TY - JOUR
T1 - Waveform Relaxation Methods of Nonlinear Integral-Differential-Algebraic Equations
AU - Yao-Lin Jiang
JO - Journal of Computational Mathematics
VL - 1
SP - 49
EP - 66
PY - 2005
DA - 2005/02
SN - 23
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8795.html
KW - Nonlinear integral-differential-algebraic equations, Waveform relaxation, Parallel solutions, Convergence of iterative methods, Engineering applications.
AB - <p style="text-align: justify;">In this paper we consider continuous-time and discrete-time waveform relaxation methods for general nonlinear integral-differential-algebraic equations. For the continuous-time case we derive the convergence condition of the iterative methods by invoking the spectral theory on the resulting iterative operators. By using the implicit difference forms, namely the backward-differentiation formulae, we also yield the convergence condition of the discrete waveforms. Numerical experiments are provided to illustrate the theoretical work reported here.</p>