activity
20122019
most citedThe Gaussian semiclassical soliton ensemble and numerical methods for the focusing nonlinear Schrödinger equation

2 citations · 3 across the 3 of their papers we have counts for

collaborators

8 papers

math.NA2019

A FEAST variant incorporated with a power iteration

Man-Chung Yeung, Long Lee

We present a variant of the FEAST matrix eigensolver for solving restricted real and symmetric eigenvalue problems. The method is derived from a combination of a variant of the FEA…

math.NA2017

Numerical renormalization group algorithms for self-similar solutions of partial differential equations

Gastão A. Braga, Federico C. Furtado, Vincenzo Isaia +1

We systematically study a numerical procedure that reveals the asymptotically self-similar dynamics of solutions of partial differential equations (PDEs). This procedure, based on…

math.NA2016

A Spectral Projection Preconditioner for Solving Ill Conditioned Linear Systems

Man-Chung Yeung, Craig C. Douglas, Long Lee

We present a preconditioner based on spectral projection that is combined with a deflated Krylov subspace method for solving ill conditioned linear systems of equations. Our result…

math.NA2016

On Solving Ill-Conditioned Linear Systems

Craig C. Douglas, Long Lee, Man-Chung Yeung

This paper presents the first results to combine two theoretically sound methods (spectral projection and multigrid methods) together to attack ill-conditioned linear systems. Our…

cs.CV2016

A landmark-based algorithm for automatic pattern recognition and abnormality detection

S. Huzurbazar, Long Lee, Dongyang Kuang

We study a class of mathematical and statistical algorithms with the aim of establishing a computer-based framework for fast and reliable automatic abnormality detection on landmar…

math.NA2015

A class of fast geodesic shooting algorithms for template matching and its applications via the -particle system of the Euler-Poincaré equations

Roberto Camassa, Dongyang Kuang, Long Lee

The Euler-Poincaré (EP) equations describe the geodesic motion on the diffeomorphism group. For template matching (template deformation), the Euler-Lagrangian equation, arising fro…