A three-dimensional parabolic equation model of sound propagation using higher-order operator splitting and Padé approximants

YT Lin, JM Collis, TF Duda - The Journal of the Acoustical Society of …, 2012 - pubs.aip.org
An alternating direction implicit (ADI) three-dimensional fluid parabolic equation solution
method with enhanced accuracy is presented. The method uses a square-root Helmholtz …

Leading-order cross term correction of three-dimensional parabolic equation models

F Sturm - The Journal of the Acoustical Society of America, 2016 - pubs.aip.org
The issue of handling a leading-order cross-multiplied term in three-dimensional (3D)
parabolic equation (PE) based models is addressed. In particular, numerical results …

Elastic parabolic equation solutions for underwater acoustic problems using seismic sources

SD Frank, RI Odom, JM Collis - The Journal of the Acoustical Society of …, 2013 - pubs.aip.org
Several problems of current interest involve elastic bottom range-dependent ocean
environments with buried or earthquake-type sources, specifically oceanic T-wave …

Split-step Padé solver for three-dimensional Cartesian acoustic parabolic equation in stair-step representation of ocean environment

K Lee, W Seong, Y Na - The Journal of the Acoustical Society of …, 2019 - pubs.aip.org
In this study, the three-dimensional Cartesian acoustic parabolic equation is fully solved in
the stair-step representation of an ocean environment based on the split-step Padé …

Suggestion for a splitting technique of the square-root operator of three dimensional acoustic parabolic equation based on two variable rational approximant with a …

K Lee - The Journal of the Acoustical Society of Korea, 2017 - koreascience.kr
In this study, novel approximate form of the square-root operator of three dimensional
acoustic Parabolic Equation (3D PE) is proposed using a rational approximant for two …

[PDF][PDF] 인수분해된분모를갖는두변수유리함수근사에기반한3 차원음향포물선방정식제곱근연산자의분할기법제안

이근화 - 한국음향학회지제, 2017 - scholar.archive.org
본 연구에서는 두 변수 유리함수 근사법에 기반한 3 차원 음향 포물선 방정식의 제곱근
연산자의 새로운 근사식을 제안한다. 이 근사식은 기존의 제곱근 연산자에 대한 근사 연구와 …