4 papers
Convergence analysis of Left-Right splitting surface scattering method
Paul E Parbone, Mark Spivack, Orsola Rath Spivack
We study the convergence of the Left-Right splitting method (equivalent in key respects to the Method of Multiple Ordered Interactions and Forward-Backward method) for wave scatter…
Remarks on Derivations on Maximal Triangular Operator Algebras
Mark Spivack
This note concerns bounded derivations on maximal triangular operator algebras on a Hilbert space. Given any bounded derivation on a maximal triangular algebra whose invariant…
Propagation in rough waveguides: Forward and inverse problems
Mark Spivack, Orsola Rath Spivack
We discuss here the direct and inverse problems for wave propagation in a waveguide with rough internal surface and arbitrary mean shape. The high degree of multiple scattering ins…
Surface profile recovery from electromagnetic field with physics--informed neural networks
Yuxuan Chen, Ce Wang, Yuan Hui +1
Physics--informed neural networks (PINN) have shown their potential in solving both direct and inverse problems of partial differential equations. In this paper, we introduce a PIN…