Results 61 to 70 of about 14,701 (175)
This paper is devoted to detailed investigations of free scalar field theory on $\kappa$-Minkowski space. After reviewing necessary mathematical tools we discuss in depth the Lagrangian and solutions of field equations.
Amelino-Camelia G. +6 more
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Commutativity of the Leibniz rules in fractional calculus
Many earlier works on the subject of fractional calculus (that is, differentiation and integration of an \textit{arbitrary} real or complex order) provide interesting accounts of the theory and applications of fractional calculus operators in several areas of mathematical analysis (such as ordinary and partial differential equations, integral equations,
Tu, Shih-Tong +2 more
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Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems
ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
wiley +1 more source
Characteristic boundary value problems: estimates from H1 to L2 [PDF]
Motivated by the study of certain non linear free-boundary value problems for hyperbolic systems of partial differential equations arising in Magneto-Hydrodynamics, in this paper we show that an a priori estimate of the solution to certain boundary value
Morando, Alessandro +2 more
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Noncommutative geometry of phase space
A version of noncommutative geometry is proposed which is based on phase-space rather than position space. The momenta encode the information contained in the algebra of forms by a map which is the noncommutative extension of the duality between the ...
Buric, Maja, Madore, John
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Non-commutative Functional Calculus and Spectral Theory
We develop a functional calculus for $d$-tuples of non-commuting elements in a Banach algebra. The functions we apply are free analytic functions, that is nc functions that are bounded on certain polynomial polyhedra.
Agler, Jim, McCarthy, John E.
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Iterative Krylov Subspace Methods for Linear Port‐Hamiltonian Systems
ABSTRACT In this work, we present a structure‐preserving Krylov subspace iteration scheme for solving the equation systems that arise from the Gauss integration of linear energy‐conserving and dissipative differential systems (e.g., Poisson systems, gradient systems, and port‐Hamiltonian systems).
Stefan Maier, Nicole Marheineke
wiley +1 more source
We present a survey of recent results, scattered in a series of papers that appeared during past five years, whose common denominator is the use of cubic relations in various algebraic structures.
Abramov V +19 more
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Coulomb branch algebras via symplectic cohomology
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
Non-commutative Calculus and Discrete Physics
LaTeX document, 56 pages, 1 ...
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