A Proof of Convergence for Numerical Approximations Generated by the Locally Inertial Godunov Method in General Relativity
arXiv:1112.51893 citationsh-index: 26
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Provides a rigorous convergence proof for a numerical method in general relativity, addressing a fundamental theoretical gap for researchers in computational astrophysics.
The paper proves convergence of the locally inertial Godunov method with dynamical time dilation for numerical approximations in general relativity, establishing a theoretical foundation for its reliability.
We provide details for the proof of convergence of the locally inertial Godunov method with dynamical time dilation.