We extend recently developed mesh-free Lagrangian methods for numerical
magnetohydrodynamics (MHD) to arbitrary anisotropic diffusion equations, including …

We investigate a class of efficient numerical algorithms for many partial differential equations
(PDEs) in image analysis. They are applicable to parabolic or elliptic PDEs that have …

Explicit numerical methods for the solution of a system of stiff differential equations suffer
from a time step size that approaches zero in order to satisfy stability conditions. Implicit …

Super-time-stepping denotes a class of special strategies of choosing nonuniform time steps
in finite-difference solutions of partial differential equations by conditionally stable explicit …

We present a cost and stability region comparison of super‐time‐stepping and dyadic
extended time schemes used to overcome the CFL stability condition limitation on time …

The decomposition theorem named after Lebesgue asserts that certain set functions have
canonical representations as sums of particular set functions called the absolutely …