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William Gilbert Strang (born November 27, 1934 [1]) is an American mathematician known for his contributions to finite element theory, the calculus of variations, wavelet analysis and linear algebra. He has made many contributions to mathematics education, including publishing mathematics textbooks.
A rigorous mathematical basis for FEM was provided in 1973 with a publication by Gilbert Strang and George Fix. [12] The method has since been generalized for the numerical modeling of physical systems in a wide variety of engineering disciplines, such as electromagnetism , heat transfer , and fluid dynamics .
In applied mathematics Strang splitting is a numerical method for solving differential equations that are decomposable into a sum of differential operators. It is named after Gilbert Strang .
In linear algebra, the adjugate or classical adjoint of a square matrix A, adj(A), is the transpose of its cofactor matrix. [1] [2] It is occasionally known as adjunct matrix, [3] [4] or "adjoint", [5] though that normally refers to a different concept, the adjoint operator which for a matrix is the conjugate transpose.
The second proof [6] looks at the homogeneous system =, where is a with rank, and shows explicitly that there exists a set of linearly independent solutions that span the null space of . While the theorem requires that the domain of the linear map be finite-dimensional, there is no such assumption on the codomain.
Left image shows zero-level solution. Right image shows the level-set scalar field. The Level-set method (LSM) is a conceptual framework for using level sets as a tool for numerical analysis of surfaces and shapes. LSM can perform numerical computations involving curves and surfaces on a fixed Cartesian grid without having to parameterize these ...
Gilbert Strang demonstrates the Hadamard conjecture at MIT in 2005, using Sylvester's construction. In mathematics , a Hadamard matrix , named after the French mathematician Jacques Hadamard , is a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal .
Least-squares adjustment is a model for the solution of an overdetermined system of equations based on the principle of least squares of observation residuals. It is used extensively in the disciplines of surveying , geodesy , and photogrammetry —the field of geomatics , collectively.