Updated: April 3rd, 2024 21:41

2024 journal article

Fast and scalable computation of shape-morphing nonlinear solutions with application to evolutional neural networks

*JOURNAL OF COMPUTATIONAL PHYSICS*, *498*.

author keywords: Partial different i a l equations; Reduced-order modeling; Spectral methods; Neural networks

TL;DR:
Three separate methods are developed to address computational bottlenecks in reduced-order nonlinear solutions (RONS) by making it possible to use RONS for accurate numerical solution of linear and nonlinear PDEs.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries

Added: January 2, 2024

2024 journal article

Fisher information and shape-morphing modes for solving the Fokker-Planck equation in higher dimensions

*APPLIED MATHEMATICS AND COMPUTATION*, *467*.

Sources: Web Of Science, NC State University Libraries

Added: January 16, 2024

2023 journal article

Stochastic compartmental models of the COVID-19 pandemic must have temporally correlated uncertainties

author keywords: COVID-19; compartmental models; epidemiology; uncertainty quantification; correlated noise; noise-induced transitions

TL;DR:
It is proved that the correlated Ornstein–Uhlenbeck (OU) process is the appropriate tool for modelling uncertainties in the infectivity rate of the COVID-19 pandemic and an exact closed-form solution for the final distribution of infected individuals is derived.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science; OpenAlex)

Sources: Web Of Science, NC State University Libraries

Added: April 17, 2023

2023 journal article

Tensor-based flow reconstruction from optimally located sensor measurements

*JOURNAL OF FLUID MECHANICS*, *962*.

author keywords: low-dimensional models; big data; computational methods

TL;DR:
This work introduces a tensor-based sensor placement and flow reconstruction method which retains and exploits the inherent multidimensionality of the flow and is significantly more accurate than similar vectorized methods.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

14. Life Below Water
(OpenAlex)

Sources: Web Of Science, NC State University Libraries

Added: August 7, 2023

2022 journal article

EVOLUTION OF NONLINEAR REDUCED-ORDER SOLUTIONS FOR PDEs WITH CONSERVED QUANTITIES

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *44*(1), A176–A197.

Sources: ORCID, Web Of Science, NC State University Libraries

Added: February 15, 2022

2022 journal article

Model-assisted deep learning of rare extreme events from partial observations

*CHAOS*, *32*(4).

MeSH headings : Computer Simulation; Deep Learning; Memory, Long-Term; Neural Networks, Computer; Reproducibility of Results

TL;DR:
Long short-term memory networks are found to be most robust to noise and to yield relatively accurate predictions, while requiring minimal fine-tuning of the hyperparameters.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries, ORCID

Added: May 16, 2022

2022 journal article

Quantifying rare events in spotting: How far do wildfires spread?

*FIRE SAFETY JOURNAL*, *132*.

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science)

15. Life on Land
(Web of Science)

Sources: ORCID, Web Of Science, NC State University Libraries

Added: July 23, 2022

2022 article

Shape-morphing reduced-order models for nonlinear Schrodinger equations

Anderson, W., & Farazmand, M. (2022, April 25). *NONLINEAR DYNAMICS*, Vol. 4.

Sources: Web Of Science, NC State University Libraries, ORCID

Added: May 10, 2022

2021 journal article

Data-driven prediction of multistable systems from sparse measurements

*CHAOS*, *31*(6).

Sources: ORCID, Web Of Science, NC State University Libraries

Added: September 11, 2021

2021 journal article

Evolution of nonlinear reduced-order solutions for PDEs with conserved quantities

*SIAM J. on Scientific Computing, In Press*. https://arxiv.org/abs/2104.13515

Source: ORCID

Added: November 28, 2021

2021 journal article

Investigating climate tipping points under various emission reduction and carbon capture scenarios with a stochastic climate model

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science; OpenAlex)

15. Life on Land
(Web of Science)

Sources: Web Of Science, NC State University Libraries, ORCID

Added: January 3, 2022

2021 journal article

Mitigation of rare events in multistable systems driven by correlated noise

*PHYSICAL REVIEW E*, *104*(3).

