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Works (44)
Updated: April 4th, 2024 20:03
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
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
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
MeSH headings : Autonomic Nervous System; Blood Pressure; Data Science; Heart Rate; Humans; Orthostatic Intolerance / diagnosis; Syncope / diagnosis; Tilt-Table Test
TL;DR:
This study uses machine learning to categorize patients with orthostatic intolerance and shows that machine learning can provide accurate classification of disease groups for 98% of patients and two subgroups within the control patients differentiated by their BP response.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
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
TL;DR:
A full justification of the above approach in the case of variance based methods provided the surrogate model results from the original one through the thermodynamic limit is provided.
(via Semantic Scholar)
open access via arxiv.org (repository)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: May 3, 2021
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
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
TL;DR:
It is shown that mathematical modeling can be used to predict changes in cardiac contractility, vascular resistance, and arterial compliance, quantities that cannot be measured but are useful to assess the system’s state.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries, 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, NC State University Libraries
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
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
TL;DR:
Global sensitivity analysis provides a measure of the influence of each parameter, for each of the three QoIs, giving insight into areas of possible physiological dysfunction and areas of further investigation.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
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
TL;DR:
The robustness of the Sobol' indices, a commonly used tool in GSA, to changes in the distribution of the uncertain variables is analyzed, which requires minimal user specification and no additional evaluations of the model.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
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
TL;DR:
A novel method which uses "optimal perturbations" of the marginal probability density functions to analyze the robustness of the Sobol' indices is presented.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(OpenAlex)
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 10, 2020
2019 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
TL;DR:
A variance-based method is developed that leverages the correlation structure of the problems under study and employs surrogate models to accelerate the computations and analyzes errors resulting from fixing unimportant uncertain parameters to their nominal values through a priori estimates.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: March 16, 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
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
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
TL;DR:
A new semi-local formulation based on a modified large-eddy diffusivity (LED) approach is proposed; the formulation retains most of the accuracy of a fully nonlocal approach while presenting the same order of algorithmic complexity as the standard LED approach.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
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
TL;DR:
This work presents a new global sensitivity analysis approach for stochastic models, i.e., models with both uncertain parameters and intrinsic Stochasticity, which relies on an analysis of variance through a generalization of Sobol' indices and on the use of surrogate models.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
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
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
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
MeSH headings : Arteries / physiology; Blood Pressure; Hemodynamics; Humans; Models, Cardiovascular
TL;DR:
It is suggested that the method adopted for modeling the outflow boundary conditions has considerable influence on the performance of a 1D arterial tree model, with the extent of influence varying with the properties of the arterial system.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
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).
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
TL;DR:
A cerebral blood flow estimator is constructed based on transcranial Doppler blood flow velocity and ten other easily available patient characteristics and clinical parameters to test the hypothesis that perfusion in a given cerebral territory can be inferred from Blood Flow Velocity measurements in the corresponding stem artery.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
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
MeSH headings : Algorithms; Aorta / physiology; Blood Vessels / physiology; Cerebral Arteries / physiology; Circle of Willis / physiology; Hemodynamics; Humans; Models, Cardiovascular
TL;DR:
A novel way to incorporate autoregulation mechanisms in structured arterial trees at minimal computational cost is described and illustrated and validated on several examples through comparison with clinical data.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
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
TL;DR:
This study proposes a new physiologically-based outflow boundary condition for hemodynamics under general transient regimes that has better stability properties and provides a partial justification for using some of these existing conditions beyond the periodic problems for which they were designed.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
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
TL;DR:
The notion of angle of repose for granular materials is explored and the free surface problems for centrifuged granular piles are solved.
(via Semantic Scholar)
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
TL;DR:
This work proposes an alternative derivation of the structured tree boundary condition that is considerably simpler than the original one and yields similar, but not identical, results.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2010 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
TL;DR:
A simple mathematical model of laser drilling is proposed, assuming axi-symmetry of the process around the axis of the laser beam, and a one-dimensional formulation is obtained after cross-sectional averaging.
(via Semantic Scholar)
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, 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.
author keywords: blood flow; viscoelastic arteries; fluid-structure interaction; Kalman filtering
TL;DR:
A numerical model based on one-dimensional balance laws and ad hoc zero-dimensional boundary conditions is tested against experimental data and demonstrates the viability of the proposed approach on the circle of Willis, a vital subnetwork of the cerebral vasculature.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
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
TL;DR:
The numerical solution of the free boundary Bernoulli problem is addressed and an iterative method based on a level-set formulation and boundary element method is proposed.
(via Semantic Scholar)
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
TL;DR:
The numerical results indicate that there are weak solutions to the Navier–Stokes system in two and three space dimensions, which display formation of vacuum when the initial data are discontinuous and sufficiently large.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science)
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).
TL;DR:
Experimental evidence for secondary, azimuthal circulation in response to perturbation of the symmetry with respect to gravity by tilting is found and the secondary circulation can be suppressed as wall friction is varied, also in agreement with numerical predictions.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2006 article
A study of numerical methods for the level set approach
APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 837–846.
TL;DR:
Two types of reinitialization methods are studied: a high order ''PDE'' approach and a second order Fast Marching method, with emphasis on the tube/narrow band implementation and accuracy considerations.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, 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.
author keywords: Hamilton-Jacobi; eikonal; viscosity solution; fast marching; fast sweeping
TL;DR:
A computational study of the fast marching and the fast sweeping methods for the eikonal equation and fully second order generalizations of methods of this type for problems with obstacles are proposed and implemented.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
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
TL;DR:
Results indicate that for slow granular flows the lesser known Matsuoka-Nakai plasticity law yields better results than more common models based on a von Mises criterion.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2004 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
Secondary circulation in granular flow through nonaxisymmetric hoppers
SIAM JOURNAL ON APPLIED MATHEMATICS, 64(2), 583–600.
author keywords: granular; similarity solution; perturbation theory
TL;DR:
This paper uses perturbation theory to compute a first-order correction to the (steady-state) velocity resulting from a small change in hopper geometry, either distortion of the cross section or tilting away from vertical.
(via Semantic Scholar)
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
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
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.
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions
(OpenAlex)
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.
TL;DR:
A numerical method based on a formulation of the semidiscretized problem as an index 1 DAE is proposed and implemented and the feasibility of the approach is illustrated by computational results.
(via Semantic Scholar)
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
UN Sustainable Development Goal Categories
15. Life on Land
(OpenAlex)
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, 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.
author keywords: Hamilton-Jacobi; viscosity solution; nonconvex; systems; numerical viscosity
TL;DR:
This paper is devoted to the construction of numerical methods for the approximation of nonclassical solutions to multidimensional Hamilton--Jacobi equations for both scalar and vectorial problems, and the convergence of the methods is investigated.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
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
TL;DR:
It is shown that nonconsistent schemes can converge at optimal rates of $(\Delta x)^{1/2}$ because the conservation form of the schemes and the so-called consistency of the numerical fluxes allow the regularity properties of the approximate solution to compensate for their lack of consistency.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land
(OpenAlex)
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
TL;DR:
This paper obtains the optimal rate of convergence of (Δx) 1/2 in L∞(L 1 ) for consistent schemes in arbitrary grids without the use of any regularity property of the approximate solution, and proposes a new explanation of this well-known supraconvergence phenomenon.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land
(OpenAlex)
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
TL;DR:
New a posteriors error estimates are obtained and these estimates are used to prove that the SCSD method and the SCDG method converge to the entropy solution with a rate of at least $h^{{1 / 8}} $ and $h-norm $, respectively, in the L^\infty (L^1 )-norm.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land
(OpenAlex)
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
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