Learn More
We continue the development of high-order accurate thin layer approximations for time-domain electromagnetics and focus in this paper on thin transmission layers. The thin transmission layer approximations are valid for general isotropic materials and certain classes of anisotropic materials. The models also allow the inclusion of smoothly curved layers.(More)
Time-stepping algorithms and their implementations are a critical component within the solution of time-dependent partial differential equations (PDEs). In this paper we present a generic framework – both in terms of algorithms and implementations – that allows an almost seamlessly switch between various explicit, implicit and implicit-explicit (IMEX)(More)
  • S. Chun
  • Journal of biological physics
  • 2014
It is widely believed that the pulmonary veins (PVs) of the left atrium play the central role in the generation of anatomically induced atrial reentry but its mechanism has not been analytically explained. To understand this mechanism, a new analytic approach is proposed by adapting the geometric relative acceleration analysis from spacetime physics based(More)
Understanding the magnetic field distribution in the heart is crucial for interpreting electrocardiography (ECG) and magnetocardiography (MCG) results. However, its mathematical model has been restricted by the cardiac fibre orientation and has not been successful in some cases. In this paper, a novel electromagnetic model of cardiac electric signal(More)
A novel numerical scheme is proposed to solve the shallow water equations (SWEs) on arbitrary rotating curved surfaces. Based on the method of moving frames (MMF) in which the geometry is represented by orthonormal vectors, the proposed scheme not only has the fewest dimensionality both in space and time, but also does not require either of metric tensors,(More)
  • 1