Results 81 to 90 of about 60,735 (247)

Eigenproblem for Jacobi matrices: hypergeometric series solution [PDF]

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2007
We study the perturbative power series expansions of the eigenvalues and eigenvectors of a general tridiagonal (Jacobi) matrix of dimension d . The (small) expansion parameters are the entries of the two diagonals of length d −1 sandwiching the principal diagonal that gives the unperturbed ...
Kuznetsov, Vadim B., Sklyanin, Evgeny K.
openaire   +3 more sources

Efficient Robust Spontaneous Parametric Down‐Conversion via Detuning Modulated Composite Segments Designs

Laser &Photonics Reviews, EarlyView.
Detuning modulated composite segmentation (DMCS) enables robust spontaneous parametric down‐conversion with sevenfold improved temperature stability compared to conventional designs, opening new possibilities for stable quantum photon sources. ABSTRACT Spontaneous parametric down conversion (SPDC) holds a pivotal role in quantum physics, facilitating ...
Muhammad Erew, Yuval Reches, Ofir Yesharim, Moshe Goldstein, Ady Arie, Haim Suchowski   +5 more
wiley   +1 more source

A reliable computational approach for fractional isothermal chemical model

Alexandria Engineering Journal
This article analyzes and computes numerical solutions for the fractional isothermal chemical (FIC) model. This work suggested a Jacobi collocation method (JCM) to examine the FIC model.
Devendra Kumar, Hunney Nama, Dumitru Baleanu   +2 more
doaj   +1 more source

Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics

Advanced Quantum Technologies, EarlyView.
Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams, Antonio A. Gentile, Vincent E. Elfving, Daniel Berger, Oleksandr Kyriienko   +4 more
wiley   +1 more source

Construction of Fractional Pseudospectral Differentiation Matrices with Applications

Axioms
Differentiation matrices are an important tool in the implementation of the spectral collocation method to solve various types of problems involving differential operators.
Wenbin Li, Hongjun Ma, Tinggang Zhao
doaj   +1 more source

Implementing Multistage Transdisciplinary Modeling for Policy Interventions: An Approach to System Dynamics and Stakeholder Discourse to Maximize Impacts in Austrian Grassroots Sports

Systems Research and Behavioral Science, EarlyView.
ABSTRACT Efficient allocation of financial resources through policy interventions is vital for fostering grassroots sports and promoting preventive health measures. However, the intricacies of impact‐oriented grassroots sports subsidies are shaped by factors within a specific funding cascade and the broader societal context.
Liliya Satalkina, Nicole Hynek, Gerald Steiner   +2 more
wiley   +1 more source

The Stenger conjectures and the A-stability of collocation Runge-Kutta methods

Journal of Inequalities and Applications, 2023
Stenger conjectures are claims about the location of the eigenvalues of matrices whose elements are certain integrals involving basic Lagrange interpolating polynomials supported on the zeros of orthogonal polynomials. In this paper, we show the validity
Rachid Ait-Haddou, Hoda Alselami
doaj   +1 more source

Macroscopic Market Making Games

Mathematical Finance, EarlyView.
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley   +1 more source

Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters

PAMM, Volume 26, Issue 1, March 2026.
ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
wiley   +1 more source

Mechanical, Thermal, and Morphological Properties of PA/NBR TPVs: Influence of Processing Conditions and Recyclability

Journal of Applied Polymer Science, Volume 143, Issue 8, February 20, 2026.
Dynamic vulcanization at higher shear rates refines PA/NBR morphology, reduces domain size, and maintains mechanical performance after reprocessing. ABSTRACT Thermoplastic vulcanizates (TPVs) of polyamide 6 and nitrile butadiene rubber (PA/NBR) present excellent mechanical properties but traditionally suffer from performance loss during re‐melt ...
André Luís dos Santos da Silva, Marly A. Maldaner Jacobi, Enio Cesar Machado Fagundes, Fabricio Celso, Otávio Bianchi   +4 more
wiley   +1 more source