@Article{JCM-23-49, author = {}, title = {Waveform Relaxation Methods of Nonlinear Integral-Differential-Algebraic Equations}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {1}, pages = {49--66}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8795.html} }