@article{f8ffdb1adeeb4d59bb5a0b1b20bd10d5,
title = "Fourth-Order Accurate Compact Scheme for First-Order Maxwell{\textquoteright}s Equations",
abstract = "We construct a compact fourth-order scheme, in space and time, for the time-dependent Maxwell{\textquoteright}s equations given as a first-order system on a staggered (Yee) grid. At each time step, we update the fields by solving positive definite second-order elliptic equations. We develop compatible boundary conditions for these elliptic equations while maintaining a compact stencil. The proposed scheme is compared computationally with a non-compact scheme and with a convolutional dispersion relation preserving (DRP) scheme.",
keywords = "65M06, 78M20, Bounded domain, Compact finite differences, High order accuracy, Maxwell{\textquoteright}s equations",
author = "I. Versano and E. Turkel and S. Tsynkov",
note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",
year = "2024",
month = aug,
doi = "10.1007/s10915-024-02583-5",
language = "אנגלית",
volume = "100",
journal = "Journal of Scientific Computing",
issn = "0885-7474",
publisher = "Springer New York",
number = "2",
}