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Works (43)
Updated: April 5th, 2024 08:58
2023 journal article
A new perspective on parameter study of optimization problems
APPLIED MATHEMATICS LETTERS, 140.
author keywords: Optimization; Post-optimal sensitivity analysis; Inverse problems
arxiv.org (repository)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: February 20, 2023
2022 journal article
Hyper-differential sensitivity analysis for inverse problems governed by ODEs with application to COVID-19 modeling
MATHEMATICAL BIOSCIENCES, 351.
author keywords: Inverse problems; Sensitivity analysis; Uncertainty quantification; Design of experiments; Computational epidemiology
MeSH headings : Algorithms; COVID-19; Humans; Linear Models; Models, Biological; Uncertainty
TL;DR:
This work proposes a linear approximation to the solution of the inverse problem that allows efficiently approximating the statistical properties of the estimated parameters and explores the use of this linear model for approximate global sensitivity analysis.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
9. Industry, Innovation and Infrastructure
(Web of Science)
Source: Web Of Science
Added: September 26, 2022
2022 journal article
MONTE CARLO ESTIMATORS FOR THE SCHATTEN p-NORM OF SYMMETRIC POSITIVE SEMIDEFINITE MATRICES
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 55, 213–241.
author keywords: Schatten p-norm; Monte Carlo estimator; optimal experimental design; Chebyshev polynomials
TL;DR:
A matrix-free method to estimate the Schatten $p$-norm using a Monte Carlo estimator and derive convergence results and error estimates for the estimator is proposed and demonstrated.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: January 31, 2022
2022 journal article
Using ultrasonic attenuation in cortical bone to infer distributions on pore size
APPLIED MATHEMATICAL MODELLING, 109, 819–832.
author keywords: Ultrasound; Cortical bone; Polydisperse; Waterman truell; Inverse problems; Variational regularization
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
5. Gender Equality
(Web of Science)
Source: Web Of Science
Added: June 27, 2022
2021 journal article
Global sensitivity analysis informed model reduction and selection applied to a Valsalva maneuver model
JOURNAL OF THEORETICAL BIOLOGY, 526.
MeSH headings : Bayes Theorem; Blood Pressure; Heart Rate; Valsalva Maneuver
TL;DR:
This study compares four GSA methods based on Sobol' indices (SIs) quantifying the parameter influence on the difference between the model output and the heart rate data and shows that it is necessary to incorporate both the aortic and carotid regions to model the VM.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Source: Web Of Science
Added: July 26, 2021
2021 journal article
Inferring pore radius and density from ultrasonic attenuation using physics-based modeling
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 149(1), 340–347.
MeSH headings : Bone Density; Bone and Bones; Cortical Bone / diagnostic imaging; Porosity; Ultrasonics; Ultrasonography
TL;DR:
This work validates the use of both the ISA and WT approximations to model ultrasonic wave attenuation in heterogeneous structures mimicking cortical bone, and illustrates the effectiveness of both models in inferring pore radius and density solely from ultrasonic attenuation data.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
5. Gender Equality
(Web of Science)
Source: Web Of Science
Added: February 15, 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
2021 journal article
Optimal Design of Large-scale Bayesian Linear Inverse Problems Under Reducible Model Uncertainty: Good to Know What You Don't Know
SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 9(1), 163–184.
author keywords: optimal experimental design; Bayesian inference; inverse problems; model uncertainty; sensor placement; sparsified designs
TL;DR:
This work derives a marginalized A-optimality criterion and develops an efficient computational approach for its optimization of infinite-dimensional Bayesian linear inverse problems governed by partial differential equations that contain secondary reducible model uncertainties, in addition to the uncertainty in the inversion parameters.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: May 10, 2021
2021 review
Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: a review
[Review of ]. INVERSE PROBLEMS, 37(4).
author keywords: optimal experimental design; inverse problem; Bayesian inference in Hilbert space; sensor placement
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: April 5, 2021
2021 article
Structure exploiting methods for fast uncertainty quantification in multiphase flow through heterogeneous media
Cleaves, H., Alexanderian, A., & Saad, B. (2021, September 8). COMPUTATIONAL GEOSCIENCES.
author keywords: Uncertainty quantification; Surrogate models; Dimension reduction; Multiphase flow; Sensitivity analysis; Spectral representations
TL;DR:
A computational framework for dimension reduction and surrogate modeling to accelerate uncertainty quantification in computationally intensive models with high-dimensional inputs and function-valued outputs and demonstrates the effectiveness of the proposed surrogate modeling approach with a comprehensive set of numerical experiments.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: September 20, 2021
2020 journal article
A Distributed Active Subspace Method for Scalable Surrogate Modeling of Function Valued Outputs
JOURNAL OF SCIENTIFIC COMPUTING, 85(2).
