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PL06, Numerical methods
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ABOUT MATLAB and MATLAB GUI (Graphical User Interface)
AN INTRODUCTION TO MATLAB
FLOATING-POINT ARITHMETIC
CONVERGENCE OF THE NEWTON AND SECANT METHODS
MULTIPLE ROOTS AND THE MODIFIED NEWTON METHOD
NEWTON’S METHOD FOR NONLINEAR SYSTEMS
System of Linear Equations
MATRICES AND MATRIX OPERATIONS
NAIVE GAUSSIAN ELIMINATION
GAUSSIAN ELIMINATION WITH SCALED PARTIAL PIVOTING
POLYNOMIAL INTERPOLATION THEORY
NEWTON’S DIVIDED-DIFFERENCE INTERPOLATING POLYNOMIAL
THE ERROR OF THE INTERPOLATING POLYNOMIAL
LAGRANGE INTERPOLATING POLYNOMIAL
Interpolation with Spline Functions
PIECEWISE LINEAR INTERPOLATION
The Method of Least-Squares
ANALYSIS OF SINGLE-VARIABLE FUNCTIONS
MINIMIZATION USING DERIVATIVES
Numerical Differentiation
NUMERICAL DIFFERENTIATION
Numerical Methods for Linear Integral Equations
THE SUCCESSIVE APPROXIMATION METHOD
VOLTERRA-TYPE INTEGRAL EQUATIONS
Numerical Methods for Differential Equations
HIGHER-ORDER TAYLOR SERIES METHODS
PREDICTOR-CORRECTOR METHODS
HIGHER-ORDER EQUATIONS AND SYSTEMS OF DIFFERENTIAL EQUATIONS
IMPLICIT METHODS AND STIFF SYSTEMS
PHASE PLANE ANALYSIS: CHAOTIC DIFFERENTIAL EQUATIONS
FINITE-DIFFERENCE METHODS
Eigenvalues and Eigenvectors
EIGENVALUES FOR BOUNDARY-VALUE PROBLEMS
BIFURCATIONS IN DIFFERENTIAL EQUATIONS
Dynamical Systems and Chaos
A REVIEW OF LINEAR ORDINARY DIFFERENTIAL EQUATIONS
DEFINITIONS AND THEORETICAL CONSIDERATIONS
Partial Differential Equations
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
INTRODUCTION TO FINITE-ELEMENT METHOD
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