Concepedia

B-stability

B-Stability is a property of numerical methods for solving differential equations that belongs to the class of stability concepts, specifically characterized by the requirement that the numerical method preserves the contractivity property of the exact solution when applied to stiff problems under arbitrary step sizes.

29

Publications

1.8K

Citations

62

Authors

30

Institutions

Publications per year

2017–2026

3

Parents

Publications

29

A survey on the stability of fractional differential equations

Chuang Li, F.R. Zhang · The European Physical Journal Special Topics · 2011 · 374 citations

, , +10

Stability Criteria for Implicit Runge–Kutta Methods

Kevin Burrage, J. C. Butcher · SIAM Journal on Numerical Analysis · 1979 · 299 citations

, , +12

Non‐linear B‐stability and symmetry preserving return mapping algorithms for plasticity and viscoplasticity

J.C. Simo, Sanjay Govindjee · International Journal for Numerical Methods in Engineering · 1991 · 133 citations

, , +15

Stochastic C-Stability and B-Consistency of Explicit and Implicit Euler-Type Schemes

Wolf‐Jürgen Beyn, Elena Isaak, Raphael Kruse · Journal of Scientific Computing · 2015 · 98 citations · Full text

, , +14

Stability Analysis of Impulsive Switched Time-Delay Systems With State-Dependent Impulses

Wei Ren, Junlin Xiong · IEEE Transactions on Automatic Control · 2019 · 91 citations

, , +13

1–5 of 29

Authors

62

  1. KB
    Kevin Burrage

    University of Oxford, United Kingdom

    3 publications · 382 citations

    3

    h-index

  2. SL
    Shoufu Li

    Xiangtan University, China

    3 publications · 61 citations

    3

    h-index

  3. JC
    J. C. Butcher

    University of Auckland, New Zealand

    2 publications · 316 citations

    2

    h-index

  4. RK
    Raphael Kruse

    Technische Universität Berlin, Germany

    2 publications · 163 citations

    2

    h-index

  5. EI
    Elena Isaak

    Technische Universität Berlin, Germany

    2 publications · 163 citations

    2

    h-index

1–5 of 62

Institutions

30

  1. University of Auckland

    Auckland, New Zealand

    3 h-index

    4 publications

    122 citations

  2. Xiangtan University

    Xiangtan, China

    3 h-index

    3 publications

    61 citations

  3. Imperial College London

    London, United Kingdom

    3 h-index

    6 publications

    227 citations

  4. KTH Royal Institute of Technology

    Stockholm, Sweden

    2 h-index

    2 publications

    151 citations

  5. Technische Universität Berlin

    Berlin, Germany

    2 h-index

    2 publications

    163 citations

  6. Bielefeld University

    Bielefeld, Germany

    2 h-index

    4 publications

    326 citations

  7. University of Guelph

    Guelph, Canada

    1 h-index

    1 publications

    52 citations

  8. Vrije Universiteit Amsterdam

    Amsterdam, The Netherlands

    1 h-index

    3 publications

    45 citations

1–8 of 30

Venues

  1. SIAM Journal on Numerical Analysis

    4 publications · 440 citations

    4

    h-index

  2. Mathematics of Computation

    MCOM · 2 publications · 39 citations

    2

    h-index

  3. Journal of Scientific Computing

    2 publications · 163 citations

    2

    h-index

  4. Journal of Computational Physics

    2 publications · 79 citations

    2

    h-index

  5. BIT Numerical Mathematics

    2 publications · 37 citations

    2

    h-index

1–5