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High‑Order ADER Discontinuous Galerkin Schemes for a Symmetric Hyperbolic Model of Compressible Barotropic Two‑Fluid Flows: 《Communications on Applied Mathematics and Computation》2024年第4期2119-2154,共36页Laura Río‑Martín Michael Dumbser; Initiative 2018–2027 attributed to DICAM of the University of Trento(grant L.232/2016);the PRIN 2022 project High-order structure-preserving semi-implicit schemes for hyperbolic equations and by the European Union-Next GenerationEU(PNRR,Spoke 7 CN HPC).; This paper presents a high-order discontinuous Galerkin(DG)finite-element method to solve the barotropic version of the conservative symmetric hyperbolic and thermodynamically compatible(SHTC)model of compressible two...; 关键词：Compressible two-fluid flows Symmetric hyperbolic and thermodynamically compatible(SHTC)systems Hyperbolic systems with curl involutions High-order ADER discontinuous Galerkin(DG)schemes with subcell finite-volume limiter Conservative form of hyperbolic models

An Involution over Dyck Paths Related with Stirling Statistics: 《Journal of Mathematical Research with Applications》2024年第4期437-443,共7页Peng CAO Joanna N.CHEN; National Natural Science Foundation of China(Grant No.11701420)。; We construct an involution over Dyck paths,which implies the distribution of statistics“the number of peak”,“the number of returns”and“the height of the last peak”.As an application,equidistributions of several ...; 关键词：INVOLUTIONS Dyck paths PATTERN PEAK returns

Hall Algebras and Quantum Symmetric Pairs of Kac-Moody Type Ⅱ: 《Acta Mathematica Sinica,English Series》2024年第3期806-822,共17页Ming LU Run Ze SHANG; Supported by NSFC(Grant No.12171333)。; We extend the ■Hall algebra realization of ■quantum groups arising from quantum symmetric pairs,which establishes an injective homomorphism from the universal ■quantum group of Kac-Moody type to the ■Hall algebra ...; 关键词：Quantum symmetric pairs Hall algebras Quiver with involutions

A new construction for involutions over finite fields: 《Frontiers of Mathematics in China》2022年第4期553-565,共13页Zhaohui ZHANG Qunying LIAO; supported by the Notional Natural Science Foundation of China(Grant No.12071321).; In 2020,Niu et al.[Cryptogr.Commun.,2020,12(2):165–185]studied the fixed points of involutions over the finite field with q-elements.This paper further discusses the relationship between the fixed points set and the ...; 关键词：Permutation polynomial INVOLUTION fixed point non-fixed point

Two Commuting Involutions Fixing RP_(1)(2m+1)∪RP_(2)(2m+1)被引量：1: 《Chinese Annals of Mathematics,Series B》2021年第5期737-752,共16页Suqian ZHAO Yanying WANG Jingyan LI; supported by the National Natural Science Foundation of China(No.11771116)。; Let Z2 denote a cyclic group of 2 order and Z_(2)^(2)=Z_(2)×Z_(2)the direct product of groups.Suppose that(M,Φ)is a closed and smooth manifold M with a smooth Z_(2)^(2)-action whose fixed point set is the disjoint u...; 关键词：Z_(2)^(2)-action Fixed data Characteristic number Simultaneous bordism Stiefel-Whitney class

Involutions in Weyl group of type F4: 《Frontiers of Mathematics in China》2017年第4期891-906,共16页Jun HU Jing ZHANG Yabo WU; Let W be the Weyl group of type F4. We explicitly describe a finite set of basic braid I＊-transformations and show that any two reduced I＊-expressions for a given involution in W can be transformed into each other t...; 关键词：INVOLUTIONS reduced I＊-expressions braid I＊-transformations

n-Clean Rings with Involutions: 《Journal of Mathematical Research with Applications》2016年第2期194-200,共7页Jian CUI Xiaobin YIN; Supported by the National Natural Science Foundation of China(Grant No.11401009);the Natural Science Foundation of Anhui Province(Grant No.1408085QA01);the Key Natural Science Foundation of Anhui Educational Committee(Grant No.KJ2014A082);the Educational Foundation of Anhui Normal University(Grant No.2013qnzx35); A ＊-ring is called ＊-clean if every element of the ring can be written as the sum of a projection and a unit. For an integer n ≥ 1, we call a ＊-ring R n-＊-clean if for any a ∈ R,a = p ＋ u1 ＋ ··· ＋ unwhere ...; 关键词：＊-clean ring n-＊-clean ring clean ring n-clean ring

Skew-symmetric Elements in Nonlinear Involutions in Group Rings: 《Algebra Colloquium》2015年第2期321-332,共12页A.P. Raposo; Given an involution in a group G, it can be extended in various ways to an involution in the group ring RG, where R is a ring, not necessarily commutative. In this paper nonlinear extensions are considered and necessa...; 关键词：group ring INVOLUTION skew-symmetric element

INVOLUTIONS WITH FIXED POINT SET RP(2m)∪P(2m, 2n + 1)被引量：4: 《Acta Mathematica Scientia》2014年第2期331-342,共12页孟媛媛王彦英; Supported by NSFC(11371118);SRFDP(20121303110004);HNSF(A2011205075);HNUHH(20110403); Let （M, T） be a smooth closed manifold with a smooth involution T whose fixed point set is a disjoint union of an even-dimensional real projective space and a Dold manifold. In some cases, the equivariant bordism cl...; 关键词：INVOLUTION fixed point set characteristic class bordism class

INVOLUTIONS FIXING ∪（from i=1 to m） CP_i(1) × HP_i(n)被引量：3: 《Acta Mathematica Scientia》2012年第3期1021-1034,共14页赵素倩王彦英; supported by NSFC (10971050;11001073;10901045);HNSFC(A2010000828);FHUST (XL201043;QD201021); Let （M, T） be a closed manifold with an involution T. The fixed point set of T is F. In this article, bordism classes of the involutions with fixed point set F = ^mUi=1 CPi（1）×HPi（n） are determined, where CP（1...; 关键词：INVOLUTION BORDISM fixed point set Stiefel-Whitney class

INVOLUTIONS