Jun 30, 2013 - 2.4.1 Second order RungeâKutta methods . . . . . . . . . . . 38 .... calculator or a computer algebra system to solve some problems numerically ...... The method (2.156) is a two-stage, fourth order implicit RungeâKutta method.
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Emel Yavuz, PhD - "The highest form of pure thought is in mathematics” Plato
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MCB1008 Numerical Methods Content
MATHEMATICAL PRELIMINARIES and ERROR ANALYSIS Review of Calculus Roundoff Errors and Computer Arithmetic SOLUTIONS OF EQUATIONS IN ONE VARIABLE The Bisection Method Fixed-Point Iteration The Newton's Method The Secant Method The Method of False Position Error Analysis for Iterative Methods INTERPOLATION AND POLYNOMIAL APPROXIMATION Interpolation and the Lagrange Polynomial Data Approximation and Neville's Method Divided Differences Forward, Backward and Centered Differences NUMERICAL DIFFERENTIATION AND INTEGRATION Numerical Differentiation Richardson's Extrapolation Elements of Numerical Integration, the Trapezoidal and Simpson's Rule Newton-cotes Formulas Composite Numerical Integration
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