Works (44)

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.

By: W. Anderson n & M. Farazmand n

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.

By: W. Anderson n & M. Farazmand n

author keywords: Partial differential equations; Stochastic differential equations; Fokker-Planck equation; Neural networks; Information theory
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

By: K. Mamis n & M. Farazmand n

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.

By: M. Farazmand n & A. Saibaba n

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.

By: W. Anderson* & M. Farazmand*

author keywords: model order reduction; partial differential equations; conservation laws; Galerkin projection
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).

By: A. Asch n, E. J. Brady, H. Gallardo n, J. Hood n, B. Chu n & M. Farazmand n

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.

By: A. Mendez n & M. Farazmand*

author keywords: Firebrand transport; Spotting; Monte Carlo method; Rare event simulation; Large deviation theory
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.

By: W. Anderson n & M. Farazmand n

author keywords: Model order reduction; Partial differential equations; Nonlinear Schrodinger equation; Variational methods
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).

By: B. Chu n & M. Farazmand n

TL;DR: A data-driven method, based on semi-supervised classification, to predict the asymptotic state of multistable systems when only sparse spatial measurements of the system are feasible, and proves that the proposed SPML optimization is convex, its minimizer is non-degenerate, and it is equivariant with respect to the scaling of the constraints. (via Semantic Scholar)
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

By: W. Anderson & M. Farazmand

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

By: A. Mendez n & M. Farazmand n

author keywords: climate transition; tipping points; transient growth; bifurcation; stochastic differential equations
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).

By: K. Mamis n & M. Farazmand n

TL;DR: It is shown that undesirable transitions can be mitigated by a simple time-delay feedback control if the control parameters are judiciously chosen, and a parsimonious method for selecting the optimal control parameters is devised, without requiring any Monte Carlo simulations of the system. (via Semantic Scholar)
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.

By: M. Farazmand*

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).

By: M. Farazmand n

TL;DR: These results eliminate the need for any Monte Carlo simulations of the stochastic differential equations and, therefore, significantly reduce the computational cost of determining the suitable control parameters. (via Semantic Scholar)
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).

By: S. Katsanoulis*, M. Farazmand n, M. Serra* & G. Haller*

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.

Mohammad Farazmand

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).

By: M. Farazmand n & T. Sapsis n

TL;DR: This work introduces a control strategy for mitigating extreme events in a turbulent shear flow that combines a probabilistic prediction of the extreme events with a deterministic actuator and proposes that such adaptive low-dimensional controllers should be used to mitigateextreme events in general chaotic dynamical systems, beyond the shear flowed here. (via Semantic Scholar)
UN Sustainable Development Goal Categories
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.

Mohammad Farazmand

Source: ORCID
Added: December 2, 2019

2019 journal article

Extreme Events: Mechanisms and Prediction

Applied Mechanics Reviews, 71(5).

By: M. Farazmand* & T. Sapsis*

TL;DR: Several aspects of extreme events in phenomena described by high-dimensional, chaotic dynamical systems are reviewed, focusing on two pressing aspects of the problem: Mechanisms underlying the formation ofextreme events and real-time prediction of extremeEvents. (via Semantic Scholar)
Source: ORCID
Added: December 2, 2019

2019 journal article

Mitigation of tipping point transitions by time-delay feedback control

ArXiv Preprint ArXiv:1911.05292.

By: M. Farazmand

Source: ORCID
Added: December 2, 2019

2019 journal article

Surface Waves Enhance Particle Dispersion

Fluids.

By: M. Farazmand* & T. Sapsis*

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

By: M. Farazmand & T. Sapsis

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.

Mohammad Farazmand

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.

By: M. Farazmand* & T. Sapsis*

TL;DR: It is found that the intermittent bursts of the energy dissipation are independent of the external forcing and are instead caused by the spontaneous transfer of energy from large scales to the mean flow via nonlinear triad interactions. (via Semantic Scholar)
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.

Mohammad Farazmand

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.

Mohammad Farazmand

TL;DR: It is proved that the OTD modes, under appropriate conditions, converge exponentially fast to the eigendirections of the Cauchy-Green tensor associated with the most intense finite-time instabilities. (via Semantic Scholar)
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.

Mohammad Farazmand

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.

Mohammad Farazmand

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.

Mohammad Farazmand

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.

By: G. Haller*, A. Hadjighasem*, M. Farazmand* & F. Huhn*

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.

Mohammad Farazmand

TL;DR: This work proposes indicators for the prediction of such rare extreme events which do not require a priori known slow and fast coordinates and uses Bayesian statistics to quantify the predictive power of the proposed indicators. (via Semantic Scholar)
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.

By: F. Fedele*, C. Chandre* & M. Farazmand*

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.

By: M. Farazmand* & G. Haller*

author keywords: Non-autonomous dynamical systems; Invariant tori; Coherent structures; Turbulence; Polar decomposition
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.

By: G. Langlois*, M. Farazmand* & G. Haller*

author keywords: Inertial particles; Fractional calculus; Integro-differential equations; Maxey-Riley equation; Solid-fluid interaction
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.

By: D. Karrasch, M. Farazmand* & G. Haller

TL;DR: This work develops a new approach to compute arbitrary positions of hyperbolic LCS in a numerically robust fashion, which only involves the advection of attracting material surfaces, thereby providing accurate LCS tracking at low computational cost. (via Semantic Scholar)
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.

TL;DR: It is obtained that anticyclonic coherent Lagrangian eddies attract (repel) negatively (positively) buoyant finite-size particles, while cyclonic incoherent Lagrangians attract ( repel) positively (negatively) buoyancy-based particles. (via Semantic Scholar)
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.

By: M. Farazmand & G. Haller

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.

By: M. Farazmand*, D. Blazevski* & G. Haller*

author keywords: Dynamical systems; Shearless transport barriers; Invariant tori; Lagrangian coherent structures; Mixing
Source: ORCID
Added: December 2, 2019

2014 journal article

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

J. Nonliner Analysis-B.

By: M. Farazmand* & G. Haller*

author keywords: Inertial particles; Fractional-order differential equations; Integro-differential equations; Maxey-Riley equation
Source: ORCID
Added: December 2, 2019

2013 journal article

Attracting and repelling Lagrangian coherent structures from a single computation

Chaos, 15, 023101.

By: M. Farazmand* & G. Haller*

TL;DR: This work shows how both repelling and attracting hyperbolic LCSs are computable at the same time instance from a single forward or a single backward run. (via Semantic Scholar)
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.

By: A. Hadjighasem*, M. Farazmand* & G. Haller*

author keywords: Stability of mechanical systems; Non-autonomous dynamical systems; Invariant manifolds; Coherent structures
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.

By: M. Farazmand* & G. Haller*

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.

By: M. Farazmand* & G. Haller*

Source: ORCID
Added: December 2, 2019

2011 journal article

Controlling the dual cascade of two-dimensional turbulence

J. Fluid Mech., 668, 202–222.

By: M. Farazmand*, N. Kevlahan* & B. Protas*

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

Employment

Updated: August 29th, 2019 23:00

2019 - present

North Carolina State University Raleigh, NC, US
Assistant Professor Mathematics

2015 - 2019

Massachusetts Institute of Technology Cambridge, MA, US
Postdoctoral Associate

2014 - 2015

Georgia Institute of Technology Atlanta, GA, US
Postdoc Physics

Education

Updated: January 6th, 2017 16:00

ETH Zurich Zurich, CH
PhD Mathematics

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