@article{gamboa_gremaud_klein_lagnoux_2022, title={Global sensitivity analysis: A novel generation of mighty estimators based on rank statistics}, volume={28}, ISSN={["1573-9759"]}, DOI={10.3150/21-BEJ1421}, number={4}, journal={BERNOULLI}, author={Gamboa, Fabrice and Gremaud, Pierre and Klein, Thierry and Lagnoux, Agnes}, year={2022}, month={Nov}, pages={2345–2374} }
 @article{gilmore_hart_geddes_olsen_mehlsen_gremaud_olufsen_2021, title={Classification of orthostatic intolerance through data analytics}, volume={59}, ISSN={["1741-0444"]}, DOI={10.1007/s11517-021-02314-0}, number={3}, journal={MEDICAL & BIOLOGICAL ENGINEERING & COMPUTING}, author={Gilmore, Steven and Hart, Joseph and Geddes, Justen and Olsen, Christian H. and Mehlsen, Jesper and Gremaud, Pierre and Olufsen, Mette S.}, year={2021}, month={Mar}, pages={621–632} }
 @article{merritt_alexanderian_gremaud_2021, title={MULTISCALE GLOBAL SENSITIVITY ANALYSIS FOR STOCHASTIC CHEMICAL SYSTEMS}, volume={19}, ISSN={["1540-3467"]}, DOI={10.1137/20M1323989}, number={1}, journal={MULTISCALE MODELING & SIMULATION}, author={Merritt, Michael and Alexanderian, Alen and Gremaud, Pierre A.}, year={2021}, pages={440–459} }
 @article{alexanderian_gremaud_smith_2020, title={Variance-based sensitivity analysis for time-dependent processes}, volume={196}, ISSN={["1879-0836"]}, DOI={10.1016/j.ress.2019.106722}, journal={RELIABILITY ENGINEERING & SYSTEM SAFETY}, author={Alexanderian, Alen and Gremaud, Pierre A. and Smith, Ralph C.}, year={2020}, month={Apr} }
 @article{williams_brady_gilmore_gremaud_tran_ottesen_mehlsen_olufsen_2019, title={Cardiovascular dynamics during head-up tilt assessed via pulsatile and non-pulsatile models}, volume={79}, ISSN={0303-6812 1432-1416}, url={http://dx.doi.org/10.1007/s00285-019-01386-9}, DOI={10.1007/s00285-019-01386-9}, number={3}, journal={Journal of Mathematical Biology}, publisher={Springer Science and Business Media LLC}, author={Williams, Nakeya D. and Brady, Renee and Gilmore, Steven and Gremaud, Pierre and Tran, Hien T. and Ottesen, Johnny T. and Mehlsen, Jesper and Olufsen, Mette S.}, year={2019}, month={May}, pages={987–1014} }
 @article{schaeffer_barker_tsuji_gremaud_shearer_gray_2019, title={Constitutive relations for compressible granular flow in the inertial regime}, volume={874}, ISSN={["1469-7645"]}, DOI={10.1017/jfm.2019.476}, journal={JOURNAL OF FLUID MECHANICS}, author={Schaeffer, D. G. and Barker, T. and Tsuji, D. and Gremaud, P. and Shearer, M. and Gray, J. M. N. T.}, year={2019}, month={Sep}, pages={926–951} }
 @article{hart_gremaud_david_2019, title={Global Sensitivity Analysis of High-Dimensional Neuroscience Models: An Example of Neurovascular Coupling}, volume={81}, ISSN={["1522-9602"]}, DOI={10.1007/s11538-019-00578-0}, number={6}, journal={BULLETIN OF MATHEMATICAL BIOLOGY}, author={Hart, J. L. and Gremaud, P. A. and David, T.}, year={2019}, month={Jun}, pages={1805–1828} }
 @article{hart_gremaud_2019, title={ROBUSTNESS OF THE SOBOL' INDICES TO DISTRIBUTIONAL UNCERTAINTY}, volume={9}, ISSN={["2152-5099"]}, DOI={10.1615/Int.J.UncertaintyQuantification.2019030553}, number={5}, journal={INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION}, author={Hart, Joseph and Gremaud, Pierre}, year={2019}, pages={453–469} }
