Matches in SemOpenAlex for { <https://semopenalex.org/work/W1984204197> ?p ?o ?g. }
- W1984204197 endingPage "637" @default.
- W1984204197 startingPage "527" @default.
- W1984204197 abstract "In the 20th century, an important contribution to the modeling of wave propagation prediction is the Parabolic Equation (PE) approximation method. This did not happen until the last quarter of the century. During that time period, a number of contributions were made in the first 15 years, then, contributions were made continuously until the end of the 20th century. Contributions to the PE method are still going on. During the second half of the 1970 when the PE was introduced to the field of underwater acoustics, its main purpose was to predict long-range, low-frequency acoustic propagations under range-dependent environments in fluid medium; thus, there were a number of limitations. As time progresses these limitations were somewhat relaxed a great deal gradually due to many useful contributions. Up to this date, all contributions are aimed at the enhancement of the capability of the PE method. A few review papers of the PE have been presented in open archived literatures. This paper gives a complete survey of what has been done from the start until the end of 1999. Contributions up to the year 1994 were already reported in some detail in archived literatures; those contributions will be outlined. Surveying the contributions from 1995 to 1999 is a new addition to the already published survey papers. In recent years, the PE method has been used for many real applications; some results are included in this paper. A discussion will be given at the end of this paper on looking ahead how much more the PE can do in order to stimulate future research, development, and applications." @default.
- W1984204197 created "2016-06-24" @default.
- W1984204197 creator A5021740029 @default.
- W1984204197 date "2000-12-01" @default.
- W1984204197 modified "2023-09-25" @default.
- W1984204197 title "Parabolic Equation Development in the Twentieth Century" @default.
- W1984204197 cites W1964318159 @default.
- W1984204197 cites W1965458781 @default.
- W1984204197 cites W1965612036 @default.
- W1984204197 cites W1966524379 @default.
- W1984204197 cites W1966856301 @default.
- W1984204197 cites W1969736727 @default.
- W1984204197 cites W1970560648 @default.
- W1984204197 cites W1970666188 @default.
- W1984204197 cites W1972819321 @default.
- W1984204197 cites W1973620086 @default.
- W1984204197 cites W1973706768 @default.
- W1984204197 cites W1974022722 @default.
- W1984204197 cites W1975043381 @default.
- W1984204197 cites W1976800238 @default.
- W1984204197 cites W1976833809 @default.
- W1984204197 cites W1978004381 @default.
- W1984204197 cites W1978427708 @default.
- W1984204197 cites W1978606125 @default.
- W1984204197 cites W1979080283 @default.
- W1984204197 cites W1982764390 @default.
- W1984204197 cites W1983288891 @default.
- W1984204197 cites W1984533449 @default.
- W1984204197 cites W1984946324 @default.
- W1984204197 cites W1985231522 @default.
- W1984204197 cites W1985941412 @default.
- W1984204197 cites W1988390739 @default.
- W1984204197 cites W1988536517 @default.
- W1984204197 cites W1989041934 @default.
- W1984204197 cites W1992575994 @default.
- W1984204197 cites W1992708962 @default.
- W1984204197 cites W1993599418 @default.
- W1984204197 cites W1994797355 @default.
- W1984204197 cites W1994837181 @default.
- W1984204197 cites W1995476436 @default.
- W1984204197 cites W1996531335 @default.
- W1984204197 cites W1996932647 @default.
- W1984204197 cites W1997407071 @default.
- W1984204197 cites W1998422613 @default.
- W1984204197 cites W2001535505 @default.
- W1984204197 cites W2001819970 @default.
- W1984204197 cites W2001850083 @default.
- W1984204197 cites W2004104617 @default.
- W1984204197 cites W2008860259 @default.
- W1984204197 cites W2009333589 @default.
- W1984204197 cites W2010040535 @default.
- W1984204197 cites W2010119323 @default.
- W1984204197 cites W2010309086 @default.
- W1984204197 cites W2010414883 @default.
- W1984204197 cites W2011433832 @default.
- W1984204197 cites W2011764559 @default.
- W1984204197 cites W2012737663 @default.
- W1984204197 cites W2013538411 @default.
- W1984204197 cites W2014033032 @default.
- W1984204197 cites W2015961792 @default.
- W1984204197 cites W2016894978 @default.
- W1984204197 cites W2019252020 @default.
- W1984204197 cites W2020328780 @default.
- W1984204197 cites W2021031264 @default.
- W1984204197 cites W2021205027 @default.
- W1984204197 cites W2022549867 @default.
- W1984204197 cites W2023517206 @default.
- W1984204197 cites W2024087436 @default.
- W1984204197 cites W2024752294 @default.
- W1984204197 cites W2024829582 @default.
- W1984204197 cites W2025928533 @default.
- W1984204197 cites W2026238457 @default.
- W1984204197 cites W2027708162 @default.
- W1984204197 cites W2028025385 @default.
- W1984204197 cites W2028186988 @default.
- W1984204197 cites W2028537717 @default.
- W1984204197 cites W2028649221 @default.
- W1984204197 cites W2030828435 @default.
- W1984204197 cites W2031085520 @default.
- W1984204197 cites W2033173252 @default.
- W1984204197 cites W2035634343 @default.
- W1984204197 cites W2035774608 @default.
- W1984204197 cites W2036471555 @default.
- W1984204197 cites W2036525001 @default.
- W1984204197 cites W2038188825 @default.
- W1984204197 cites W2039209626 @default.
- W1984204197 cites W2039374955 @default.
- W1984204197 cites W2039520217 @default.
- W1984204197 cites W2040418412 @default.
- W1984204197 cites W2040435866 @default.
- W1984204197 cites W2040931465 @default.
- W1984204197 cites W2041533968 @default.
- W1984204197 cites W2041738043 @default.
- W1984204197 cites W2043038461 @default.
- W1984204197 cites W2043474170 @default.
- W1984204197 cites W2044944530 @default.
- W1984204197 cites W2046380531 @default.
- W1984204197 cites W2048734193 @default.