Applied Numerical Analysis Using MATLAB
Each chapter uses introductory problems from specific applications. These easy-to-understand problems clarify for the reader the need for a particular mathematical technique. Numerical techniques are explained with an emphasis on why they work.
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Solving Equations of One Variable
15 other sections not shown
algorithm approximate solution basic basis functions boundary conditions Chapter coefficient matrix column consider convergence corresponding data points define derivative diagonal difference formula differential equations digits discussion eigenvalues eigenvectors elements end end estimate Euler's method evaluations exact solution Example explicit method feval(f FIGURE finite-difference method fixed-point iteration function values Gauss-Seidel Gauss-Seidel method Gaussian elimination Gaussian quadrature given gives heat equation illustrated in Fig initial conditions integral interpolation polynomial interval Jacobi method least squares approximation linear system LU factorization Matlab function Method for Solving midpoint method multiplication Newton's method node nonlinear numerical methods parameter pivot problem QR factorization quadratic regula falsi right-hand side Runge-Kutta method script secant method shown in Fig spline interpolation step subintervals system Ax system of equations Table techniques tion transform trapezoid rule triangular matrix truncation error variable vector velocity