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math.NA2026
Generalised projective integration scheme in equation-free multiscale modelling
Tanay Kumar Karmakar, Durga Charan Dalal
When the spectrum of a system varies significantly over time, fixed choices of macro-, meso-, and micro-time steps, as well as burst lengths, become inadequate, necessitating adapt…
math.NA2024
A Generalised Curvilinear Coordinate system-based Patch Dynamics Scheme in Equation-free Multiscale Modelling
Tanay Kumar Karmakar, Durga Charan Dalal
The patch dynamics scheme in equation-free multiscale modelling has the potential to efficiently predict the macroscopic behaviours by simulating the microscale problem in a fracti…
math.NA2024
Generalized Patch Dynamics Scheme in Equation-free Multiscale Modelling
T. K. Karmakar, D. C. Dalal
There is a class of problems that exhibit smooth behavior on macroscopic scales, where only a microscopic evolution law is known. Patch dynamics scheme of `equation-free multiscale…