Testing the Multi-Step Single-Stage Method on Stiff Problems

被引：0
|
作者：
V. A. Prusov
A. Yu. Doroshenko
机构：
[1] Ukrainian Hydrometeorological Institute of the State Emergency Service and National Academy of Sciences of Ukraine,
[2] National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute,undefined
[3] ”,undefined
来源：
Cybernetics and Systems Analysis | 2020年 / 56卷
关键词：
stiff equations and systems; multi-step single-stage method; (4,2)-method; CROS; four-stage explicit Runge–Kutta method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A multi-step single-stage method is considered, which allows one to integrate stiff differential equations and systems of equations with high accuracy and low computational costs. The examples show that the proposed method is in solving stiff problems as good as the best available methods. The calculation results allow us to determine the absolute stability domains for the multi-step single-stage method, where it is possible to vary integration step within a wide range while maintaining the computational stability of the method.
引用
收藏
页码：81 / 88
页数：7
相关论文
共 50 条
  • [31] Effect of step number on roundness determination using multi-step method
    Jariya Buajarern
    Thammarat Somthong
    Salah Hamed Ramadan Ali
    Anusorn Tonmeuanwai
    International Journal of Precision Engineering and Manufacturing, 2013, 14 : 2047 - 2050
  • [32] A single-stage method for synthesizing carbon nanosystems
    S. V. Antonenko
    O. S. Malinovskaya
    Instruments and Experimental Techniques, 2009, 52 : 433 - 434
  • [33] High Step-up Single-stage Boost Inverter
    Zhou, Yufei
    Huang, Wenxin
    Zhao, Jianwu
    Zhao, Ping
    2011 IEEE ENERGY CONVERSION CONGRESS AND EXPOSITION (ECCE), 2011, : 4218 - 4224
  • [34] Problems of multi-step forming sheet metal process design
    Zimniak, Z
    JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 2000, 106 (1-3) : 152 - 158
  • [35] Solving conbinatorial optimization problems with multi-step genetic algorithms
    Watabe, H
    Kawaoka, T
    GECCO-99: PROCEEDINGS OF THE GENETIC AND EVOLUTIONARY COMPUTATION CONFERENCE, 1999, : 813 - 813
  • [36] Automated Assessment of Multi-Step Answers for Mathematical Word Problems
    Kadupitiya, J. C. S.
    Ranathunga, Surangika
    Dias, Gihan
    2016 SIXTEENTH INTERNATIONAL CONFERENCE ON ADVANCES IN ICT FOR EMERGING REGIONS (ICTER) - 2016, 2016, : 66 - 71
  • [37] Comparing a single-stage geocoding method to a multi-stage geocoding method: how much and where do they disagree?
    Lovasi, Gina S.
    Weiss, Jeremy C.
    Hoskins, Richard
    Whitsel, Eric A.
    Rice, Kenneth
    Erickson, Craig F.
    Psaty, Bruce M.
    INTERNATIONAL JOURNAL OF HEALTH GEOGRAPHICS, 2007, 6 (1)
  • [38] Comparing a single-stage geocoding method to a multi-stage geocoding method: how much and where do they disagree?
    Gina S Lovasi
    Jeremy C Weiss
    Richard Hoskins
    Eric A Whitsel
    Kenneth Rice
    Craig F Erickson
    Bruce M Psaty
    International Journal of Health Geographics, 6
  • [39] Multi-step method for solving nonlinear systems of equations
    Univ of New Brunswick, Fredericton, Canada
    Comput Appl Eng Educ, 2 (121-126):
  • [40] A Step-Up/Down Single-Stage ZVS Inverter
    Koushki, Behnam
    Safaee, Alireza
    Jain, Praveen
    Bakhshai, Alireza
    IECON 2015 - 41ST ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, 2015, : 2201 - 2206
12345