DAHLQUIST'S FIRST BARRIER FOR MULTISTAGE MULTISTEP FORMULAS.

被引：0
|
作者：
Jeltsch, Rolf [1 ]
Nevanlinna, Olavi [1 ]
机构：
[1] RWTH, Inst fuer Geometrie und, Praktische Mathematik, Aachen, West, Ger, RWTH, Inst fuer Geometrie und Praktische Mathematik, Aachen, West Ger
来源：
BIT (Copenhagen) | 1984年 / 24卷 / 04期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Dahlquist's proof of his barrier for the order of stable linear multistep methods is combined with Reimer's proof of the corresponding barrier for multistep multiderivative methods. This leads to a shortening of Reimer's original proof and gives lower bounds for the error constant. These bounds are then studied for high error order and are used to model the optimal order and stepsize selection in an idealized integration code.
引用
收藏
页码：538 / 555
相关论文
共 42 条
  • [1] DAHLQUIST 1ST BARRIER FOR MULTISTAGE MULTISTEP FORMULAS
    JELTSCH, R
    NEVANLINNA, O
    BIT, 1984, 24 (04): : 538 - 555
  • [2] ACCURACY AND STABILITY OF MULTISTAGE MULTISTEP FORMULAS
    JELTSCH, R
    NEVANLINNA, O
    NUMERISCHE MATHEMATIK, 1986, 48 (01) : 33 - 83
  • [3] Matsushima's and Garland's formulas.
    Pansu, P
    BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1998, 126 (01): : 107 - 139
  • [4] Keats, places and formulas. On Keats's Places
    Folliot, Laurent
    ETUDES ANGLAISES, 2020, 73 (02): : 235 - 248
  • [5] Substitution in First-Order Formulas. Part II. The Construction of First-Order Formulas
    Braselmann, Patrick
    Koepke, Peter
    FORMALIZED MATHEMATICS, 2005, 13 (01): : 27 - 32
  • [6] First degree formulas in quantified S5
    Urquhart, Alasdair
    AUSTRALASIAN JOURNAL OF LOGIC, 2015, 12 (05) : 204 - 210
  • [7] Engineered Exosomes with Independent Module/Cascading Function for Therapy of Parkinson's Disease by Multistep Targeting and Multistage Intervention Method
    Wang, Qi
    Li, Ting
    Yang, Junying
    Zhao, Zinan
    Tan, Kaiyuan
    Tang, Shuwan
    Wan, Mimi
    Mao, Chun
    ADVANCED MATERIALS, 2022, 34 (27)
  • [8] Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to 1S0 neutron-matter gap
    Chamel, N.
    Goriely, S.
    Pearson, J. M.
    NUCLEAR PHYSICS A, 2008, 812 : 72 - 98
  • [9] Tree formulas, mean first passage times and Kemeny's constant of a Markov chain
    Pitman, Jim
    Tang, Wenpin
    BERNOULLI, 2018, 24 (03) : 1942 - 1972
  • [10] Reliability index and Asian barrier option pricing formulas of the uncertain fractional first-hitting time model with Caputo type
    Jin, Ting
    Ding, Hui
    Xia, Hongxuan
    Bao, Jinfeng
    CHAOS SOLITONS & FRACTALS, 2021, 142
12345