A Reformed Baptist Manifesto by Samuel E Waldron
This work is concerned with the development of a high-order discontinuous Galerkin time-domain (DGTD) method for solving Maxwell's equations on non-conforming simplicial meshes. First, we present a DGTD method based on high-order nodal basis functions for the approximation of the electromagnetic field within a simplex, a centered scheme for the calculation of the numerical flux at an interface between neighbouring elements, and a second-order leap-frog time integration scheme. Next, to reduce the computational costs of the method, we propose a hp-like DGTD method which combines local h-refinement and p-enrichment. Then, we report on a detailed numerical evaluation of the DGTD methods using several propagation problems. Finally, in order to improve the accuracy and rate of convergence of the DGTD methods previously studied, we study a family of high-order explicit leap-frog time schemes. These time schemes ensure the stability under some CFL-like condition. We also establish rigorously the convergence of the semi-discrete approximation to Maxwell's equations and we provide bounds on the global divergence error.
Sam Waldron Samuel E. Waldron (born 1951) is a Reformed Baptist and professor of Systematic Theology at Midwest Center for Theological Studies (MCTS). In addition to teaching at MCTS, he is a pastor of Heritage Baptist Church in Owensboro, Kentucky.Waldron received a B.A. from Cornerstone University (1973), an M.Div. equivalency from Trinity Ministerial Academy, a Th.M. from Grand Rapids Theological Seminary (1987) and a Ph.D. from Southern Baptist Theological Seminary in 2005. From 1977 to 2001 he was a pastor of the Reformed Baptist Church of Grand Rapids.
| SKU | Unavailable |
| ISBN 13 | 9780976003908 |
| ISBN 10 | 0976003902 |
| Title | A Reformed Baptist Manifesto |
| Author | Samuel E Waldron |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Reformed Baptist Academic Press |
| Year published | 2004-10-04 |
| Number of pages | 124 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |