Efficient Numerical Implementation of Discrete Transparent Boundary Conditions for Parabolic Equations

@inproceedings{EhrhardtEfficientNI,
  title={Efficient Numerical Implementation of Discrete Transparent Boundary Conditions for Parabolic Equations},
  author={Matthias Ehrhardt}
}
This paper is concerned with transparent boundary conditions (TBCs) for wide angle parabolic equations (WAPEs) in the application to underwater acoustics (assuming cylindrical symmetry). These TBCs can be derived for a bottom region in which the squared refractive index is constant or varies linearly with depth. In a previous work a discrete TBC of convolution type was derived from the fully discretized whole–space problem that is reflection–free and yields an unconditionally stable scheme… CONTINUE READING