LECTURES IN BASIC COMPUTATIONAL NUMERICAL ANALYSIS

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J. M. McDonoughUniversity of Kentucky Lexington, KY 40506E-mail: = x [J( )] (x )(m)(m+1)(m)(m) 1D f = 0if fi+1i 12hy = (y,t) LECTURES IN BASIC COMPUTATIONALNUMERICAL ANALYSIS LECTURES IN BASIC COMPUTATIONALNUMERICAL ANALYSISLECTURES IN BASICCOMPUTATIONALNUMERICAL ANALYSISJ. M. McDonoughDepartments of Mechanical Engineering and MathematicsUniversity of Kentuckyc 1984, 1990, 1995, 2001, 2004, 2007Contents1 NUMERICAL Linear Some BASIC Facts from Linear Algebra . . . . . . . . . . . . . . . . .. . . . . . . . . Solution of Linear Systems . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . NUMERICAL solution of linear systems: direct elimination.

numerical linear algebra; e.g., solution of systems of ordinary differential equation initial value problems by implicit methods, solution of boundary value problems for ordinary and partial dif- ferential equations by any discrete approximation method, construction of splines, and solution of

  Solutions, Methods, Numerical