Works Published in 2024
Displaying works 41 - 57 of 57 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2024 journal article
Sixth-order hybrid finite difference methods for elliptic interface problems with mixed boundary conditions
JOURNAL OF COMPUTATIONAL PHYSICS, 497.
author keywords: Elliptic interface problems; M-matrix property for any h; High order consistency; Mixed boundary conditions; Corner treatments; Discontinuous and scalar variable coefficients
arxiv.org (repository)
Source: Web Of Science
Added: January 8, 2024
2024 journal article
Local Identifiability Analysis, Parameter Subset Selection and Verification for a Minimal Brain PBPK Model
BULLETIN OF MATHEMATICAL BIOLOGY, 86(2).
author keywords: Parameter subset selection; Local sensitivity analysis; Identifiability; PBPK modeling; Energy statistics
TL;DR:
This work introduces the use of a local sensitivity-based parameter subset selection algorithm in the context of a minimal PBPK (mPBPK) model of the brain for antibody therapeutics to provide a systematic and robust technique to determine identifiable parameter subsets in a PBPK model across a specified time domain of interest.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: January 3, 2024
2024 journal article
The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 128.
author keywords: Nonlinear parabolic equations; Inverse heat conduction problem; Dimensional reduction; Truncation; Fourier series; Polynomial-exponential basis
Sources: Web Of Science, NC State University Libraries
Added: January 2, 2024
2024 journal article
A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem
MATHEMATIKA, 70(1).
Sources: Web Of Science, NC State University Libraries, ORCID
Added: January 2, 2024
2024 journal article
Rational dual certificates for weighted sums-of-squares polynomials with boundable bit size
JOURNAL OF SYMBOLIC COMPUTATION, 121.
author keywords: Polynomial optimization; Nonnegativity certificates; Sums-of-squares decomposition; Computational real algebraic geometry; Conic programming
TL;DR:
This article analyzes the complexity of rational dual certificates of WSOS polynomials by bounding the bit sizes of integer dual certificates as a function of parameters such as the degree and the number of variables of the polynmials, or their distance from the boundary of the cone.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: January 2, 2024
2024 journal article
Semi-infinite construction for the double Yangian of type A<sub>1</sub><SUP>(1)</SUP>
JOURNAL OF ALGEBRA, 638, 465–487.
author keywords: Double Yangian; Semi -infinite construction; Quantum vertex algebra
Sources: Web Of Science, NC State University Libraries
Added: January 2, 2024
2024 journal article
A pressure Poisson equation-based second-order method for solving two-dimensional moving contact line problems with topological changes
COMPUTERS & FLUIDS, 269.
author keywords: Moving contact lines; Topological changes; Immersed interface method; Parametric finite element method; Pressure Poisson equation
Sources: Web Of Science, ORCID
Added: January 2, 2024
2024 journal article
Fast and scalable computation of shape-morphing nonlinear solutions with application to evolutional neural networks
JOURNAL OF COMPUTATIONAL PHYSICS, 498.
author keywords: Partial different i a l equations; Reduced-order modeling; Spectral methods; Neural networks
TL;DR:
Three separate methods are developed to address computational bottlenecks in reduced-order nonlinear solutions (RONS) by making it possible to use RONS for accurate numerical solution of linear and nonlinear PDEs.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: January 2, 2024
2024 journal article
Falling liquid film down a non-uniformly heated slippery inclined plane with odd viscosity effects
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 218.
author keywords: Thin films; Odd viscosity; Wall slip; Thermocapillary effect
Sources: Web Of Science, NC State University Libraries, ORCID
Added: December 11, 2023
2024 journal article
Optimal boundary control of a model thin-film fiber coating model
PHYSICA D-NONLINEAR PHENOMENA, 457.
author keywords: Thin-film equation; Optimal control; Boundary control; PDE control; Distributed parameter systems
Sources: Web Of Science, NC State University Libraries
Added: December 4, 2023
2024 journal article
A positivity-preserving numerical method for a thin liquid film on a vertical cylindrical fiber
JOURNAL OF COMPUTATIONAL PHYSICS, 496.
author keywords: Surface tension; Fiber coating; Positivity preserving; Finite difference scheme
Sources: Web Of Science, NC State University Libraries
Added: December 4, 2023
2024 journal article
A note on Cauchy's formula
ADVANCES IN APPLIED MATHEMATICS, 153.
author keywords: Schur functions; Cauchy's identity; Vertex operator; Charged free bosons
Sources: Web Of Science, NC State University Libraries, ORCID
Added: November 20, 2023
2024 journal article
Segre-driven radicality testing
JOURNAL OF SYMBOLIC COMPUTATION, 122.
author keywords: Radical ideals; Segre class; Rational univariate representation; Testing if a polynomial ideal is radical; Intersection theory; Equidimensional decomposition
TL;DR:
A probabilistic algorithm to test if a homogeneous polynomial ideal I defining a scheme X in Pn is radical using Segre classes and other geometric notions from intersection theory, which includes examples which are often considered pathological.
(via Semantic Scholar)
Source: Web Of Science
Added: November 6, 2023
2024 journal article
The geometry of monotone operator splitting methods (to appear, available on arxiv)
Acta Numerica.
Contributors: P. Combettes
Source: ORCID
Added: November 3, 2023
2024 journal article
Settling a Tomoe-sen: Wrestling with Chip Firing
Math Horizons, 31(1), 12–15.
Source: ORCID
Added: September 8, 2023
2024 journal article
Quantum supergroup Ur,s(osp(1,2)), Scasimir operators and Dickson polynomials
Journal of Algebra and Its Applications.
author keywords: Two-parameter quantum supergroup; center; Dickson polynomial; Scasimir operator
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(Web of Science)
Source: ORCID
Added: September 12, 2022
2024 journal article
An XGBoost-Based Fitted Q Iteration for Finding the Optimal STI Strategies for HIV Patients
IEEE Transactions on Neural Networks and Learning Systems.
author keywords: Viruses (medical); Immune system; Drugs; Numerical models; Subspace constraints; Mathematical models; Load modeling; Fitted Q iteration algorithm; human immunodeficiency virus (HIV); reinforcement learning; structured treatment interruption (STI) strategy; XGBoost regression
TL;DR:
An XGBoost-based fitted Q iteration algorithm is proposed for finding the optimal structured treatment interruption (STI) strategies for HIV patients, and it is shown that this algorithm can obtain acceptable and optimal STI strategies with fewer training data.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Source: ORCID
Added: August 3, 2022
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