16 citations · 56 across the 8 of their papers we have counts for
8 papers
Hyperbolicity of High Order Systems of Evolution Equations
David Hilditch, Ronny Richter
We study properties of evolution equations which are first order in time and arbitrary order in space (FTNS). Following Gundlach and Martín-García (2006) we define strong and symme…
Hyperbolicity of Physical Theories with Application to General Relativity
David Hilditch, Ronny Richter
We consider gauge theories from the free evolution point of view, in which initial data satisfying constraints of a theory are given. Because the constraints are compatible with th…
Hyperbolicity of Hamiltonian formulations in General Relativity
Ronny Richter, David Hilditch
Well-posedness of the initial (boundary) value problem is an essential property, both of meaningful physical models and of numerical applications. To prove well-posedness of wave-t…
Hyperbolic formulations of General Relativity with Hamiltonian structure
David Hilditch, Ronny Richter
With the aim of deriving symmetric hyperbolic free-evolution systems for GR that possess Hamiltonian structure and allow for the popular puncture gauge condition we analyze the hyp…
Strongly hyperbolic Hamiltonian systems in numerical relativity: Formulation and symplectic integration
Ronny Richter
We consider two strongly hyperbolic Hamiltonian formulations of general relativity and their numerical integration with a free and a partially constrained symplectic integrator. In…
Free and constrained symplectic integrators for numerical general relativity
Ronny Richter, Christian Lubich
We consider symplectic time integrators in numerical General Relativity and discuss both free and constrained evolution schemes. For free evolution of ADM-like equations we propose…