51 citations · 103 across the 10 of their papers we have counts for
10 papers
Optimal Play, Nontransitivity, and Nash Equilibria in Dice Bingo
David J. Hemmer, Benjamin W. Ong
We study Dice Bingo, a game in which players fill a bingo board whose entries are possible sums of two fair dice. After each roll, a player marks one matching square, an…
An Incremental Non-Linear Manifold Approximation Method
Praveen T. W. Hettige, Benjamin W. Ong
Analyzing high-dimensional data presents challenges due to the "curse of dimensionality'', making computations intensive. Dimension reduction techniques, categorized as linear or n…
QN Optimization with Hessian Sample
Joy Azzam, Daniel Henderson, Benjamin Ong +1
This article explores how to effectively incorporate curvature information generated using SIMD-parallel forward-mode Algorithmic Differentiation (AD) into unconstrained Quasi-Newt…
An Asymptotic Preserving Maxwell Solver Resulting in the Darwin Limit of Electrodynamics
Yingda Cheng, Andrew J. Christlieb, Wei Guo +1
In plasma simulations, where the speed of light divided by a characteristic length is at a much higher frequency than other relevant parameters in the underlying system, such as th…
Pipeline Implementations of Neumann-Neumann and Dirichlet-Neumann Waveform Relaxation Methods
Benjamin W. Ong, Bankim C. Mandal
This paper is concerned with the reformulation of Neumann-Neumann Waveform Relaxation (NNWR) methods and Dirichlet-Neumann Waveform Relaxation (DNWR) methods, a family of parallel…
A Distributed and Incremental SVD Algorithm for Agglomerative Data Analysis on Large Networks
M. A. Iwen, B. W. Ong
In this paper, we show that the SVD of a matrix can be constructed efficiently in a hierarchical approach. Our algorithm is proven to recover the singular values and left singular…
Algorithm xxx: RIDC Methods -- A Family of Parallel Time-Integrators
Benjamin Ong, Ronald Haynes, Kyle Ladd
Revisionist integral deferred correction (RIDC) methods are a family of parallel--in--time methods to solve systems of initial values problems. The approach is able to bootstrap lo…
A New Family of Regularized Kernels for the Harmonic Oscillator
Benjamin Ong, Andrew Christlieb, Bryan Quaife
In this paper, a new two-parameter family of regularized kernels is introduced, suitable for applying high-order time stepping to N-body systems. These high-order kernels are deriv…
Revisionist Integral Deferred Correction with Adaptive Stepsize Control
Andrew J. Christlieb, Colin B. Macdonald, Benjamin W. Ong +1
Adaptive stepsize control is a critical feature for the robust and efficient numerical solution of initial-value problems in ordinary differential equations. In this paper, we show…
Parallel Semi-Implicit Time Integrators
Benjamin Ong, Andrew Melfi, Andrew Christlieb
In this paper, we further develop a family of parallel time integrators known as Revisionist Integral Deferred Correction methods (RIDC) to allow for the semi-implicit solution of…