Pierre Alain Gremaud
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Works (44)
Updated: April 11th, 2023 10:13
2022 journal article
Global sensitivity analysis: A novel generation of mighty estimators based on rank statistics
BERNOULLI, 28(4), 2345–2374.
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.
author keywords: Orthostatic intolerance; Syncope; Classification; Clustering; Machine learning
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.
author keywords: chemical reaction networks; stochastic processes; global sensitivity analysis; multiscale modeling; thermodynamic limit
arxiv.org (repository)
Source: Web Of Science
Added: May 3, 2021
2020 journal article
Variance-based sensitivity analysis for time-dependent processes
RELIABILITY ENGINEERING & SYSTEM SAFETY, 196.
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.
author keywords: Cardiovascular dynamics modeling; Head-up tilt; Pulsatile versus non-pulsatile modeling; Parameter estimation; Orthostatic intolerance
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.
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.
author keywords: Neurovascular coupling; Global sensitivity analysis; Model parameters
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.
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.
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.
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.
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.
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.
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.
author keywords: One-dimensional model; Arterial tree; Outflow boundary conditions; Windkessel model; Structured-tree model; Pressure wave
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).
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.
author keywords: hemodynamics; boundary conditions; autoregulation; impedance; vascular trees
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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).
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Source: Web Of Science
Added: August 6, 2018
