Displaying works **141 - 160** of **164** in total

Sorted by most recent date added to the index first, which may not be the same as publication date order.

2020 journal article

Nonlinear power-like iteration by polar decomposition and its application to tensor approximation

*NUMERISCHE MATHEMATIK*, *144*(4), 729–749.

Contributors: B. Dong ^{*}, N. Jiang ^{*} & M. Chu^{ n}

Sources: Web Of Science, ORCID

Added: April 6, 2020

2020 journal article

Darboux transformations and Fay identities for the extended bigraded Toda hierarchy*

*JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL*, *53*(6).

UN Sustainable Development Goal Categories

14. Life Below Water
(Web of Science)

Source: Web Of Science

Added: April 6, 2020

2020 journal article

A mixed boundary value problem for u(xy) = f (x , y, u, u(x), u(y))

*JOURNAL OF DIFFERENTIAL EQUATIONS*, *268*(12), 7535–7560.

Contributors: H. Jenssen^{*} & I. Kogan^{ n}

Sources: Web Of Science, ORCID

Added: April 6, 2020

2020 journal article

Toward Predicting the Spatio-Temporal Dynamics of Alopecia Areata Lesions Using Partial Differential Equation Analysis

*BULLETIN OF MATHEMATICAL BIOLOGY*, *82*(3).

author keywords: Partial differential equations (PDEs); Alopecia areata; Autoimmunity; Hair loss

MeSH headings : Alopecia Areata / etiology; Alopecia Areata / immunology; Alopecia Areata / pathology; Animals; Autoimmune Diseases / etiology; Autoimmune Diseases / immunology; Autoimmune Diseases / pathology; Computer Simulation; Cytokines / immunology; Disease Models, Animal; Hair Follicle / immunology; Hair Follicle / pathology; Humans; Interferon-gamma / immunology; Linear Models; Mathematical Concepts; Mice; Models, Biological; Spatio-Temporal Analysis; T-Lymphocytes / immunology

TL;DR:
A model of partial differential equations (PDEs) is developed to describe the spatio-temporal dynamics of immune system components that clinical and experimental studies show are primarily involved in the disease development of alopecia areata.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

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

Source: Web Of Science

Added: March 30, 2020

2020 journal article

Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C

*JOURNAL OF MATHEMATICAL PHYSICS*, *61*(3).

Sources: Web Of Science, ORCID

Added: March 30, 2020

2020 journal article

Learning partial differential equations for biological transport models from noisy spatio-temporal data

author keywords: numerical differentiation; equation learning; sparse regression; partial differential equations; parameter estimation; biological transport

TL;DR:
It is shown that the ANN methodology outperforms previous denoising methods, including finite differences and both local and global polynomial regression splines, in the ability to accurately approximate partial derivatives and learn the correct PDE model.
(via Semantic Scholar)

Source: Web Of Science

Added: March 30, 2020

2020 journal article

Lethal and sublethal effects of toxicants on bumble bee populations: a modelling approach

*ECOTOXICOLOGY*, *29*(3), 237–245.

author keywords: Hymenoptera; Neonicitinoid; Delay differential equation

MeSH headings : Agriculture; Animals; Bees / physiology; Ecosystem; Environmental Monitoring; Hazardous Substances / toxicity; Neonicotinoids / toxicity; Pesticides / toxicity; Pollination

TL;DR:
A delay differential equation (DDE) model is used, which requires fewer parameter estimations than agent-based models while affording the ability to explicitly describe the effect of larval incubation and colony history on population outcomes.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

15. Life on Land
(Web of Science; OpenAlex)

Source: Web Of Science

Added: March 16, 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, ORCID

Added: March 16, 2020

2020 journal article

Differential Signatures of Algebraic Curves

*SIAM Journal on Applied Algebra and Geometry*.

author keywords: algebraic curves; projective action; affine action; Euclidean action; equivalence classes of curves; differential invariants; classifying invariants; signatures; Fermat curves

TL;DR:
The differential signature construction is adapted to the equivalence problem for complex plane algebraic curves under the actions of the projective group and its subgroups and it is proved that for any $G$-action, there exists a pair of rational differential invariants, called classifying invariant, that can be used to construct signatures.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

14. Life Below Water
(Web of Science)

Source: ORCID

Added: March 11, 2020

2020 journal article

Vortex boundaries as barriers to diffusive vorticity transport in two-dimensional flows

*PHYSICAL REVIEW FLUIDS*, *5*(2).

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science)

14. Life Below Water
(Web of Science)

Sources: Web Of Science, ORCID

Added: March 10, 2020

2020 journal article

FINANCING STRATEGIES FOR A CAPITAL-CONSTRAINED SUPPLIER UNDER YIELD UNCERTAINTY

*JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION*, *16*(2), 887–909.

