A finite compact (FC) difference scheme requiring only bi-diagonal matrix inversion is proposed by using the known high-resolution flux. Introducing TVD or ENO limiters in the numerical flux, several high-resolution FC-schemes of hyperbolic conservation law are developed, including the FC-TVD, third-order FC-ENO and fifth-order FC-ENO schemes. Boundary conditions formulated need only one unknow...

Aaron M. Griffith Identifying plausible truthmakers for negative truths has been a serious and perennial problem for truthmaker theory. I argue here that negative truths (in particular contingent negative existential truths) are indeed made true but not in the way that positive truths are. I rely on a distinction between “existence-independence” and “variation-independence” drawn by Hofmann and...

This paper studies a family of nite volume schemes for the hyperbolic scalar conservation law ut +∇g · f(x, u) = 0 on a closed Riemannian manifold. For an initial value in BV(M) and an at most 2 -dimensional manifold we will show that these schemes converge with a h 1 4 convergence rate towards the entropy solution. When M is 1 -dimensional the schemes are TVD and we will show that this improve...