3 papers
math.NA2021
Performance Evaluation of Mixed-Precision Runge-Kutta Methods
Ben Burnett, Sigal Gottlieb, Zachary J. Grant +1
Additive Runge-Kutta methods designed for preserving highly accurate solutions in mixed-precision computation were proposed and analyzed in [8]. These specially designed methods us…
math.NA2020
A least squares radial basis function finite difference method with improved stability properties
Igor Tominec, Elisabeth Larsson, Alfa Heryudono
Localized collocation methods based on radial basis functions (RBFs) for elliptic problems appear to be non-robust in the presence of Neumann boundary conditions. In this paper we…
physics.comp-ph2020
Space-Time Collocation Method: Loop Quantum Hamiltonian Constraints
Alec Yonika, Alfa Heryudono, Gaurav Khanna
A space-time collocation method (STCM) using asymptotically-constant basis functions is proposed and applied to the quantum Hamiltonian constraint for a loop-quantized treatment of…