Works (44)

Updated: July 5th, 2023 16:04

2022 journal article

Global sensitivity analysis: A novel generation of mighty estimators based on rank statistics

BERNOULLI, 28(4), 2345–2374.

By: F. Gamboa*, P. Gremaud n, T. Klein* & A. Lagnoux*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Global sensitivity analysis; Cram?r-von-Mises distance; Pick-Freeze method; Chatterjee?s coefficient of correlation; Sobol? indices estimation
Source: Web Of Science
Added: September 6, 2022

2021 journal article

Classification of orthostatic intolerance through data analytics

MEDICAL & BIOLOGICAL ENGINEERING & COMPUTING, 59(3), 621–632.

By: S. Gilmore n, J. Hart*, J. Geddes n, C. Olsen*, J. Mehlsen*, P. Gremaud n, M. Olufsen n

co-author countries: Denmark 🇩🇰 United States of America 🇺🇸
author keywords: Orthostatic intolerance; Syncope; Classification; Clustering; Machine learning
MeSH headings : Autonomic Nervous System; Blood Pressure; Data Science; Heart Rate; Humans; Orthostatic Intolerance / diagnosis; Syncope / diagnosis; Tilt-Table Test
Source: Web Of Science
Added: March 8, 2021

2021 journal article

MULTISCALE GLOBAL SENSITIVITY ANALYSIS FOR STOCHASTIC CHEMICAL SYSTEMS

MULTISCALE MODELING & SIMULATION, 19(1), 440–459.

By: M. Merritt*, A. Alexanderian* & P. Gremaud*

author keywords: chemical reaction networks; stochastic processes; global sensitivity analysis; multiscale modeling; thermodynamic limit
Source: Web Of Science
Added: May 3, 2021

2020 journal article

Variance-based sensitivity analysis for time-dependent processes

RELIABILITY ENGINEERING & SYSTEM SAFETY, 196.

By: A. Alexanderian n, P. Gremaud n & R. Smith n

co-author countries: United States of America 🇺🇸
author keywords: Global sensitivity analysis; Sobol' Indices; Karhunen-Loeve expansion; Time-dependent processes; Surrogate models; Polynomial chaos; Uncertainty quantification
Sources: Web Of Science, ORCID
Added: March 16, 2020

2019 journal article

Cardiovascular dynamics during head-up tilt assessed via pulsatile and non-pulsatile models

Journal of Mathematical Biology, 79(3), 987–1014.

By: N. Williams*, R. Brady*, S. Gilmore n, P. Gremaud n, H. Tran n, J. Ottesen*, J. Mehlsen*, M. Olufsen n

co-author countries: Denmark 🇩🇰 United States of America 🇺🇸
author keywords: Cardiovascular dynamics modeling; Head-up tilt; Pulsatile versus non-pulsatile modeling; Parameter estimation; Orthostatic intolerance
MeSH headings : Adult; Blood Pressure; Cardiac Output / physiology; Heart Rate; Hemodynamics; Humans; Male; Models, Cardiovascular; Pulsatile Flow; Supine Position; Tilt-Table Test; Vascular Resistance / physiology
Sources: Web Of Science, ORCID, Crossref
Added: August 19, 2019

2019 journal article

Constitutive relations for compressible granular flow in the inertial regime

JOURNAL OF FLUID MECHANICS, 874, 926–951.

By: D. Schaeffer*, T. Barker*, D. Tsuji*, P. Gremaud n, M. Shearer n & J. Gray*

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 Japan 🇯🇵 United States of America 🇺🇸
author keywords: granular media; rheology
Sources: Web Of Science, ORCID
Added: August 12, 2019

2019 journal article

Global Sensitivity Analysis of High-Dimensional Neuroscience Models: An Example of Neurovascular Coupling

BULLETIN OF MATHEMATICAL BIOLOGY, 81(6), 1805–1828.

By: J. Hart n, P. Gremaud n & T. David*

co-author countries: New Zealand 🇳🇿 United States of America 🇺🇸
author keywords: Neurovascular coupling; Global sensitivity analysis; Model parameters
MeSH headings : Actomyosin / physiology; Algorithms; Animals; Blood Flow Velocity / physiology; Computer Simulation; Extracellular Space / physiology; Humans; Mathematical Concepts; Models, Neurological; Neurovascular Coupling / physiology; Potassium / physiology; Signal Transduction / physiology; Vascular Resistance / physiology
Source: Web Of Science
Added: June 17, 2019

2019 journal article

ROBUSTNESS OF THE SOBOL' INDICES TO DISTRIBUTIONAL UNCERTAINTY

INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 9(5), 453–469.

