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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.

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)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

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

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

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

2. Zero Hunger
(Web of Science)

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

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.

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

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

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 article

A study of numerical methods for the level set approach

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

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

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).

UN Sustainable Development Goal Categories

10. Reduced Inequalities
(OpenAlex)

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

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

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

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

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

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

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

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.

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.

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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