author keywords: Distributed active subspace; Karhunen– Loè ve expansion; Dimension reduction; Function valued outputs; Porous medium flow; Biotransport
TL;DR:
An error estimate is provided that quantifies errors due to active subspace projection and truncated KL expansion of the output of the model output and the numerical performance of the surrogate modeling approach is demonstrated with an application example from biotransport.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: November 24, 2020
2020 journal article
Hyper-differential sensitivity analysis for inverse problems constrained by partial differential equations
INVERSE PROBLEMS, 36(12).
author keywords: inverse problems; sensitivity analysis; design of experiments; subsurface flow; model uncertainty
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: December 21, 2020
2020 journal article
Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs
INVERSE PROBLEMS, 36(7).
author keywords: optimal design; inverse problems; model uncertainty; optimization under uncertainty; model reduction; subsurface flow
TL;DR:
A novel formulation of the A-optimal design objective that requires the trace of an operator in the observation rather than the parameter space and is enforced using a weighted regularized ℓ0-sparsification approach.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 3, 2020
2020 journal article
RANDOMIZATION AND REWEIGHTED l(1)-MINIMIZATION FOR A-OPTIMAL DESIGN OF LINEAR INVERSE PROBLEMS
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 42(3), A1714–A1740.
author keywords: Bayesian inversion; A-optimal experimental design; large-scale ill-posed inverse problems; randomized matrix methods; reweighted l(1) minimization; uncertainty quantification
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 10, 2020
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
Active subspace-based dimension reduction for chemical kinetics applications with epistemic uncertainty
COMBUSTION AND FLAME, 204, 152–161.
author keywords: Chemical kinetics; Epistemic uncertainty; Active subspace; Dimension reduction; Surrogate
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: June 17, 2019
2019 journal article
DERIVATIVE-BASED GLOBAL SENSITIVITY ANALYSIS FOR MODELS WITH HIGH-DIMENSIONAL INPUTS AND FUNCTIONAL OUTPUTS
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 41(6), A3524–A3551.
author keywords: global sensitivity analysis; DGSMs; functional Sobol' indices; Karhunen-Loeve expansions
TL;DR:
A framework for derivative-based global sensitivity analysis (GSA) for models with high-dimensional input parameters and functional outputs is presented and the strategy for a nonlinear ODE model of cholera epidemics and for elliptic PDEs is illustrated.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 3, 2020
2019 journal article
Efficient Marginalization-Based MCMC Methods for Hierarchical Bayesian Inverse Problems
SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 7(3), 1105–1131.
author keywords: Markov chain Monte Carlo; hierarchical Bayesian approach; inverse problems; one-block algorithm; low-rank approximations
TL;DR:
This paper combines the low-rank techniques of Brown, Saibaba, and Vallelian (2018) with the marginalization approach of Rue and Held (2005), and considers two variants of this approach: delayed acceptance and pseudo-marginalization.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(OpenAlex)
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: October 14, 2019
2019 journal article
Model Input and Output Dimension Reduction Using Karhunen-Loeve Expansions With Application to Biotransport
ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS PART B-MECHANICAL ENGINEERING, 5(4).
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: January 27, 2020
2019 journal article
Sensitivity-Driven Adaptive Construction of Reduced-space Surrogates
JOURNAL OF SCIENTIFIC COMPUTING, 79(2), 1335–1359.
author keywords: Global sensitivity analysis; Polynomial chaos; Parameter screening; Surrogate modeling
TL;DR:
It is observed that significant computational gains can be attained by constructing accurate low-dimensional surrogates using the proposed framework.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: May 6, 2019
2018 journal article
EFFICIENT D-OPTIMAL DESIGN OF EXPERIMENTS FOR INFINITE-DIMENSIONAL BAYESIAN LINEAR INVERSE PROBLEMS
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 40(5), A2956–A2985.
author keywords: Bayesian inversion; D-optimal experimental design; large-scale ill-posed inverse problems; randomized matrix methods; low-rank approximation; uncertainty quantification
TL;DR:
A computational framework for D-optimal experimental design for PDE-based Bayesian linear inverse problems with infinite-dimensional parameters is developed, to use randomized estimators for computing the D-Optimal criterion, its derivative, as well as the Kullback--Leibler divergence from posterior to prior.
(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: November 19, 2018
2018 journal article
Goal-oriented optimal design of experiments for large-scale Bayesian linear inverse problems
INVERSE PROBLEMS, 34(9).
author keywords: design of experiments; inverse problems; sensor placement; data assimilation
TL;DR:
This work develops a framework for goal-oriented optimal design of experiments (GOODE) for large-scale Bayesian linear inverse problems governed by PDEs, and develops an efficient gradient-based optimization framework for solving the GOODE optimization problems.
