scholarly journals The reduction method for operators in Hilbert space

1974 ◽  
pp. 194-200
Author(s):  
A. S. Markus
Keyword(s):  
Hilbert Space ◽  
Reduction Method

Dimensional Reduction for Helmholtz's Equation on an Unbounded Domain

1997 ◽  
Vol 07 (01) ◽  
pp. 81-111 ◽  
Author(s):  
Kang-Man Liu
Keyword(s):  
Hilbert Space ◽  
Unbounded Domain ◽  
Dimensional Reduction ◽  
Fourier Transformation ◽  
Reduction Method ◽  
Rates Of Convergence ◽  
Reduction Technique ◽  
Systems Of Equations ◽  
Basic Tool ◽  
Dimensional Reduction Method

The dimensional reduction method for solving boundary value problems of Helmholtz's equation in domain Ωd := ℝn × (-d,d) by replacing them with systems of equations in ℝn are investigated. Basic tool to analyze dimensional reduction technique for problems on an unbounded domain Ωd is the use of Fourier transformation. The error estimates between the exact solution and the dimensionally reduced solution in some Hilbert space are obtained when d and N are given. The rates of convergence depend on the smoothness of the data on the faces.

DIMENSIONAL REDUCTION FOR THE BEAM IN ELASTICITY ON AN UNBOUNDED DOMAIN

1999 ◽  
Vol 09 (03) ◽  
pp. 415-444 ◽  
Author(s):  
KANG-MAN LIU
Keyword(s):  
Hilbert Space ◽  
Unbounded Domain ◽  
Dimensional Reduction ◽  
Fourier Transformation ◽  
Reduction Method ◽  
Rates Of Convergence ◽  
Reduction Technique ◽  
Systems Of Equations ◽  
Basic Tool ◽  
Dimensional Reduction Method

The dimensional reduction method is investigated for solving boundary value problems of the beam in elasticity on domain Ωd:=ℝ×(-d,d) by replacing the problems with systems of equations in ℝ. The basic tool to analyze the dimensional reduction technique for problems in an unbounded domain Ωd is using of Fourier transformation. The error estimates between the exact solution and the dimensionally reduced solution in a Hilbert space are obtained when d and N are given. The rates of convergence depend on the smoothness of the data on the faces.

Hilbert Space

1993 ◽  
Author(s):  
J. R. Retherford
Keyword(s):  
Hilbert Space

Type -Reduction Method on Fuzzy Critical Path

2019 ◽  
Vol 7 (1) ◽  
pp. 256-259
Author(s):  
P.Balasowandari ◽  
Dr. V.Anusuya
Keyword(s):  
Reduction Method ◽  
Critical Path ◽  
Type Reduction

Current Reduction Method for Dual Active Bridge Converter in Non-linear Dead-time Compensation Method

2020 ◽  
Vol 140 (3) ◽  
pp. 175-183
Author(s):  
Kengo Kawauchi ◽  
Hayato Higa ◽  
Hiroki Watanabe ◽  
Keisuke Kusaka ◽  
Jun-ichi Itoh
Keyword(s):  
Reduction Method ◽  
Dead Time ◽  
Compensation Method ◽  
Dual Active Bridge ◽  
Non Linear ◽  
Dead Time Compensation ◽  
Current Reduction
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