Results 61 to 70 of about 2,335 (226)
Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
wiley +1 more source
ON CUBATURE RULES ASSOCIATED TO WEYL GROUP ORBIT FUNCTIONS
Acta Polytechnica, 2016 The aim of this article is to describe several cubature formulas related to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials associated to root systems.
Lenka Háková +2 more
doaj +1 more source
Generating functions for the Jacobi polynomial [PDF]
Proceedings of the American Mathematical Society, 1976 Two theorems are proved with the aid of operator and series iteration methods. Special cases appear to give new and known generating functions for the Jacobi polynomial.
openaire +2 more sources
Towards data‐driven stochastic predictive control
International Journal of Robust and Nonlinear Control, Volume 35, Issue 7, Page 2588-2610, 10 May 2025.Summary Data‐driven predictive control based on the fundamental lemma by Willems et al. is frequently considered for deterministic LTI systems subject to measurement noise. However, little has been done on data‐driven stochastic control. In this paper, we propose a data‐driven stochastic predictive control scheme for LTI systems subject to possibly ...
Guanru Pan, Ruchuan Ou, Timm Faulwasser
wiley +1 more source
Multiphysics Simulation Methods in Computer Graphics
Computer Graphics Forum, Volume 44, Issue 2, May 2025.Abstract Physics simulation is a cornerstone of many computer graphics applications, ranging from video games and virtual reality to visual effects and computational design. The number of techniques for physically‐based modeling and animation has thus skyrocketed over the past few decades, facilitating the simulation of a wide variety of materials and ...
Daniel Holz +5 more
wiley +1 more source
Spectral analysis for the exceptional Xm-Jacobi equation
Electronic Journal of Differential Equations, 2015 We provide the mathematical foundation for the $X_m$-Jacobi spectral theory. Namely, we present a self-adjoint operator associated to the differential expression with the exceptional $X_m$-Jacobi orthogonal polynomials as eigenfunctions.
Constanze Liaw +2 more
doaj
A Theory of Generalized Coordinates for Stochastic Differential Equations
Studies in Applied Mathematics, Volume 154, Issue 5, May 2025.ABSTRACT Stochastic differential equations are ubiquitous modeling tools in applied mathematics and the sciences. In most modeling scenarios, random fluctuations driving dynamics or motion have some nontrivial temporal correlation structure, which renders the SDE non‐Markovian; a phenomenon commonly known as ‘colored’’ noise.
Lancelot Da Costa +7 more
wiley +1 more source
Decoding a mean field game by the Cauchy data around its unknown stationary states
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract In recent years, mean field games (MFGs) have garnered considerable attention and emerged as a dynamic and actively researched field across various domains, including economics, social sciences, finance, and transportation. The inverse design and decoding of MFGs offer valuable means to extract information from observed data and gain insights ...
Hongyu Liu +2 more
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On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we derive Saigo fractional $q$-integrals of the general class of $q$-polynomials and demonstrate their application by investigating $q$-Konhouser biorthogonal polynomial, $q$-Jacobi polynomials and basic analogue of the Kamp$\acute{e}$ de
Biniyam Shimelis, Dayalal Suthar
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International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 4, April 2025.We propose a constitutive model for active skeletal muscle designed for complex musculoskeletal systems based on a thorough review and comparison of existing approaches. We demonstrate its applicability in various numerical examples, including a large‐scale simulation of a novel continuum shoulder model.
Laura Engelhardt +3 more
wiley +1 more source