## Computational Techniques for Differential EquationsComputational Techniques for Differential Equations |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Chapter 2 Finite Difference Techniques for Partial Differential Equations | 95 |

Chapter 3 The Galekin Method and Burgers Equation | 355 |

Chapter 4 The Finite Element Method in Engineering Application | 477 |

Chapter 5 An Introduction to the Boundary Element Method | 525 |

Chapter 6 Direct Solution and Storage of Large Sparse Linear Systems | 553 |

Chapter 7 Iterative Methods for Solving Large Sparse Systems of Linear Algebraic Equations ... | 623 |

### Common terms and phrases

absolute stability accuracy algebraic equations algorithm amplitude applied boundary conditions Boundary Element Methods boundary values Burgers calculated central difference Chebyshev coefficients considered convection equation convergence coordinate Crank-Nicolson Crank-Nicolson method derivative diagonal discretisation error eigenvalues Euler's method evaluated exact solution example explicit extrapolation Figure finite difference approximation finite difference equation finite difference method finite element method Fletcher flow formulation FTCS method Galerkin method given gives grid spacing gridpoints implicit finite implicit method initial condition initial value problem matrix nodes non-zero nonlinear numerical method numerical solution obtained one-dimensional diffusion equation Ordinary Differential Equations parameters partial differential equation polynomial region Reynolds number Runge-Kutta methods scheme Section sparse spatial step length subroutine symmetric Table Taylor series techniques transport equation trial functions trial solution truncation error upwind variable vector zero