Pierre Gremaud

Works (40)

2020 journal article

Variance-based sensitivity analysis for time-dependent processes

RELIABILITY ENGINEERING & SYSTEM SAFETY, 196.

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

Source: Web Of Science
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, P. Gremaud, H. Tran, J. Ottesen, J. Mehlsen, M. Olufsen

Source: Web Of Science
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, M. Shearer & J. Gray

Source: Web Of Science
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, P. Gremaud & T. David

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

Source: Web Of Science
Added: January 6, 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

Source: NC State University Libraries
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 & D. Tartakoysky

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

2017 journal article

Efficient computation of Sobol' indices for stochastic models

SIAM Journal on Scientific Computing, 39(4), A1514–1530.

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

Source: NC State University Libraries
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

Source: NC State University Libraries
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

Source: NC State University Libraries
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, V. Novak, C. Saunders & P. Gremaud

Source: NC State University Libraries
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

Source: NC State University Libraries
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 & Y. Sun

Source: NC State University Libraries
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

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

2013 journal article

Granular free surfaces

SIAM Review, 55(1), 168–184.

By: R. Gordon-Wright & P. Gremaud

Source: NC State University Libraries
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 & P. Gremaud

Source: NC State University Libraries
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 & P. Gremaud

Source: NC State University Libraries
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, P. Gremaud & K. Kleiner

Source: NC State University Libraries
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, P. Gremaud, V. Novak, M. Olufsen, G. Vernieres & P. Zhao

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

2007 journal article

A study of numerical methods for the level set approach

Applied Numerical Mathematics, 57(5-7), 837–846.

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

Source: NC State University Libraries
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

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

2007 journal article

Response to perturbations for granular flow in a hopper

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 76(5), 051303–051301-0513038.

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

Source: NC State University Libraries
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

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

2006 journal article

Numerical investigation of cavitation in multidimensional compressible flows

SIAM Journal on Applied Mathematics, 67(6), 1675–1692.

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

Source: NC State University Libraries
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, J. Matthews & D. Schaeffer

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

2005 journal article

Numerical issues in plasticity models for granular materials

Journal of Volcanology and Geothermal Research, 139(02-Jan), 23–31.

By: P. Gremaud

Source: NC State University Libraries
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, J. Matthews & M. O'Malley

Source: NC State University Libraries
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, C. Hauck, C. Kuster, M. Prodanovic, T. Royal, V. Silantyev

Source: NC State University Libraries
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 & P. Gremaud

Source: NC State University Libraries
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, J. Matthews & D. Schaeffer

Source: NC State University Libraries
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

Source: NC State University Libraries
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, D. Schaeffer & M. Shearer

Source: NC State University Libraries
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

Source: NC State University Libraries
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

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

1997 journal article

A priori error estimates for numerical methods for scalar conservation laws. Part II, Flux-splitting monotone schemes on irregular Cartesian grids

Mathematics of Computation, 66(218), 547–572.

By: B. Cockburn & P. Gremaud

Source: NC State University Libraries
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

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

1996 journal article

Error estimate for finite element methods for scalar conservation laws

SIAM Journal on Numerical Analysis, 33, 522–554.

By: B. Cockburn & P. Gremaud

Source: NC State University Libraries
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, 111–127.

By: P. Gremaud

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

1992 journal article

Error estimates for Euler forward scheme related to Stefan like problems

RAIRO. Mathematical Modelling and Numerical Analysis, 26, 365–383.

By: P. Gremaud & G. Amiez

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