Some questions in the theory of one-dimensional linear differential operators of the second order. I

1973 ◽  
pp. 1-104 ◽  
Author(s):  
V. A. Marčenko
Keyword(s):  
Differential Operators ◽  
Second Order ◽  
One Dimensional ◽  
Linear Differential Operators ◽  
Linear Differential

Second-Order Radiation Condition of Scattering Wave and Its Application

1990 ◽  
Vol 112 (3) ◽  
pp. 177-180
Author(s):  
J. Li ◽  
H. Huang
Keyword(s):  
Differential Operators ◽  
Three Dimensional ◽  
Radiation Condition ◽  
Second Order ◽  
Wave Forces ◽  
Interior Region ◽  
Linear Differential Operators ◽  
Scattering Wave ◽  
Linear Differential ◽  
Radiation Conditions

The first and second-order radiation conditions for scattering waves in two and three-dimensional problems have been derived by virtue of a sequence of linear differential operators. The wave forces on a large circular cylinder are computed by using finite element methods with first and second-order radiation conditions and the Sommerfeld condition, respectively. The results show that an improvement in accuracy is achieved by employing the second-order radiation condition. The interior region in which finite elements are employed can be restricted to a much smaller one, compared with that using the Sommerfeld condition and the computing efforts and required storage in the computer are reduced.

Linear differential operators and operator matrices of the second order

2017 ◽  
Vol 53 (1) ◽  
pp. 8-17 ◽  
Author(s):  
A. G. Baskakov ◽  
L. Yu. Kabantsova ◽  
I. D. Kostrub ◽  
T. I. Smagina
Keyword(s):  
Differential Operators ◽  
Second Order ◽  
Operator Matrices ◽  
Linear Differential Operators ◽  
Linear Differential
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