TY - GEN A1 - Ehrhardt, Matthias A1 - Zisowsky, Andrea T1 - Nonlocal Boundary Conditions for Higher-Order Parabolic Equations N2 - This work deals with the efficient numerical solution of the two-dimensional one-way Helmholtz equation posed on an unbounded domain. In this case one has to introduce artificial boundary conditions to confine the computational domain. Here we construct with the Z-transformation so-called discrete transparent boundary conditions for higher-order parabolic equations schemes. These methods are Pade ``Parabolic'' approximations of the one-way Helmholtz equation and frequently used in integrated optics and (underwater) acoustics. KW - split-step method KW - Pade approximation KW - finite difference method KW - one-way Helmholtz equation KW - discrete transparent boundary conditions Y1 - 2006 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/328 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-3288 ER -