UN Sustainable Development Goal Categories

12. Responsible Consumption and Production
(Web of Science)

Source: Web Of Science

Added: March 10, 2020

2020 journal article

Time optimal control based on classification of quantum gates

*QUANTUM INFORMATION PROCESSING*, *19*(3).

UN Sustainable Development Goal Categories

9. Industry, Innovation and Infrastructure
(Web of Science)

Sources: Web Of Science, ORCID

Added: February 27, 2020

2020 journal article

Poincare series, exponents of affine Lie algebras, and McKay-Slodowy correspondence

*JOURNAL OF ALGEBRA*, *546*, 135–162.

author keywords: Poincare series; Tensor algebras; Invariants; McKay-Slodowy correspondence

Sources: Web Of Science, ORCID

Added: February 27, 2020

2020 journal article

Mesh independence of the generalized Davidson algorithm

*Journal of Computational Physics*, *409*, 109322.

author keywords: Generalized Davidson algorithm; Mesh independence; Neutron transport; Electronic structure computations

TL;DR:
Conditions under which the generalized Davidson algorithm for eigenvalue computations is mesh-independent are given, which means that the iteration statistics of a sequence of discretizations of a problem in a Banach space converge the statistics for the infinite-dimensional problem.
(via Semantic Scholar)

Source: ORCID

Added: February 21, 2020

2020 journal article

Separability criteria based on Bloch representation of density matrices

*QUANTUM INFORMATION PROCESSING*, *19*(1).

author keywords: Separability; Bloch vector; Entanglement

UN Sustainable Development Goal Categories

9. Industry, Innovation and Infrastructure
(Web of Science)

Sources: Web Of Science, ORCID

Added: February 17, 2020

2020 journal article

Neutral competition in a deterministically changing environment: Revisiting continuum approaches

*JOURNAL OF THEORETICAL BIOLOGY*, *486*.

MeSH headings : Population Dynamics; Probability

TL;DR:
A classical, competitive Moran model is extended to incorporate an environment that fluctuates periodically in time to investigate the effects of the magnitude and frequency of environmental fluctuations on two important population statistics: the probability of fixation and the mean time to fixation.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

15. Life on Land
(Web of Science; OpenAlex)

Sources: Web Of Science, ORCID

Added: February 10, 2020

2020 journal article

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver

*MATHEMATICAL BIOSCIENCES*, *319*.

author keywords: Nonautonomous delay differential equation; Transcritical bifurcation; Hopf bifurcation; Postural orthostatic tachycardia syndrome (POTS); Cardiovascular regulation

MeSH headings : Adult; Autonomic Nervous System / physiology; Autonomic Nervous System / physiopathology; Blood Pressure / physiology; Heart Rate / physiology; Humans; Models, Neurological; Models, Theoretical; Postural Orthostatic Tachycardia Syndrome / physiopathology; Valsalva Maneuver / physiology

TL;DR:
Analysis of a nonlinear, nonautonomous, nonhomogeneous open-loop neurological control model describing the autonomic nervous system response to the Valsalva maneuver suggests that instability caused from overactive sympathetic signaling may result in autonomic dysfunction.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

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

Source: Web Of Science

Added: February 3, 2020

2020 journal article

INITIAL GUESS SENSITIVITY IN COMPUTATIONAL OPTIMAL CONTROL PROBLEMS

*NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION*, *10*(1), 39–43.

author keywords: Optimal control; initial guesses; interior point methods; IPOPT; G-POPS II

TL;DR:
An optimal control problem is presented that exhibited unexpected initial guess dependence when being solved with direct transcription methods and the cautionary tale it provides is presented.
(via Semantic Scholar)

Sources: Web Of Science, ORCID

Added: January 27, 2020

2020 journal article

Correctly modeling plant-insect-herbivore-pesticide interactions as aggregate data

*MATHEMATICAL BIOSCIENCES AND ENGINEERING*, *17*(2), 1743–1756.

author keywords: plant-insect interactions; inverse problems; hypothesis testing and standard errors in dynamical models; aggregate data; Prohorov metric

MeSH headings : Animals; Aphids; Herbivory; Insecta; Pesticides; Population Dynamics

TL;DR:
A population dynamics model is considered in investigating data from controlled experiments with aphids in broccoli patches surrounded by different margin types (bare or weedy ground) and three levels of insecticide spray and correctly model the data as aggregate data.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

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

Source: Web Of Science

Added: January 13, 2020

2020 journal article

Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System

*COMMUNICATIONS IN COMPUTATIONAL PHYSICS*, *27*(2), 480–502.

Sources: Web Of Science, ORCID

Added: December 30, 2019

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