(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: October 19, 2018
2018 journal article
Probabilistic modeling and global sensitivity analysis for CO2 storage in geological formations: a spectral approach
APPLIED MATHEMATICAL MODELLING, 53, 584–601.
author keywords: Carbon sequestration; Multiphase flow; Risk assessment; Parametric uncertainty; Polynomial chaos; Sensitivity analysis
TL;DR:
This work focuses on the simulation of CO_2 storage in deep underground formations under uncertainty and seeks to understand the impact of uncertainties in reservoir properties on leakage by characterizing the distributions of model observables and compute probabilities of excess $CO_2$ leakage.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2017 journal article
A-optimal encoding weights for nonlinear inverse problems, with application to the Helmholtz inverse problem
INVERSE PROBLEMS, 33(7).
author keywords: source encoding; Bayesian nonlinear inverse problem; A-optimal experimental design; randomized trace estimator; Helmholtz equation
TL;DR:
A Bayesian formulation for the definition and computation of encoding weights that lead to a parameter reconstruction with the least uncertainty, and derives the adjoint-based expressions for the gradient of the objective function of the optimization problem for finding the A-optimal encoding weights.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(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
2017 journal article
Investigation of Biotransport in a Tumor With Uncertain Material Properties Using a Nonintrusive Spectral Uncertainty Quantification Method
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 139(9).
author keywords: uncertain permeability and porosity; statistical modeling; mass transportation; uncertainty quantification; Karhunen-Loeve expansion; polynomial chaos; nonintrusive spectral projection; sparse quadrature
MeSH headings : Biological Transport; Models, Biological; Nanoparticles; Neoplasms / diagnostic imaging; Neoplasms / metabolism; Permeability; Porosity; Pressure; Uncertainty; X-Ray Microtomography
TL;DR:
It is demonstrated that the developed UQ approach can effectively quantify the flow uncertainties induced by uncertain material properties of the tumor.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2017 journal article
Mean-Variance Risk-Averse Optimal Control of Systems Governed by PDEs with Random Parameter Fields Using Quadratic Approximations
SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 5(1), 1166–1192.
author keywords: optimization under uncertainty; PDE-constrained optimization; optimal control; risk-aversion; PDEs with random coefficients; Gaussian measure; Hessian; trace estimators
TL;DR:
This work considers an objective function that involves the mean and variance of the control objective, leading to a risk-averse optimal control problem, which is formulated as a PDE-constrained optimization problem with constraints given by the forward and adjoint PDEs defining these gradients and Hessians.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2017 journal article
Randomized matrix-free trace and log-determinant estimators
NUMERISCHE MATHEMATIK, 137(2), 353–395.
Contributors: A. Saibaba n , n & I. Ipsen n
TL;DR:
Random algorithms for estimating the trace and determinant of Hermitian positive semi-definite matrices and the error due to randomization are presented, for starting guesses whose elements are Gaussian or Rademacher random variables.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2017 journal article
Stability of Nonlinear Convection-Diffusion-Reaction Systems in Discontinuous Galerkin Methods
JOURNAL OF SCIENTIFIC COMPUTING, 70(2), 516–550.
author keywords: Stability analysis; Nonlinear; von Neumann; Discontinuous Galerkin; Runge-Kutta methods; RKSSP; RKC; Convection-Reaction-Diffusion
UN Sustainable Development Goal Categories
13. Climate Action
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2016 journal article
A Fast and Scalable Method for A-Optimal Design of Experiments for Infinite-dimensional Bayesian Nonlinear Inverse Problems
SIAM Journal on Scientific Computing, 38(1), A243–A272.
author keywords: optimal experimental design; A-optimal design; Bayesian inference; sensor placement; nonlinear inverse problems; randomized trace estimator; sparsified designs
TL;DR:
This work constructs a Gaussian approximation to the posterior at the maximum a posteriori probability (MAP) point, and uses the resulting covariance operator to define the OED objective function, which is derived by generalizing the classical A-optimal experimental design criterion.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, Crossref
Added: August 6, 2018
2016 journal article
On Bayesian A- and D-Optimal Experimental Designs in Infinite Dimensions
BAYESIAN ANALYSIS, 11(3), 671–695.
author keywords: Bayesian inference in Hilbert space; Gaussian measure; Kullback-Leibler divergence; Bayesian optimal experimental design; expected information gain; Bayes risk
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
EXPOSITORY PAPER: A PRIMER ON HOMOGENIZATION OF ELLIPTIC PDES WITH STATIONARY AND ERGODIC RANDOM COEFFICIENT FUNCTIONS
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 45(3), 703–735.
