## A basic course in numerical methods |

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### Contents

Lesson 1Power Series | 5 |

Lesson 2Newtons Method | 6 |

Lesson 3Matrix Algebra | 11 |

14 other sections not shown

### Common terms and phrases

accuracy algebraic Answers to Quiz apply Associate Professor University augmented matrix boundary conditions calculate coefficient matrix column vector computational stencil Continue the solution convergence DELTX derivatives dx/dt eigenvalue problem eigenvector elements end of Lesson equa equation in Set error evaluated exact solution example finite-difference analog first-order equations fixed-point formulas FORTRAN four decimal places function Gauss elimination method heat equation increment independent variable initial conditions initial-value problems interior nodal point interior point interval inverse matrix iterative methods Jacobi method Laplace’s equation Maclaurin series Nebr Nebraska Lincoln Newton’s method nondimensional notation numerical methods Partial Differential Equations procedure real root retain four decimal right side rough graph Runge-Kutta method S. H. Crandall—Engineering Analysis set of equations set of simultaneous simultaneous equations solu source program square matrix Statement step subscripts substituted tabulated Taylor series three decimal places tion trial solution University of Nebraska values of f wave equation York