Improving the Accuracy of Binary Black Hole Merger Waveforms Using Compact Finite Differences

Current numerical methods for solving Einstein's field equations are widely considered to be insufficient for the greater accuracies required by next generation gravitational wave observatories. Compact Finite Differences (CFDs) show promise as a numerical method that may reduce computational cost while improving accuracy. In this work, we integrate CFD operators into Dendro-GR, an adaptive multiresolution evolution code for general relativity. We demonstrate additional efficiencies and improved accuracy using optimized CFD operators with stable boundary closures in our evolutions of binary black hole merger events.