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RECTANGLES: 作品数：13被引量：15H指数：2; 导出分析报告; 相关作者：张加万孙济洲李谭迟学斌梁宇学更多>>; 相关机构：天津大学中国科学院大学首都师范大学中国科学院更多>>; 相关期刊：《计算机研究与发展》《中学生数学（高中版）》《Advances in Applied Mathematics and Mechanics》《Journal of Computational Mathematics》更多>>; 相关基金：国家自然科学基金上海市教育委员会重点学科基金天津市科技攻关项目国家重点基础研究发展计划更多>>

TWO FAMILIES OF n-RECTANGLE NONCONFORMING FINITE ELEMENTS FOR SIXTH-ORDER ELLIPTIC EQUATIONS: 《Journal of Computational Mathematics》2025年第1期121-142,共22页Xianlin Jin Shuonan Wu; supported in part by the National Natural Science Foundation of China(Grant No.12222101).; In this paper, we propose two families of nonconforming finite elements on n-rectangle meshes of any dimension to solve the sixth-order elliptic equations. The unisolvent property and the approximation ability of the ...; 关键词：Nonconforming finite element method n-Rectangle element Sixth-order elliptic equation Exchange of sub-rectangles

基于归一分解的并行多目标Dividing Rectangles算法: 《计算机研究与发展》2024年第11期3909-3922,共14页李晨陈逸东陆忠华杨雪莹王子田迟学斌; 中国博士后科学基金项目(2021M693226);国家自然科学基金项目(61873254)。; 多目标优化问题普遍存在且难以解决,目前多采用多目标进化算法进行求解.然而,这些方法通常在种群初始化阶段和进化过程中包含随机操作以保持多样性,导致了其结果不可复现且缺乏全局收敛的理论保证.鉴于此,提出了一种基于归一分解的多目...; 关键词：多目标优化目标空间分解 Dividing Rectangles算法并行计算全局优化

The Tilings of Deficient Squares by Ribbon <i>L</i>-Tetrominoes Are Diagonally Cracked: 《Open Journal of Discrete Mathematics》2017年第3期165-176,共12页Viorel Nitica; We consider tilings of deficient rectangles by the set T4 of ribbon L-tetro-minoes. A tiling exists if and only if the rectangle is a square of odd side. The missing cell has to be on the main NW-SE diagonal, in an od...; 关键词：Tiling DEFICIENT RECTANGLES RIBBON Tetromino

Tiling Rectangles with Gaps by Ribbon Right Trominoes: 《Open Journal of Discrete Mathematics》2017年第2期87-102,共16页Premalatha Junius Viorel Nitica; We show that the least number of cells (the gap number) one needs to take out from a rectangle with integer sides of length at least 2 in order to be tiled by ribbon right trominoes is less than or equal to 4. If the ...; 关键词：TILING RECTANGLES RIBBON Tromino RECTANGLE with GAPS Gap Number COLORING Invariants

On Tilings of Quadrants and Rectangles and Rectangular Pattern被引量：2: 《Open Journal of Discrete Mathematics》2016年第4期351-371,共21页Viorel Nitica; The problem of tiling rectangles by polyominoes generated large interest. A related one is the problem of tiling parallelograms by twisted polyominoes. Both problems are related with tilings of (skewed) quadrants by p...; 关键词：POLYOMINO L-Shaped Polyomino Skewed L-Shaped Polyomino Tiling Rectangles Tiling Quadrants Tiling Parallelograms Rectangular Pattern for Tiling Quadrants/Rectangles

Signed Tilings by Ribbon L n-Ominoes, n Even, via Gröbner Bases被引量：1: 《Open Journal of Discrete Mathematics》2016年第3期185-206,共22页Kenneth Gill Viorel Nitica; Let T_nbe the set of ribbon L-shaped n-ominoes for some n≥4 even, and let T⁺_n be T_n with an extra 2 x 2 square. We investigate signed tilings of rectangles by T_n...; 关键词：POLYOMINO Replicating Tile L-Shaped Polyomino Skewed L-Shaped Polyomino Signed Tilings Gröbner Basis Tiling Rectangles Coloring Invariants

Approximation integration by using rectangles: 《中学生数学（高中版）》2014年第9期46-47,共2页梁宇学; In calculus,two famous problems are well known.The one problem of finding the tangent line led us to the derivative.The other problem of finding area led us to find the definite integral.In this paper,we will learn ho...; 关键词：中学英语课外阅读阅读材料

A Polynomial Algorithm of Optimum Cutting a Rectangle into Rectangles with Two Heights: 《American Journal of Operations Research》2014年第1期22-29,共8页M. Z. Arslanov; We consider the problem of guillotine cutting a rectangular sheet into rectangular pieces with two heights. A polynomial time algorithm for this problem is constructed.; 关键词：CUTTING CONVEX HULL Polynomial Algorithms

Searching for complete set of free resource rectangles on FPGA area based on CPTR被引量：3: 《Journal of Shanghai University(English Edition)》2011年第5期391-396,共6页柴亚辉沈文枫徐炜民刘觉夫郑衍衡; Project supported by the Shanghai Leading Academic Discipline Project(Grant No.J50103);the Natural Science Foundation of Jiangxi Province(Grant No.2010GZS0031);the Science Technology Project of Jiangxi Province(Grant No.2010BGB00604); As a coprocessor, field-programmable gate array （FPGA） is the hardware computing processor accelerating the computing capacity of coraputers. To efficiently manage the hardware free resources for the placing of task...; 关键词：field-programmable gate array （FPGA） partially dynamic reconfigure maximal free rectangle occupied rectangle

On the Full C_(1)-Q_(k) Finite Element Spaces on Rectangles and Cuboids被引量：2: 《Advances in Applied Mathematics and Mechanics》2010年第6期701-721,共21页Shangyou Zhang; We study the extensions of the Bogner-Fox-Schmit element to the whole family of Q_(k) continuously differentiable finite elements on rectangular grids,for all k≥3,in 2D and 3D.We show that the newly defined C_(1) spa...; 关键词：Differentiable finite element biharmonic equation Bogner-Fox-Schmit rectangle quadrilateral element hexahedral element Strang’s conjecture

RECTANGLES