Practical aspects of high-order accurate finite-volume schemes for electromagnetics

[1]  K. Yee.  Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[2]  D. Fyfe,et al.  Economical evaluation of Runge-Kutta formulae , 1966 .

[3]  H. Kreiss,et al.  Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II , 1972 .

[4]  B. Gustafsson.  The convergence rate for difference approximations to mixed initial boundary value problems , 1975 .

[5]  R. Hirsh,et al.  Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique , 1975 .

[6]  Robert Vichnevetsky,et al.  4. Full Discretizations , 1982 .

[7]  S. Osher,et al.  Uniformly high order accurate essentially non-oscillatory schemes, 111 , 1987 .

[8]  W. H. Enright.  Analysis of error control strategies for continuous Runge-Kutta methods , 1989 .

[9]  S. Lele.  Compact finite difference schemes with spectral-like resolution , 1992 .

[10]  Harold L. Atkins,et al.  A Finite-Volume High-Order ENO Scheme for Two-Dimensional Hyperbolic Systems , 1993 .

[11]  H. Kreiss,et al.  On the stability definition of difference approximations for the initial boundary value problem , 1993 .

[12]  D. Gottlieb,et al.  The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes , 1993 .

[13]  C. Tam,et al.  Dispersion-relation-preserving finite difference schemes for computational acoustics , 1993 .

[14]  Shlomo Ta'asan,et al.  Finite difference schemes for long-time integration , 1994 .

[15]  D. Gottlieb,et al.  Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes , 1994 .

[16]  Bertil Gustafsson,et al.  Fourth-order difference methods for hyperbolic IBVPs , 1995 .

[17]  Datta V. Gaitonde,et al.  Characteristic-based, time-dependent Maxwell equation solvers on a general curvilinear frame , 1995 .