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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. [13] [14]
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 .
MIT Linear Algebra Video Lectures, a series of 34 recorded lectures by Professor Gilbert Strang (Spring 2010) International Linear Algebra Society "Linear algebra", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Linear Algebra on MathWorld; Matrix and Linear Algebra Terms on Earliest Known Uses of Some of the Words of Mathematics
For example, consider the ordinary differential equation ′ = + The Euler method for solving this equation uses the finite difference quotient (+) ′ to approximate the differential equation by first substituting it for u'(x) then applying a little algebra (multiplying both sides by h, and then adding u(x) to both sides) to get (+) + (() +).
Interior designer Grace Kaage's 2-year-old son, Christian, drew all over her white couch. See how she responded to her toddler drawing on her white furniture.
Mauch, Sean (2004), Unabridged Version of Sean's Applied Math Book, archived from the original on 2006-04-15; Sloughter, Dan (2000), Difference Equations to Differential Equations; Strang, Gilbert (1991), Calculus; Stroyan, Keith D. (1997), A Brief Introduction to Infinitesimal Calculus, archived from the original on 2005-09-11; Wikibooks, Calculus
Here we provide two proofs. The first [2] operates in the general case, using linear maps. 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 .