This paper describes the development of explicit time-stepping methods for linear partial differential equations that are specifically designed to cope with the stiffness of the system of ordinary differential equations that results from spatial discretization. As stiffness is caused by the contrasting behavior of coupled components of the solution, it is proposed to adopt a componentwise appro...

The numerical solution of a time-dependent PDE generally involves the solution of a stiff system of ODEs arising from spatial discretization of the PDE. There are many methods in the literature for solving such systems, such as exponential propagation iterative (EPI) methods, that rely on Krylov projection to compute matrix function-vector products. Unfortunately, as spatial resolution increase...

We investigated the long-term changes in the Harris Hip and Knee Society scores (HSS and KSS) to determine whether they result from overall functional decline rather than actual changes in the condition of the prosthesis. The HHS for 106 total hip arthroplasties with a minimum follow-up of ten years, no medical complications after operation and no evidence of radiological loosening, and the KSS...

To cite: Sharma AK, Jain N, Kharwar RB, et al. BMJ Case Rep Published online: [please include Day Month Year] doi:10.1136/bcr-2016216500 DESCRIPTION We describe the images of a 27-year-old man presenting with recurrent syncope due to complete heart block (figure 1). The patient, on further examination, showed ophthalmoplegia, bilateral ptosis (figure 2) and pigmentary retinopathy (figure 3). Ke...