 @article{hart_gremaud_2019, title={Robustness of the Sobol' Indices to Marginal Distribution Uncertainty}, volume={7}, ISSN={["2166-2525"]}, DOI={10.1137/18M123387X}, number={4}, journal={SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION}, author={Hart, Joseph L. and Gremaud, Pierre A.}, year={2019}, pages={1224–1244} }
 @article{hart_gremaud_2018, title={AN APPROXIMATION THEORETIC PERSPECTIVE OF SOBOL' INDICES WITH DEPENDENT VARIABLES}, volume={8}, ISSN={["2152-5099"]}, DOI={10.1615/Int.J.UncertaintyQuantification.2018026498}, number={6}, journal={INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION}, author={Hart, J. L. and Gremaud, P. A.}, year={2018}, pages={483–493} }
 @article{maltba_gremaud_tartakoysky_2018, title={Nonlocal PDF methods for Langevin equations with colored noise}, volume={367}, ISSN={["1090-2716"]}, DOI={10.1016/j.jcp.2018.04.023}, journal={JOURNAL OF COMPUTATIONAL PHYSICS}, author={Maltba, Tyler and Gremaud, Pierre A. and Tartakoysky, Daniel M.}, year={2018}, month={Aug}, pages={87–101} }
 @article{hart_alexanderian_gremaud_2017, title={EFFICIENT COMPUTATION OF SOBOL' INDICES FOR STOCHASTIC MODELS}, volume={39}, ISSN={["1095-7197"]}, DOI={10.1137/16m106193x}, number={4}, journal={SIAM JOURNAL ON SCIENTIFIC COMPUTING}, author={Hart, J. L. and Alexanderian, A. and Gremaud, P. A.}, year={2017}, pages={A1514–A1530} }
 @article{collins_gremaud_2016, title={Analysis of a domain decomposition method for linear transport problems on networks}, volume={109}, ISSN={["1873-5460"]}, DOI={10.1016/j.apnum.2016.06.004}, journal={APPLIED NUMERICAL MATHEMATICS}, author={Collins, J. B. and Gremaud, P. A.}, year={2016}, month={Nov}, pages={61–72} }
 @article{guan_liang_gremaud_2016, title={Comparison of the Windkessel model and structured-tree model applied to prescribe outflow boundary conditions for a one-dimensional arterial tree model}, volume={49}, ISSN={["1873-2380"]}, DOI={10.1016/j.jbiomech.2016.03.037}, number={9}, journal={JOURNAL OF BIOMECHANICS}, author={Guan, Debao and Liang, Fuyou and Gremaud, Pierre A.}, year={2016}, month={Jun}, pages={1583–1592} }
 @article{hart_novak_saunders_gremaud_2016, title={Transcranial Doppler-Based Surrogates for Cerebral Blood Flow: A Statistical Study}, volume={11}, ISSN={["1932-6203"]}, DOI={10.1371/journal.pone.0165536}, number={11}, journal={PLOS ONE}, author={Hart, Joseph and Novak, Vera and Saunders, Charles and Gremaud, Pierre A.}, year={2016}, month={Nov} }
 @article{cousins_gremaud_2014, title={Impedance boundary conditions for general transient hemodynamics}, volume={30}, ISSN={["2040-7947"]}, DOI={10.1002/cnm.2658}, number={11}, journal={INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING}, author={Cousins, Will and Gremaud, Pierre A.}, year={2014}, month={Nov}, pages={1294–1313} }