Sources: ORCID, Web Of Science, NC State University Libraries

Added: September 11, 2021

2020 journal article

MULTISCALE ANALYSIS OF ACCELERATED GRADIENT METHODS

*SIAM JOURNAL ON OPTIMIZATION*, *30*(3), 2337–2354.

author keywords: convex optimization; accelerated gradient methods; invariant manifolds; singular perturbation theory

TL;DR:
It is shown that, under certain conditions, the accelerated gradient flow possesses an attracting invariant slow manifold to which the trajectories of the flow converge asymptotically, and a general explicit expression in the form of functional series expansions that approximates theslow manifold to any arbitrary order of accuracy is obtained.
(via Semantic Scholar)

Sources: Web Of Science, ORCID, NC State University Libraries

Added: October 26, 2020

2020 journal article

Mitigation of tipping point transitions by time-delay feedback control

*CHAOS*, *30*(1).

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science; OpenAlex)

15. Life on Land
(Web of Science)

Sources: Web Of Science, ORCID, NC State University Libraries

Added: June 29, 2020

2020 journal article

Vortex boundaries as barriers to diffusive vorticity transport in two-dimensional flows

*PHYSICAL REVIEW FLUIDS*, *5*(2).

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science)

14. Life Below Water
(Web of Science)

Sources: Web Of Science, NC State University Libraries, ORCID

Added: March 10, 2020

2019 journal article

Are extreme dissipation events predictable in turbulent fluid flows?

*Physical Review Fluids*.

Source: ORCID

Added: December 2, 2019

2019 journal article

Closed-loop adaptive control of extreme events in a turbulent flow

*PHYSICAL REVIEW E*, *100*(3).

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, ORCID, NC State University Libraries

Added: October 7, 2019

2019 journal article

Closure to “Discussion of ‘Extreme Events: Mechanisms and Prediction’” (Grigoriu, M. D., and Uy, W. I. T., ASME Appl. Mech. Rev., 2019, 71(5), p. 055501)

*Applied Mechanics Reviews*.

Source: ORCID

Added: December 2, 2019

2019 journal article

Extreme Events: Mechanisms and Prediction

*Applied Mechanics Reviews*, *71*(5).

Source: ORCID

Added: December 2, 2019

2019 journal article

Mitigation of tipping point transitions by time-delay feedback control

*ArXiv Preprint ArXiv:1911.05292*.

Source: ORCID

Added: December 2, 2019

2019 journal article

Surface Waves Enhance Particle Dispersion

*Fluids*.

author keywords: turbulent dispersion; waves; stokes drift

Source: ORCID

Added: December 2, 2019

2018 journal article

Physics-based probing and prediction of extreme events

*SIAM News*, *51*(1), 1, 3. https://www.researchgate.net/profile/Mohammad_Farazmand/publication/323245041_Physics-based_probing_and_prediction_of_extreme_events/links/5a887e4daca272017e5f5bef/Physics-based-probing-and-prediction-of-extreme-events.pdf

Source: NC State University Libraries

Added: November 8, 2020

2017 journal article

A critical comparison of Lagrangian methods for coherent structure detection

*Chaos: An Interdisciplinary Journal of Nonlinear Science*.

Source: ORCID

Added: December 2, 2019

2017 journal article

A variational approach to probing extreme events in turbulent dynamical systems

*Science Advances*, *3*(9), e1701533.

UN Sustainable Development Goal Categories

13. Climate Action
(OpenAlex)

Source: ORCID

Added: December 2, 2019

2017 journal article

Optimal initial condition of passive tracers for their maximal mixing in finite time

*Physical Review Fluids*.

Source: ORCID

Added: December 2, 2019

2017 journal article

Reduced-order description of transient instabilities and computation of finite-time Lyapunov exponents

*Chaos: An Interdisciplinary Journal of Nonlinear Science*.

Source: ORCID

Added: December 2, 2019

2017 journal article

Reduced-order prediction of rogue waves in two-dimensional deep-water waves

*Journal of Computational Physics*.

author keywords: Prediction of rogue waves; Extreme rare events; Modulation instability and focusing; Random waves; Reduced-order stochastic prediction

TL;DR:
This work considers the problem of large wave prediction in two-dimensional water waves and proposes a robust and parsimonious reduced-order prediction scheme for large waves based on the decomposition of the wave field into a discrete set of localized wave groups with optimal length scales and amplitudes.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

14. Life Below Water
(OpenAlex)

Source: ORCID

Added: December 2, 2019

2017 journal article

Relative periodic orbits form the backbone of turbulent pipe flow

*Journal of Fluid Mechanics*.

author keywords: nonlinear dynamical systems; turbulence modelling; turbulent flows

