### Abstract

We derive and analyse four algorithms for computing the current induced on a thin straight wire by a transient electric field. They all involve solving the thin wire electric field integral equations (EFIEs) and consist of a very accurate differential equations solver together with various schemes to approximate the vector potential integral equation. We carry out a rigorous numerical stability analysis of each of these methods. This has not previously been done for solution schemes for the thin wire EFIEs. Each scheme is shown to be stable and convergent provided the radius of the wire is small enough for the thin wire equations to be a valid model. © 1994 J.C. Baltzer AG, Science Publishers.

Original language | English |
---|---|

Pages (from-to) | 279-317 |

Number of pages | 39 |

Journal | Advances in Computational Mathematics |

Volume | 2 |

Issue number | 3 |

DOIs | |

Publication status | Published - Apr 1994 |

### Keywords

- accuracy
- AMS(MOS) subject classification: 65M10, 65M25, 65R20, 78A45
- convergence
- Electric field integral equation
- method of moments
- stability
- thin wire
- time-marching