Grobner Bases for Nonlinear DAE Systems of Analog Circuits

被引：0
|
作者：
Spang, Silke J. [1 ]
机构：
[1] Fraunhofer Inst Ind Math ITWM, Dept Syst Anal Prognosis & Control, Kaiserslautern, Germany
来源：
COMPUTER SCIENCE JOURNAL OF MOLDOVA | 2008年 / 16卷 / 01期
关键词：
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Systems of differential equations play an important role in modelling and analysis of many complex systems e.g. in electronics and mechanics. The following article is concerned with a symbolic analysis approach for reduction of the differential index of nonlinear differential algebraic equation (DAE) systems, which occur in the modelling and simulation of analog circuits.
引用
收藏
页码：93 / 116
页数：24
相关论文
共 50 条
  • [1] On the simplification of nonlinear DAE systems in analog circuit design
    Wichmann, T
    Popp, R
    Hartong, W
    Hedrich, L
    CASC'99: COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, 1999, : 485 - 498
  • [2] Grobner bases and systems theory
    Buchberger, B
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2001, 12 (3-4) : 223 - 251
  • [3] Computing Comprehensive Grobner Systems and Comprehensive Grobner Bases Simultaneously
    Kapur, Deepak
    Sun, Yao
    Wang, Dingkang
    ISSAC 2011: PROCEEDINGS OF THE 36TH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, 2011, : 193 - 200
  • [4] Multiplicative bases, Grobner bases, and right Grobner bases
    Green, EL
    JOURNAL OF SYMBOLIC COMPUTATION, 2000, 29 (4-5) : 601 - 623
  • [5] Triangular systems and factorized Grobner bases
    Grabe, HG
    APPLIED ALGEBRA, ALGEBRAIC ALGORITHMS AND ERROR-CORRECTING CODES, 1995, 948 : 248 - 261
  • [6] Railway interlocking systems and Grobner bases
    Roanes-Lozano, E
    Roanes-Macías, E
    Laita, LM
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2000, 51 (05) : 473 - 481
  • [7] Grobner bases for polynomial systems with parameters
    Montes, Antonio
    Wibmer, Michael
    JOURNAL OF SYMBOLIC COMPUTATION, 2010, 45 (12) : 1391 - 1425
  • [8] Constrained Hamiltonian systems and Grobner bases
    Gerdt, VP
    Gogilidze, SA
    CASC'99: COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, 1999, : 139 - 146
  • [9] A Survey on Algorithms for Computing Comprehensive Grobner Systems and Comprehensive Grobner Bases
    Lu Dong
    Sun Yao
    Wang Dingkang
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 32 (01) : 234 - 255
  • [10] Grobner bases: A short introduction for systems theorists
    Buchberger, B
    COMPUTER AIDED SYSTEMS THEORY - EUROCAST 2001, 2001, 2178 : 1 - 19
12345