Introduction to Numerical Methods and Matlab Programming for Engineers
by Todd Young, Martin J. Mohlenkamp
Publisher: Ohio University 2017
Number of pages: 182
The main goals of these lectures are to introduce concepts of numerical methods and introduce Matlab in an Engineering framework. These notes were developed by the author in the process of teaching a course on applied numerical methods for Civil Engineering.
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by Steven E. Pav - University of California at San Diego
From the table of contents: A 'Crash' Course in octave/Matlab; Solving Linear Systems; Finding Roots; Interpolation; Spline Interpolation; Approximating Derivatives; Integrals and Quadrature; Least Squares; Ordinary Differential Equations.
by H.B. Keller - Tata Institute Of Fundamental Research
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Hardware algorithms for computing of all elementary complex variable functions are proposed. Contents: A method 'digit-by-digit'; Decomposition; Compositions; Two-step-by-step operations; Taking the logarithm; Potentiation; and more.
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We present a new technique to apply finite element methods to partial differential equations over curved domains. Bramble-Hilbert lemma is key in harnessing regularity in the physical problem to prove finite element convergence rates for the problem.