By: J. Hart* & P. Gremaud n

co-author countries: United States of America 🇺🇸
author keywords: global sensitivity analysis; Sobol' indices; uncertain distributions; deep uncertainty
Source: Web Of Science
Added: January 6, 2020

2019 journal article

Robustness of the Sobol' Indices to Marginal Distribution Uncertainty

SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 7(4), 1224–1244.

By: J. Hart* & P. Gremaud*

author keywords: global sensitivity analysis; Sobol' indices; robustness; epistemic uncertainty
Source: Web Of Science
Added: August 10, 2020

2018 journal article

AN APPROXIMATION THEORETIC PERSPECTIVE OF SOBOL' INDICES WITH DEPENDENT VARIABLES

INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 8(6), 483–493.

By: J. Hart* & P. Gremaud n

co-author countries: United States of America 🇺🇸
author keywords: global sensitivity analysis; Sobol' indices; dependent variables
Source: Web Of Science
Added: December 10, 2018

2018 journal article

Nonlocal PDF methods for Langevin equations with colored noise

JOURNAL OF COMPUTATIONAL PHYSICS, 367, 87–101.

By: T. Maltba*, P. Gremaud n & D. Tartakoysky

co-author countries: United States of America 🇺🇸
author keywords: PDF method; Nonlocal; Langevin equation; Colored noise; Stochastic; Random; Uncertainty quantification
Source: Web Of Science
Added: August 6, 2018

2017 journal article

EFFICIENT COMPUTATION OF SOBOL' INDICES FOR STOCHASTIC MODELS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 39(4), A1514–A1530.

By: J. Hart*, A. Alexanderian* & P. Gremaud*

author keywords: global sensitivity; Sobol' indices; stochastic models; surrogate models; MARS; high dimensions
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Analysis of a domain decomposition method for linear transport problems on networks

APPLIED NUMERICAL MATHEMATICS, 109, 61–72.

By: J. Collins* & P. Gremaud n

co-author countries: United States of America 🇺🇸
author keywords: Transport; Network; Domain decomposition
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Comparison of the Windkessel model and structured-tree model applied to prescribe outflow boundary conditions for a one-dimensional arterial tree model

JOURNAL OF BIOMECHANICS, 49(9), 1583–1592.

By: D. Guan*, F. Liang* & P. Gremaud n

co-author countries: China 🇨🇳 United States of America 🇺🇸
author keywords: One-dimensional model; Arterial tree; Outflow boundary conditions; Windkessel model; Structured-tree model; Pressure wave
MeSH headings : Arteries / physiology; Blood Pressure; Hemodynamics; Humans; Models, Cardiovascular
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Transcranial Doppler-Based Surrogates for Cerebral Blood Flow: A Statistical Study

PLOS ONE, 11(11).

By: J. Hart n, V. Novak*, C. Saunders* & P. Gremaud n

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 United States of America 🇺🇸
MeSH headings : Aged; Algorithms; Blood Flow Velocity / physiology; Cerebral Arteries / diagnostic imaging; Cerebrovascular Circulation / physiology; Female; Humans; Magnetic Resonance Angiography; Male; Middle Aged; Models, Statistical; Ultrasonography, Doppler, Transcranial
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Impedance boundary conditions for general transient hemodynamics

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 30(11), 1294–1313.

By: W. Cousins* & P. Gremaud n

co-author countries: United States of America 🇺🇸
author keywords: hemodynamics; boundary conditions; autoregulation; impedance; vascular trees
MeSH headings : Algorithms; Aorta / physiology; Blood Vessels / physiology; Cerebral Arteries / physiology; Circle of Willis / physiology; Hemodynamics; Humans; Models, Cardiovascular
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Numerical Study of Singularity Formation in Relativistic Euler Flows

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 16(2), 348–364.

By: P. Gremaud n & Y. Sun*

co-author countries: United States of America 🇺🇸
author keywords: Relativistic Euler equations; singularity formation; Glimm scheme; central-upwind scheme; hybrid method
Source: Web Of Science
Added: August 6, 2018

2013 journal article

A NEW PHYSIOLOGICAL BOUNDARY CONDITION FOR HEMODYNAMICS

SIAM JOURNAL ON APPLIED MATHEMATICS, 73(3), 1203–1223.

