Discrete-time waveform relaxation Volterra-Runge-Kutta methods: Convergence analysis

被引：7
|
作者：
Crisci, MR
Russo, E
Vecchio, A
机构：
[1] Univ Salerno, Dip Ing Informat & Mat Appl, Lancusi, SA, Italy
[2] Complesso Monte S Angelo, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy
[3] CNR, Ist Applicaz Matemat, Naples, Italy
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1997年 / 86卷 / 02期
关键词：
Volterra integral equations; discrete-time relaxation; Runge-Kutta methods; parallel computing;
D O I：
10.1016/S0377-0427(97)00168-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The discrete-time relaxation methods based on Volterra-Runge-Kutta methods for solving large system of second-kind Volterra integral equations are proposed. Convergence of the discrete-time iteration process with particular attention to parallel methods is investigated.
引用
收藏
页码：359 / 374
页数：16
相关论文
共 50 条
  • [1] ON THE STABILITY OF VOLTERRA-RUNGE-KUTTA METHODS
    HAIRER, E
    LUBICH, C
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1984, 21 (01) : 123 - 135
  • [2] STABILITY OF PARALLEL VOLTERRA-RUNGE-KUTTA METHODS
    CRISCI, MR
    RUSSO, E
    VANDERHOUWEN, PJ
    VECCHIO, A
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1993, 45 (1-2) : 169 - 180
  • [3] CONTINUOUS VOLTERRA-RUNGE-KUTTA METHODS FOR INTEGRAL-EQUATIONS WITH PURE DELAY
    BADDOUR, N
    BRUNNER, H
    COMPUTING, 1993, 50 (03) : 213 - 227
  • [4] Convergence of discrete time waveform relaxation methods
    Fan, Zhencheng
    NUMERICAL ALGORITHMS, 2019, 80 (02) : 469 - 483
  • [5] Convergence of discrete time waveform relaxation methods
    Zhencheng Fan
    Numerical Algorithms, 2019, 80 : 469 - 483
  • [6] Discrete Adjoint Computations for Relaxation Runge–Kutta Methods
    Mario J. Bencomo
    Jesse Chan
    Journal of Scientific Computing, 2023, 94
  • [7] Discrete Adjoint Computations for Relaxation Runge-Kutta Methods
    Bencomo, Mario J.
    Chan, Jesse
    JOURNAL OF SCIENTIFIC COMPUTING, 2023, 94 (03)
  • [8] Natural Volterra Runge-Kutta methods
    Dajana Conte
    Raffaele D’Ambrosio
    Giuseppe Izzo
    Zdzislaw Jackiewicz
    Numerical Algorithms, 2014, 65 : 421 - 445
  • [9] Natural Volterra Runge-Kutta methods
    Conte, Dajana
    D'Ambrosio, Raffaele
    Izzo, Giuseppe
    Jackiewicz, Zdzislaw
    NUMERICAL ALGORITHMS, 2014, 65 (03) : 421 - 445
  • [10] Performance analysis of relaxation Runge-Kutta methods
    Rogowski, Marcin
    Dalcin, Lisandro
    Parsani, Matteo
    Keyes, David E.
    INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS, 2022, 36 (04): : 524 - 542
12345