 @article{gremaud_sun_2014, title={Numerical Study of Singularity Formation in Relativistic Euler Flows}, volume={16}, ISSN={["1991-7120"]}, DOI={10.4208/cicp.221212.300114a}, number={2}, journal={COMMUNICATIONS IN COMPUTATIONAL PHYSICS}, author={Gremaud, Pierre A. and Sun, Yi}, year={2014}, month={Aug}, pages={348–364} }
 @article{cousins_gremaud_tartakovsky_2013, title={A NEW PHYSIOLOGICAL BOUNDARY CONDITION FOR HEMODYNAMICS}, volume={73}, ISSN={["1095-712X"]}, DOI={10.1137/120895470}, number={3}, journal={SIAM JOURNAL ON APPLIED MATHEMATICS}, author={Cousins, Will and Gremaud, Pierre A. and Tartakovsky, Daniel M.}, year={2013}, pages={1203–1223} }
 @article{gordon-wright_gremaud_2013, title={Granular Free Surfaces}, volume={55}, ISSN={["1095-7200"]}, DOI={10.1137/090747944}, number={1}, journal={SIAM REVIEW}, author={Gordon-Wright, Rachael and Gremaud, Pierre A.}, year={2013}, pages={168–184} }
 @article{cousins_gremaud_2012, title={Boundary conditions for hemodynamics: The structured tree revisited}, volume={231}, ISSN={["1090-2716"]}, DOI={10.1016/j.jcp.2012.04.038}, number={18}, journal={JOURNAL OF COMPUTATIONAL PHYSICS}, author={Cousins, W. and Gremaud, P. A.}, year={2012}, month={Jul}, pages={6086–6096} }
 @article{collins_gremaud_2011, title={A simple model for laser drilling}, volume={81}, ISSN={["1872-7166"]}, DOI={10.1016/j.matcom.2010.07.010}, number={8}, journal={MATHEMATICS AND COMPUTERS IN SIMULATION}, author={Collins, Jeb and Gremaud, Pierre}, year={2011}, month={Apr}, pages={1541–1552} }
 @article{shearer_gremaud_kleiner_2009, title={Periodic motion of a mass-spring system}, volume={74}, ISSN={["0272-4960"]}, DOI={10.1093/imamat/hxp032}, number={6}, journal={IMA JOURNAL OF APPLIED MATHEMATICS}, author={Shearer, Michael and Gremaud, Pierre and Kleiner, Kristoph}, year={2009}, month={Dec}, pages={807–826} }
 @article{devault_gremaud_novak_olufsen_vernieres_zhao_2008, title={BLOOD FLOW IN THE CIRCLE OF WILLIS: MODELING AND CALIBRATION}, volume={7}, ISSN={["1540-3467"]}, DOI={10.1137/07070231X}, number={2}, journal={MULTISCALE MODELING & SIMULATION}, author={Devault, Kristen and Gremaud, Pierre A. and Novak, Vera and Olufsen, Mette S. and Vernieres, Guillaume and Zhao, Peng}, year={2008}, pages={888–909} }
 @article{gremaud_kuster_li_2007, title={A study of numerical methods for the level set approach}, volume={57}, ISSN={["0168-9274"]}, DOI={10.1016/j.apnum.2006.07.022}, number={5-7}, journal={APPLIED NUMERICAL MATHEMATICS}, author={Gremaud, Pierre A. and Kuster, Christopher M. and Li, Zhilin}, year={2007}, pages={837–846} }
 @article{kuster_gremaud_touzani_2007, title={Fast numerical methods for Bernoulli free boundary problems}, volume={29}, ISSN={["1064-8275"]}, DOI={10.1137/06065444X}, number={2}, journal={SIAM JOURNAL ON SCIENTIFIC COMPUTING}, author={Kuster, Christopher M. and Gremaud, Pierre A. and Touzani, Rachid}, year={2007}, pages={622–634} }
 @article{devault_gremaud_jenssen_2007, title={Numerical investigation of cavitation in multidimensional compressible flows}, volume={67}, ISSN={["1095-712X"]}, DOI={10.1137/060652713}, number={6}, journal={SIAM JOURNAL ON APPLIED MATHEMATICS}, author={Devault, Kristen J. and Gremaud, Pierre A. and Jenssen, Helge Kristian}, year={2007}, pages={1675–1692} }
