending
12 Jan 2022Editorial Decision: Revise Major
25 Feb 20221st Revision Received
26 Feb 2022Assigned to Editor
26 Feb 2022Submission Checks Completed
14 Mar 2022Reviewer(s) Assigned
12 Apr 2022Review(s) Completed, Editorial Evaluation Pending
18 Apr 2022Editorial Decision: Revise Minor
01 May 20222nd Revision Received
02 May 2022Assigned to Editor
02 May 2022Submission Checks Completed
04 May 2022Review(s) Completed, Editorial Evaluation Pending
04 May 2022Editorial Decision: Accept