Source: ORCID

Added: December 2, 2019

2016 journal article

An adjoint-based approach for finding invariant solutions of Navier–Stokes equations

*Journal of Fluid Mechanics*.

author keywords: chaos; intermittency; transition to turbulence

Source: ORCID

Added: December 2, 2019

2016 journal article

Defining coherent vortices objectively from the vorticity

*Journal of Fluid Mechanics*, *795*, 136–173.

author keywords: nonlinear dynamical systems; topological fluid dynamics; vortex dynamics

Sources: Crossref, NC State University Libraries

Added: December 9, 2019

2016 journal article

Dynamical indicators for the prediction of bursting phenomena in high-dimensional systems

*Physical Review E*.

UN Sustainable Development Goal Categories

6. Clean Water and Sanitation
(OpenAlex)

Source: ORCID

Added: December 2, 2019

2016 journal article

Kinematics of fluid particles on the sea surface: Hamiltonian theory

*Journal of Fluid Mechanics*, *801*, 260–288.

author keywords: general fluid mechanics; Hamiltonian theory; waves/free-surface flows

UN Sustainable Development Goal Categories

14. Life Below Water
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: December 9, 2019

2016 journal article

Polar rotation angle identifies elliptic islands in unsteady dynamical systems

*Physica D: Nonlinear Phenomena*, *315*, 1–12.

UN Sustainable Development Goal Categories

14. Life Below Water
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: December 9, 2019

2015 journal article

Asymptotic Dynamics of Inertial Particles with Memory

*Journal of Nonlinear Science*, *25*(6), 1225–1255.

Sources: Crossref, NC State University Libraries

Added: December 9, 2019

2015 journal article

Attraction-based computation of hyperbolic Lagrangian coherent structures

*Journal of Computational Dynamics*, *2*(1), 83–93.

Sources: Crossref, NC State University Libraries

Added: December 9, 2019

2015 journal article

Dissipative inertial transport patterns near coherent Lagrangian eddies in the ocean

*Chaos: An Interdisciplinary Journal of Nonlinear Science*, *25*(8), 087412.

UN Sustainable Development Goal Categories

14. Life Below Water
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: December 9, 2019

2014 journal article

How coherent are the vortices of two-dimensional turbulence?

*ArXiv Preprint ArXiv:1402.4835*.

Source: ORCID

Added: December 2, 2019

2014 journal article

Shearless transport barriers in unsteady two-dimensional flows and maps

*Physica D*, *278-279*, 44–57.

Source: ORCID

Added: December 2, 2019

2014 journal article

The Maxey-Riley Equation: Existence, Uniqueness and Regularity of Solutions

*J. Nonliner Analysis-B*.

Source: ORCID

Added: December 2, 2019

2013 journal article

Attracting and repelling Lagrangian coherent structures from a single computation

*Chaos*, *15*, 023101.

Source: ORCID

Added: December 2, 2019

2013 journal article

Detecting invariant manifolds, attractors, and generalized KAM tori in aperiodically forced mechanical systems

*Nonlinear Dynamics*, *73*(1-2), 689–704.

UN Sustainable Development Goal Categories

16. Peace, Justice and Strong Institutions
(OpenAlex)

Source: ORCID

Added: December 2, 2019

2012 journal article

Computing Lagrangian Coherent Structures from their variational theory

*Chaos*, *22*, 013128.

MeSH headings : Algorithms; Computer Simulation; Nonlinear Dynamics; Oscillometry / methods; Rheology / methods

TL;DR:
A computational approach is introduced that renders attracting and repelling LCSs as smooth, parametrized curves in two-dimensional flows as trajectories of an autonomous ordinary differential equation for the tensor lines of the Cauchy-Green strain tensor.
(via Semantic Scholar)

Source: ORCID

Added: December 2, 2019

2012 journal article

Erratum and addendum to ``A variational theory of hyperbolic Lagrangian coherent structures, Physica D 240 (2011) 574-598''

*Physica D*, *241*, 439–441.

Source: ORCID

Added: December 2, 2019

2011 journal article

Controlling the dual cascade of two-dimensional turbulence

*J. Fluid Mech.*, *668*, 202–222.

author keywords: turbulence control; turbulence simulation; turbulence theory

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Source: ORCID

Added: December 2, 2019

Updated: August 29th, 2019 23:00

2019 - present

2015 - 2019

2014 - 2015

Updated: January 6th, 2017 16:00

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