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math.NA2019★ 1 cited
A simple MATLAB program to compute differentiation matrices for arbitrary meshes via Lagrangian interpolation
Miguel Pérez-Saborid
A MATLAB program for computing differentiation matrices for arbitrary one-dimensional meshes is presented in this manuscript. The differentiation matrices for a mesh of N arbitrari…
math.NA2018
PDEs on deformable domains: Boundary Arbitrary Lagrangian-Eulerian (BALE) and Deformable Boundary Perturbation (DBP) methods
Javier Rivero-Rodriguez, Miguel Perez-Saborid, Benoit Scheid
Many physical problems can be modelled by partial differential equations on unknown domains. Several examples can easily be found in the dynamics of free interfaces in fluid dynami…