A new method of constructing the symmetry‐adapted linear combinations based on the correspondence theorem and induced representations

1986 ◽  
Vol 27 (1) ◽  
pp. 365-369 ◽  
Author(s):  
Shoon K. Kim
Keyword(s):  
New Method ◽  
Linear Combinations ◽  
Induced Representations ◽  
Correspondence Theorem

Identification of Simultaneous Equation Model in Econometrics

2011 ◽  
Vol 58-60 ◽  
pp. 1944-1947
Author(s):  
Hou Xing Tang
Keyword(s):  
Econometric Model ◽  
Simultaneous Equation ◽  
Equation Model ◽  
New Method ◽  
Simultaneous Equation Model ◽  
Linear Combinations ◽  
Definition Of ◽  
Simultaneous Equation Models

Identification is an important topic on simultaneous equation econometric model. It determines that whether the coefficients of the simultaneous equation models can be estimated. From the definition of identification perspective, this article will provide a new method about identification based on the relation between identified equations and the linear combinations of all equations.

scholarly journals A Two-Step Modified Explicit Hybrid Method with Step-Size-Dependent Parameters for Oscillatory Problems

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Faieza Samat ◽  
Eddie Shahril Ismail
Keyword(s):  
Differential Equations ◽  
Hybrid Method ◽  
Absolute Stability ◽  
Numerical Results ◽  
Sixth Order ◽  
New Method ◽  
Step Size ◽  
Linear Combinations ◽  
Size Dependent ◽  
Modified Formula

A new two-step modified explicit hybrid method with parameters depending on the step-size is constructed. This method is derived using the coefficients from a sixth-order explicit hybrid method with extended interval of absolute stability and then imposed each stage of the modified formula to exactly integrate the differential equations with solutions that can be expressed as linear combinations of sinwx and coswx, where w is the known frequency. Numerical results show the advantage of the new method for solving oscillatory problems.

A Note on the Laplace Transform

1976 ◽  
Vol 13 (3) ◽  
pp. 241-255 ◽  
Author(s):  
T. W. Brady
Keyword(s):  
Laplace Transform ◽  
Complex Variable ◽  
Integral Operators ◽  
New Method ◽  
Partial Fraction ◽  
Convolution Integral ◽  
Linear Combinations ◽  
Partial Fraction Expansion ◽  
The Laplace Transform

A new method of obtaining inverse transforms is suggested, which shows some advantages over partial fraction expansion methods. It uses linear combinations of the complex variable ‘ s’ as differential or integral operators; it also uses properties which a transform and its derivatives possess at the origin of time. The convolution integral is used for some difficult inversions.

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