Date registered: March 13, 2010
Forward and backwards search for latex source and their compiled images is a must have feature for me.
I wish to be a successful mathematician. I want my papers to be read, enjoyed, even eagerly anticipated. I struggle, however, to write well. Most of my posts are stream of consciousness. They are my thoughts, with only a little reflection thrown in. This I don’t mind. My blog isn’t to advertise myself, allow inclusion …
I’ve just finished Jörg Frauendiener’s, “On the applicability of constrained symplectic integrators in general relativity”. It’s a readable paper (the necessary background is given in the paper) about numerical integration in Hamiltonian systems. The idea here is that if we have a symplectic manifold modelling the states of some system of ODE’s, along with a …
I refer you to Ruth Durrer’s very readable (and short) paper with the same title as above. The main point of the paper is that all evidence for Dark Energy comes from the measurement of luminosity distance as a function of redshift and that energy/matter content of the universe is then inferred from this measurement …
So, from what I understand it seems that strong and symmetric hyperbolicity of equations is only defined for systems with first order derivatives. The significance is that strong or symmetric hyperbolic systems of differential equations are “well posed” that is, roughly speaking, that they have unique solutions that depend continuously on the initial data (i.e. …
