"Stability of explicit schemes for solving Maxwell's equations by high-order finite volume methods"
Firsov D.K.

A new stability criterion of explicit schemes for solving Maxwell's equations by high-order finite volume methods is proposed. The proof is based on a generalization of the stability criterion for the first-order finite volume scheme to the case of high-order schemes. The effect of discontinuities of the solution on the stability of high-order schemes is evaluated. The maximum principle for the finite volume approximations of vector conservation laws is discussed.

Keywords: Maxwell's equations, finite volume method, stability of explicit schemes, high-order accuracy, partial differential equations.

  • Firsov D.K. – Geomodeling Technology Corp.; 1100-665 8 Street SW, Suite 1100, Calgary, AB T2P 3K7, Canada; Ph.D., Numerical Programmer, e-mail: d.k.firsov@gmail.com