Perth-Bermuda revisited again: Global adiabatic mode parabolic equation results

2011 ◽  
Vol 130 (4) ◽  
pp. 2529-2529
Author(s):  
Kevin D. Heaney ◽  
Richard L. Campbell
Keyword(s):  
Parabolic Equation ◽  
Adiabatic Mode

The adiabatic mode parabolic equation

1993 ◽  
Vol 94 (4) ◽  
pp. 2269-2278 ◽  
Author(s):  
Michael D. Collins
Keyword(s):  
Parabolic Equation ◽  
Adiabatic Mode

FREQUENCY INTERPOLATION TECHNIQUE FOR BROADBAND PARABOLIC EQUATION CALCULATIONS

1999 ◽  
Vol 07 (01) ◽  
pp. 27-38 ◽  
Author(s):  
KEVIN D. HEANEY ◽  
W. A. KUPERMAN
Keyword(s):  
Parabolic Equation ◽  
Internal Waves ◽  
Pressure Field ◽  
Equation Modeling ◽  
Complex Mode ◽  
Speed Increase ◽  
Convergence Test ◽  
Interpolation Technique ◽  
Mode Space ◽  
Adiabatic Mode

A method is developed for increasing the efficiency of broadband parabolic equation modeling. For broadband adiabatic mode calculations, the smoothness of the wavenumbers and mode functions in frequency permits interpolation across frequency. In order to permit frequency interpolation, the pressure field computed by the PE is transformed to mode space and the complex mode amplitudes are interpolated across frequency. For mildly range dependent environments a speed increase of a factor of ten can be achieved. A convergence test of propagation through internal waves indicates that a frequency interpolation across four frequencies is possible.

scholarly journals Three-dimensional adiabatic mode parabolic equation method and its applications

2016 ◽  
Vol 65 (3) ◽  
pp. 034301
Author(s):  
Qin Ji-Xing ◽  
Katsnelson Boris ◽  
Peng Zhao-Hui ◽  
Li Zheng-Lin ◽  
Zhang Ren-He ◽  
...  
Keyword(s):  
Parabolic Equation ◽  
Three Dimensional ◽  
Equation Method ◽  
Parabolic Equation Method ◽  
Adiabatic Mode

Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition

2002 ◽  
Vol 7 (1) ◽  
pp. 93-104 ◽  
Author(s):  
Mifodijus Sapagovas
Keyword(s):  
Parabolic Equation ◽  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Nonlocal Condition ◽  
Nonlocal Conditions ◽  
Numerical Algorithms ◽  
Uniqueness Of The Solution

Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of parabolic equation is related mainly to ”smallness” of functions, involved in nonlocal conditions. As a consequence the hypothesis has been made, stating the assumptions on functions in nonlocal conditions are related to numerical algorithms of solving parabolic equations, and not to the parabolic equation itself.

Sign in / Sign up

Export Citation Format

Share Document