Works Published in 2018
Displaying works 41 - 48 of 48 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2018 journal article
From theory to experimental design-Quantifying a trait-based theory of predator-prey dynamics
PLoS One, 13(4).
Source: NC State University Libraries
Added: August 6, 2018
2018 journal article
A least squares augmented immersed interface method for solving Navier-Stokes and Darcy coupling equations
COMPUTERS & FLUIDS, 167, 384–399.
author keywords: Navier-Stokes and Darcy coupling; Coupled fluid flow with porous media; Least squares augmented IIM; Fast Poisson/Helmholtz solver; Analytic solution for Navier-Stokes and; Darcy coupling; Interface relations
TL;DR:
The proposed new idea in enforcing the divergence free condition at the interface from the fluid side has also been utilized to solve the Stokes and Darcy coupling equations and shown to outperform the original method.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2018 journal article
Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes
JOURNAL OF COMPUTATIONAL PHYSICS, 358, 36–52.
author keywords: Euler equations of gas dynamics with gravitation; Well-balanced scheme; Equilibrium variables; Central-upwind scheme; Piecewise linear reconstruction
TL;DR:
A new paradigm based on a purely conservative reformulation of the Euler equations using global fluxes is advocated, capable of exactly preserving steady-state solutions expressed in terms of a nonlocal equilibrium variable.
(via Semantic Scholar)
arxiv.org (repository)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2018 journal article
High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems
ADVANCES IN COMPUTATIONAL MATHEMATICS, 44(1), 327–350.
author keywords: Patlak-Keller-Segel chemotaxis system; Advection-diffusion-reaction systems; High-order finite-difference; Finite-volume methods; Positivity-preserving algorithms
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2018 journal article
A second-order finite-difference method for compressible fluids in domains with moving boundaries
Commun. Comput. Phys., 23(1), 230–263.
Sources: NC State University Libraries, ORCID
Added: August 6, 2018
2018 journal article
Well-balanced schemes for the shallow water equations with Coriolis forces
NUMERISCHE MATHEMATIK, 138(4), 939–973.
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2018 journal article
Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials
Journal of Computational Physics, 354, 26–42.
author keywords: Method of difference potentials (MDP); Compact finite difference scheme; Implicit scheme; Regular structured grid; Nonconforming boundary; High-order accuracy; High-order MDP
TL;DR:
This work solves the wave equation with variable wave speed on nonconforming domains with fourth order accuracy in both space and time using an implicit finite difference scheme and solving an elliptic equation at each time step by the method of difference potentials (MDP).
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2018 journal article
Nonlinear Kalman filtering for censored observations
Applied Mathematics and Computation, 316, 155–166.
author keywords: Extended Kalman filter; Censored observation; Parameter estimation; Hepatitis C virus (HCV); Human immunodeficiency virus (HIV)
TL;DR:
A modified version of the extended Kalman filter is developed to handle the case of censored observations in nonlinear systems and is validated in a simple oscillator system first, showing its ability to accurately reconstruct state variables and track system parameters when observations are censored.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, Crossref
Added: August 6, 2018
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