By: W. Cousins*, P. Gremaud* & D. Tartakovsky

author keywords: hemodynamics; network; transport; modeling; boundary conditions; numerics
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Granular Free Surfaces

SIAM REVIEW, 55(1), 168–184.

By: R. Gordon-Wright* & P. Gremaud*

author keywords: free surfaces; friction; mechanics; granular material; differential inclusions; partial differential equations
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Boundary conditions for hemodynamics: The structured tree revisited

JOURNAL OF COMPUTATIONAL PHYSICS, 231(18), 6086–6096.

By: W. Cousins n & P. Gremaud n

co-author countries: United States of America 🇺🇸
author keywords: Hemodynamics; Network; Transport; Modeling; Boundary conditions; Numerics
Source: Web Of Science
Added: August 6, 2018

2011 journal article

A simple model for laser drilling

MATHEMATICS AND COMPUTERS IN SIMULATION, 81(8), 1541–1552.

By: J. Collins n & P. Gremaud n

co-author countries: United States of America 🇺🇸
author keywords: Laser drilling; Phase change; Free boundary; Numerical methods
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Periodic motion of a mass-spring system

IMA JOURNAL OF APPLIED MATHEMATICS, 74(6), 807–826.

By: M. Shearer n, P. Gremaud n & K. Kleiner n

co-author countries: United States of America 🇺🇸
author keywords: mass-spring system; Hamiltonian system; periodic solutions
Sources: Web Of Science, ORCID
Added: August 6, 2018

2008 journal article

BLOOD FLOW IN THE CIRCLE OF WILLIS: MODELING AND CALIBRATION

MULTISCALE MODELING & SIMULATION, 7(2), 888–909.

By: K. Devault n, P. Gremaud*, V. Novak*, M. Olufsen*, G. Vernieres & P. Zhao

co-author countries: United States of America 🇺🇸
author keywords: blood flow; viscoelastic arteries; fluid-structure interaction; Kalman filtering
Source: Web Of Science
Added: August 6, 2018

2007 article

A study of numerical methods for the level set approach

APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 837–846.

By: P. Gremaud n, C. Kuster n & Z. Li n

co-author countries: China 🇨🇳 United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

Fast numerical methods for Bernoulli free boundary problems

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 29(2), 622–634.

By: C. Kuster*, P. Gremaud* & R. Touzani

author keywords: Bernoulli; free boundary; level set; boundary elements
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Numerical investigation of cavitation in multidimensional compressible flows

SIAM JOURNAL ON APPLIED MATHEMATICS, 67(6), 1675–1692.

By: K. Devault n, P. Gremaud n & H. Jenssen

co-author countries: United States of America 🇺🇸
author keywords: Navier-Stokes; Euler; compressible fl ow; cavitation; pseudospectral
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Response to perturbations for granular flow in a hopper

PHYSICAL REVIEW E, 76(5).

By: J. Wambaugh*, R. Behringer*, J. Matthews* & P. Gremaud n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Computational study of fast methods for the eikonal equation

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 27(6), 1803–1816.

By: P. Gremaud* & C. Kuster*

author keywords: Hamilton-Jacobi; eikonal; viscosity solution; fast marching; fast sweeping
Source: Web Of Science
Added: August 6, 2018

2006 journal article

On the computation of steady hopper flows III: Model comparisons

JOURNAL OF COMPUTATIONAL PHYSICS, 219(1), 443–454.

By: P. Gremaud n, J. Matthews* & D. Schaeffer*

co-author countries: United States of America 🇺🇸
author keywords: granular; similarity; spectral; plasticity
Source: Web Of Science
Added: August 6, 2018

2005 journal article

Numerical issues in plasticity models for granular materials

JOURNAL OF VOLCANOLOGY AND GEOTHERMAL RESEARCH, 139(1-2), 23–31.

By: P. Gremaud n

co-author countries: United States of America 🇺🇸
author keywords: granular material; plasticity; heap formation; granular flow; numerical methods
Source: Web Of Science
Added: August 6, 2018

2004 journal article

On the computation of steady Hopper flows II: von Mises materials in various geometries

JOURNAL OF COMPUTATIONAL PHYSICS, 200(2), 639–653.