 @article{wambaugh_behringer_matthews_gremaud_2007, title={Response to perturbations for granular flow in a hopper}, volume={76}, ISSN={["1550-2376"]}, DOI={10.1103/physreve.76.051303}, number={5}, journal={PHYSICAL REVIEW E}, author={Wambaugh, John F. and Behringer, Robert P. and Matthews, John V. and Gremaud, Pierre A.}, year={2007}, month={Nov} }
 @article{gremaud_kuster_2006, title={Computational study of fast methods for the eikonal equation}, volume={27}, ISSN={["1064-8275"]}, DOI={10.1137/040605655}, number={6}, journal={SIAM JOURNAL ON SCIENTIFIC COMPUTING}, author={Gremaud, PA and Kuster, CM}, year={2006}, pages={1803–1816} }
 @article{gremaud_matthews_schaeffer_2006, title={On the computation of steady hopper flows III: Model comparisons}, volume={219}, ISSN={["0021-9991"]}, DOI={10.1016/j.jcp.2006.03.032}, number={1}, journal={JOURNAL OF COMPUTATIONAL PHYSICS}, author={Gremaud, Pierre A. and Matthews, John V. and Schaeffer, David G.}, year={2006}, month={Nov}, pages={443–454} }
 @article{gremaud_2005, title={Numerical issues in plasticity models for granular materials}, volume={139}, ISSN={["0377-0273"]}, DOI={10.1016/j.jvolgeores.2004.06.018}, number={1-2}, journal={JOURNAL OF VOLCANOLOGY AND GEOTHERMAL RESEARCH}, author={Gremaud, PA}, year={2005}, month={Jan}, pages={23–31} }
 @article{gremaud_matthews_m o'malley_2004, title={On the computation of steady Hopper flows II: von Mises materials in various geometries}, volume={200}, ISSN={["1090-2716"]}, DOI={10.1016/j.jcp.2004.04.021}, number={2}, journal={JOURNAL OF COMPUTATIONAL PHYSICS}, author={Gremaud, PA and Matthews, JV and M O'Malley}, year={2004}, month={Nov}, pages={639–653} }
 @article{ahmed_buckingham_gremaud_hauck_kuster_prodanovic_royal_silantyev_2004, title={Volume determination for bulk materials in bunkers}, volume={61}, ISSN={["0029-5981"]}, DOI={10.1002/nme.1144}, number={13}, journal={INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING}, author={Ahmed, SA and Buckingham, R and Gremaud, PA and Hauck, CD and Kuster, CM and Prodanovic, M and Royal, TA and Silantyev, V}, year={2004}, month={Dec}, pages={2239–2249} }
 @article{coffey_gremaud_2003, title={Numerical simulation of aerated powder consolidation}, volume={38}, ISSN={["0020-7462"]}, DOI={10.1016/S0020-7462(02)00063-X}, number={8}, journal={INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS}, author={Coffey, KA and Gremaud, PA}, year={2003}, month={Oct}, pages={1185–1194} }
 @article{gremaud_matthews_schaeffer_2003, title={Secondary circulation in granular flow through nonaxisymmetric hoppers}, volume={64}, ISSN={["1095-712X"]}, DOI={10.1137/S0036139903415124}, number={2}, journal={SIAM JOURNAL ON APPLIED MATHEMATICS}, author={Gremaud, PA and Matthews, JV and Schaeffer, DG}, year={2003}, pages={583–600} }
 @article{gremaud_kelley_royal_coffey_2001, title={On a powder consolidation problem}, volume={62}, DOI={10.1137/s0036139900368479}, number={1}, journal={SIAM Journal on Applied Mathematics}, author={Gremaud, P. A. and Kelley, C. T. and Royal, T. A. and Coffey, K. A.}, year={2001}, pages={1–20} }
