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math.NA2023
Computational Modeling of Coupled Interactions of Fluid Membranes with Embedded Filaments
Basant Lal Sharma, Luigi E. Perotti, Sanjay Dharmavaram
In this work, we present a computational formulation based on continuum mechanics to study the interaction of fluid membranes embedded with semiflexible filaments. This is motivate…
math-ph2023
Phase recovery from phaseless scattering data for discrete Schrödinger operators
Roman Novikov, Basant Lal Sharma
We consider scattering for the discrete Schrödinger operator on the square lattice , , with compactly supported potential. We give formulas for finding the p…
math.CA2023
Generalizing Parametrization Invariance in the Calculus of Variations
Sanjay Dharmavaram, Basant Lal Sharma
We revisit the notion of parametrization invariance while introducing certain weakened notions of invariance in the calculus of variations. In this work, we employ a straightforwar…