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math.NA2026
A Domain Derivative for Electromagnetic Scattering by Perfect Conductors in the Time Domain
Marvin Knöller
A domain derivative for time-dependent electromagnetic scattering from perfect conductors is established. By proceeding through the Laplace domain, frequency-dependent bounds on so…
math.NA2026
Domain derivative and shape reconstruction for an inverse backscattering problem for the wave equation
Roland Griesmaier, Marvin Knöller, Eliane Kummer
We consider an inverse backscattering problem for time-dependent acoustic waves with a compactly supported penetrable scattering obstacle in unbounded three-dimensional free space.…
math.NA2017
Randomized exponential integrators for modulated nonlinear Schrödinger equations
Martina Hofmanová, Marvin Knöller, Katharina Schratz
We consider the nonlinear Schrödinger equation with dispersion modulated by a (formal) derivative of a time-dependent function with fractional Sobolev regularity of class …