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Fast Runge–Kutta methods for nonlinear convolution systems of Volterra integral equations
14/14 checkable references clean · checked 2026-08-10
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
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The 14 checked references that resolve
resolves10.1093/imanum/10.1.103
Stability Analysis of Runge-Kutta Methods for Volterra Integral Equations of the Second Kind
resolves10.1137/0908068
The Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Methods
resolves10.1016/j.cam.2005.05.018
A fast iterative method for discretized Volterra–Fredholm integral equations
resolves10.1016/j.cam.2005.10.018
Fast collocation methods for Volterra integral equations of convolution type
resolves10.1007/BF01952681
On the stability of the one-step exact collocation methods for the numerical solution of the second kind Volterra integral equation
resolves10.1080/00949658408810751
Solution of the volterra equation of renewal theory with the galerkin technique using cubic splines
resolves10.1016/j.apnum.2004.10.010
The numerical solution of parabolic Volterra integro-differential equations on unbounded spatial domains
resolves10.1145/212066.212068
A modification of Talbot's method for the simultaneous approximation of several values of the inverse Laplace transform
The 5 references without a DOI — listed, not checked
no DOI — not checkedH. Brunner and E. Messina, Time-stepping methods for Volterra–Fredholm integral equations, Rend. Mat. Appl., VII. Ser., 23 (2003), pp. 329–342.
no DOI — not checkedH. Brunner and P. J. van der Houwen, The numerical solution of Volterra equations, CWI Monographs, vol. 3, North-Holland, Amsterdam, 1986.
no DOI — not checkedD. Givoli, Numerical methods for problems in infinite domains, Elsevier Science Publishers, Amsterdam, 1992.
no DOI — not checkedR. K. Miller, Nonlinear Volterra Integral Equations, W. A. Benjamin, Menlo Park, CA, 1971.
no DOI — not checkedP. W. Sharp and J. H. Verner: Some extended explicit Bel’tyukov pairs for Volterra integral equations of the second kind, SIAM J. Numer. Anal., 38(2) (2000), pp. 347–359.
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