By: P. Gremaud n, J. Matthews* & . M O'Malley

co-author countries: United States of America 🇺🇸
author keywords: elliptic; granular; similarity; spectral
Source: Web Of Science
Added: August 6, 2018

2004 journal article

Volume determination for bulk materials in bunkers

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 61(13), 2239–2249.

By: S. Ahmed*, R. Buckingham*, P. Gremaud n, C. Hauck*, C. Kuster n, M. Prodanovic*, T. Royal, V. Silantyev*

co-author countries: United States of America 🇺🇸
author keywords: granular; eikonal formulation; ordered upwind methods
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Numerical simulation of aerated powder consolidation

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 38(8), 1185–1194.

By: K. Coffey n & P. Gremaud n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Secondary circulation in granular flow through nonaxisymmetric hoppers

SIAM JOURNAL ON APPLIED MATHEMATICS, 64(2), 583–600.

By: P. Gremaud n, J. Matthews* & D. Schaeffer*

co-author countries: United States of America 🇺🇸
author keywords: granular; similarity solution; perturbation theory
Source: Web Of Science
Added: August 6, 2018

2001 journal article

On a powder consolidation problem

SIAM Journal on Applied Mathematics, 62(1), 1–20.

By: P. Gremaud*, C. Kelley*, T. Royal & K. Coffey

Source: NC State University Libraries
Added: August 6, 2018

2001 journal article

On the computation of steady hopper flows I. Stress determination for Coulomb materials

JOURNAL OF COMPUTATIONAL PHYSICS, 166(1), 63–83.

By: P. Gremaud* & J. Matthews*

author keywords: granular flow; plasticity; hyperbolic conservation laws; discontinuous Galerkin
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Numerical determination of flow corrective inserts for granular materials in conical hoppers

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 35(5), 869–882.

By: P. Gremaud n, D. Schaeffer* & M. Shearer n

co-author countries: United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: August 6, 2018

1999 journal article

Computation of nonclassical solutions to Hamilton-Jacobi problems

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 21(2), 502–521.

By: P. Gremaud* & N. Ide

author keywords: Hamilton-Jacobi; viscosity solution; nonconvex; systems; numerical viscosity
Source: Web Of Science
Added: August 6, 2018

1998 journal article

A priori error estimates for numerical methods for scalar conservation laws - Part III: Multidimensional flux-splitting monotone schemes on non-Cartesian grids

SIAM JOURNAL ON NUMERICAL ANALYSIS, 35(5), 1775–1803.

By: B. Cockburn, P. Gremaud* & J. Yang

author keywords: a priori error estimates; irregular grids; monotone schemes; conservation laws; supraconvergence
Source: Web Of Science
Added: August 6, 2018

1997 journal article

Numerical simulation of pattern formation in grain flows

APPLIED MATHEMATICS AND COMPUTATION, 84(2-3), 145–162.

By: P. Gremaud n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

1997 journal article

a priori error estimates for numerical methods for scalar conservation laws .2. Flux-splitting monotone schemes on irregular Cartesian grids

MATHEMATICS OF COMPUTATION, 66(218), 547–572.

By: B. Cockburn* & P. Gremaud n

co-author countries: United States of America 🇺🇸
author keywords: a priori error estimates; irregular grids; monotone schemes; conservation laws; supraconvergence
Source: Web Of Science
Added: August 6, 2018

1996 journal article

Error estimates for finite element methods for scalar conservation laws

SIAM JOURNAL ON NUMERICAL ANALYSIS, 33(2), 522–554.

By: B. Cockburn & P. Gremaud*

author keywords: error estimates; streamline diffusion method; discontinuous galerkin method; multidimensional conservation laws
Source: Web Of Science
Added: August 6, 2018

1994 journal article

NUMERICAL-ANALYSIS OF A NONCONVEX VARIATIONAL PROBLEM RELATED TO SOLID-SOLID PHASE-TRANSITIONS

SIAM JOURNAL ON NUMERICAL ANALYSIS, 31(1), 111–127.

By: P. Gremaud*

author keywords: FINITE ELEMENT METHOD; RATE OF CONVERGENCE; NUMERICAL APPROXIMATION; NONCONVEX; VARIATIONAL PROBLEM
Source: Web Of Science
Added: August 6, 2018

1992 journal article

ERROR-ESTIMATES FOR EULER FORWARD SCHEME RELATED TO 2-PHASE STEFAN-PROBLEMS

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 26(2), 365–383.

By: G. Amiez & P. Gremaud*

Source: Web Of Science
Added: August 6, 2018

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