{"product_id":"reformed-baptist-manifesto-book-samuel-e-waldron-9780976003908","title":"A Reformed Baptist Manifesto","description":"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.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50098121638161,"sku":"CIN0976003902G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51009729331473,"sku":"NIN9780976003908","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51565902299409,"sku":"CIN0976003902VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":53218269397265,"sku":"NLS9780976003908","price":9.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0976003902.jpg?v=1751109265","url":"https:\/\/www.worldofbooks.com\/en-gb\/products\/reformed-baptist-manifesto-book-samuel-e-waldron-9780976003908","provider":"World of Books ","version":"1.0","type":"link"}