9 citations · 9 across the 8 of their papers we have counts for
8 papers
Adaptive Partition of Unity Interpolation Method with Moving Patches
Alfa Heryudono, Mehdi Raessi
The adaptive partition of unity interpolation method, introduced by Aiton and Driscoll, using Chebyshev local interpolants, is explored for interpolating functions with sharp gradi…
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…
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…
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…
Radial basis function methods for the Rosenau equation and other higher order PDEs
Ali Safdari-Vaighani, Elisabeth Larsson, Alfa Heryudono
Meshfree methods based on radial basis function (RBF) approximation are of interest for numerical solution of partial differential equations (PDEs) because they are flexible with r…
A Least Squares Radial Basis Function Partition of Unity Method for Solving PDEs
Elisabeth Larsson, Victor Shcherbakov, Alfa Heryudono
Recently, collocation based radial basis function (RBF) partition of unity methods (PUM) for solving partial differential equations have been formulated and investigated numericall…
An adaptive interpolation scheme for molecular potential energy surfaces
Markus Kowalewski, Elisabeth Larsson, Alfa Heryudono
The calculation of potential energy surfaces for quantum dynamics can be a time consuming task -- especially when a high level of theory for the electronic structure calculation is…
A Reduced Radial Basis Function Method for Partial Differential Equations on irregular domains
Yanlai Chen, Sigal Gottlieb, Alfa Heryudono +1
We propose and test the first Reduced Radial Basis Function Method (RBFM) for solving parametric partial differential equations on irregular domains. The two major ingredients…