 @article{gremaud_matthews_2001, title={On the computation of steady hopper flows I. Stress determination for Coulomb materials}, volume={166}, ISSN={["1090-2716"]}, DOI={10.1006/jcph.2000.6641}, number={1}, journal={JOURNAL OF COMPUTATIONAL PHYSICS}, author={Gremaud, PA and Matthews, JV}, year={2001}, month={Jan}, pages={63–83} }
 @article{gremaud_schaeffer_shearer_2000, title={Numerical determination of flow corrective inserts for granular materials in conical hoppers}, volume={35}, ISSN={["0020-7462"]}, DOI={10.1016/S0020-7462(99)00064-5}, number={5}, journal={INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS}, author={Gremaud, PA and Schaeffer, DG and Shearer, M}, year={2000}, month={Sep}, pages={869–882} }
 @article{gremaud_ide_1999, title={Computation of nonclassical solutions to Hamilton-Jacobi problems}, volume={21}, ISSN={["1064-8275"]}, DOI={10.1137/S1064827597327668}, number={2}, journal={SIAM JOURNAL ON SCIENTIFIC COMPUTING}, author={Gremaud, PA and Ide, NR}, year={1999}, month={Oct}, pages={502–521} }
 @article{cockburn_gremaud_yang_1998, title={A priori error estimates for numerical methods for scalar conservation laws - Part III: Multidimensional flux-splitting monotone schemes on non-Cartesian grids}, volume={35}, ISSN={["0036-1429"]}, DOI={10.1137/S0036142997316165}, number={5}, journal={SIAM JOURNAL ON NUMERICAL ANALYSIS}, author={Cockburn, B and Gremaud, PA and Yang, JXR}, year={1998}, month={Oct}, pages={1775–1803} }
 @article{gremaud_1997, title={Numerical simulation of pattern formation in grain flows}, volume={84}, ISSN={["0096-3003"]}, DOI={10.1016/S0096-3003(96)00084-7}, number={2-3}, journal={APPLIED MATHEMATICS AND COMPUTATION}, author={Gremaud, PA}, year={1997}, month={Jul}, pages={145–162} }
 @article{cockburn_gremaud_1997, title={a priori error estimates for numerical methods for scalar conservation laws .2. Flux-splitting monotone schemes on irregular Cartesian grids}, volume={66}, ISSN={["1088-6842"]}, DOI={10.1090/S0025-5718-97-00838-7}, number={218}, journal={MATHEMATICS OF COMPUTATION}, author={Cockburn, B and Gremaud, PA}, year={1997}, month={Apr}, pages={547–572} }
 @article{cockburn_gremaud_1996, title={Error estimates for finite element methods for scalar conservation laws}, volume={33}, ISSN={["0036-1429"]}, DOI={10.1137/0733028}, number={2}, journal={SIAM JOURNAL ON NUMERICAL ANALYSIS}, author={Cockburn, B and Gremaud, PA}, year={1996}, month={Apr}, pages={522–554} }
 @article{gremaud_1994, title={NUMERICAL-ANALYSIS OF A NONCONVEX VARIATIONAL PROBLEM RELATED TO SOLID-SOLID PHASE-TRANSITIONS}, volume={31}, ISSN={["0036-1429"]}, DOI={10.1137/0731006}, number={1}, journal={SIAM JOURNAL ON NUMERICAL ANALYSIS}, author={GREMAUD, PA}, year={1994}, month={Feb}, pages={111–127} }
 @article{amiez_gremaud_1992, title={ERROR-ESTIMATES FOR EULER FORWARD SCHEME RELATED TO 2-PHASE STEFAN-PROBLEMS}, volume={26}, ISSN={["1290-3841"]}, DOI={10.1051/m2an/1992260203651}, number={2}, journal={ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE}, author={AMIEZ, G and GREMAUD, PA}, year={1992}, pages={365–383} }