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The method of moments (MoM), also known as the moment method and method of weighted residuals, [1] is a numerical method in computational electromagnetics. It is used in computer programs that simulate the interaction of electromagnetic fields such as radio waves with matter, for example antenna simulation programs like NEC that calculate the ...
The method of moments (MoM) [2] or boundary element method (BEM) is a numerical computational method of solving linear partial differential equations which have been formulated as integral equations (i.e. in boundary integral form).
Method of moments (electromagnetics), a numerical method in electromagnetics, also referred to as boundary element method in other fields; Method of moments (statistics), a method of parameter estimation in statistics; Method of moments (probability theory), a way of proving convergence in distribution in probability theory; Second moment ...
The boundary element method (BEM) is a numerical computational method of solving linear partial differential equations which have been formulated as integral equations (i.e. in boundary integral form), including fluid mechanics, acoustics, electromagnetics (where the technique is known as method of moments or abbreviated as MoM), [1] fracture mechanics, [2] and contact mechanics.
The method of moments was introduced by Pafnuty Chebyshev for proving the central limit theorem; Chebyshev cited earlier contributions by Irénée-Jules Bienaymé. [2] More recently, it has been applied by Eugene Wigner to prove Wigner's semicircle law, and has since found numerous applications in the theory of random matrices. [3]
Harrington has published two standard engineering textbooks, Introduction to Electromagnetic Engineering in 1958 and Time-Harmonic Electromagnetic Fields in 1961. In 1968, he published Field Computation by Moment Methods, which introduced the unified and generalized theory of method of moments (MoM), an integral equation method for solving electromagnetic problems.
In statistics, the method of moments is a method of estimation of population parameters.The same principle is used to derive higher moments like skewness and kurtosis. It starts by expressing the population moments (i.e., the expected values of powers of the random variable under consideration) as functions of the parameters of interest.
HOBBIES is a general purpose electromagnetic solver for various applications. [1] The name is an acronym for Higher Order Basis Based Integral Equation Solver.. The software is based on the Method of Moments (MoM), [2] and it employs higher order polynomials as the basis functions for the frequency domain integral equation solver.