author keywords: Homogenization; random media; ergodic dynamical system; stationary random field; diffusion in random media
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2014 journal article
A-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems with Regularized l_0-Sparsification
SIAM Journal on Scientific Computing, 36(5), A2122–A2148.
author keywords: optimal experimental design; A-optimal design; Bayesian inference; sensor placement; ill-posed inverse problems; low-rank approximation; randomized trace estimator; randomized SVD
TL;DR:
It is found that an optimal design can be computed at a cost, measured in number of forward PDE solves, that is independent of the parameter and sensor dimensions.
(via Semantic Scholar)
Source: Crossref
Added: August 18, 2019
2013 journal article
Bayesian Inference of Drag Parameters Using AXBT Data from Typhoon Fanapi
Monthly Weather Review, 141(7), 2347–2367.
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Source: Crossref
Added: July 20, 2019
2013 journal article
On spectral methods for variance based sensitivity analysis
Probability Surveys, 10(0), 51–68.
author keywords: Variance based sensitivity analysis; analysis of variance; spectral methods; generalized polynomial chaos; orthogonal polynomials; conditional expectation
Source: Crossref
Added: July 20, 2019
2013 journal article
Preconditioned Bayesian Regression for Stochastic Chemical Kinetics
Journal of Scientific Computing, 58(3), 592–626.
author keywords: Polynomial chaos; Bayesian regression; Preconditioner; Stochastic simulation algorithm; Chemical kinetics
TL;DR:
A preconditioned Bayesian regression method is developed that enables sparse polynomial chaos representations of noisy outputs for stochastic chemical systems with uncertain reaction rates and enables efficient and robust recovery of both the transient dynamics and the corresponding noise levels.
(via Semantic Scholar)
Source: Crossref
Added: July 20, 2019
2012 journal article
Global sensitivity analysis in an ocean general circulation model: a sparse spectral projection approach
Computational Geosciences, 16(3), 757–778.
UN Sustainable Development Goal Categories
14. Life Below Water
(OpenAlex)
Source: Crossref
Added: July 20, 2019
2012 journal article
Homogenization, Symmetry, and Periodization in Diffusive Random Media
Acta Mathematica Scientia, 32(1), 129–154.
author keywords: homogenization; periodization; random media; ergodic dynamical systems; material symmetry; isotropy
Source: Crossref
Added: July 20, 2019
2012 journal article
Simplified CSP analysis of a stiff stochastic ODE system
Computer Methods in Applied Mechanics and Engineering, 217-220, 121–138.
author keywords: CSP; Stiff system; Uncertain ODE; Polynomial chaos; Random eigenvalues
TL;DR:
A simplified computational singular perturbation (CSP) analysis of a stochastic dynamical system focused on the case of parametric uncertainty, and rely on polynomial chaos representations to quantify its impact.
(via Semantic Scholar)
Source: Crossref
Added: July 20, 2019
2011 journal article
An age-structured model for the spread of epidemic cholera: Analysis and simulation
Nonlinear Analysis: Real World Applications, 12(6), 3483–3498.
author keywords: Epidemic cholera; SIR model; Hyperbolic transport; Finite differences
TL;DR:
The model investigated is given as a system of hyperbolic (first-order) partial differential equations in combination with ordinary differential equations and the contrast of results for high and low rates of shedding of vibrios suggest a possible underlying cause for this effect.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Source: Crossref
Added: July 20, 2019
2011 journal article
Multiscale Stochastic Preconditioners in Non-intrusive Spectral Projection
Journal of Scientific Computing, 50(2), 306–340.
author keywords: Polynomial chaos; Stochastic preconditioner; Non-intrusive spectral projection; Uncertain dynamical system; Stretched measure
TL;DR:
A preconditioning approach is developed that enables efficient polynomial chaos (PC) representations of uncertain dynamical systems based on the definition of an appropriate multiscale stretching of the individual components of the dynamical system.
(via Semantic Scholar)
Source: Crossref
Added: July 20, 2019
2010 journal article
Irreducibility of a Symmetry Group Implies Isotropy
Journal of Elasticity, 102(2), 151–174.
author keywords: Linear elasticity; Isotropy; Symmetry groups; Group representation; Schur's Lemma; Random media
Source: Crossref
Added: July 20, 2019
2009 journal article
JHelioviewer: Visualizing Large Sets of Solar Images Using JPEG 2000
Computing in Science & Engineering, 11(5), 38–47.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
Source: Crossref
Added: July 20, 2019
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