Wang, Bin; Wu, Xinyuan A highly accurate explicit symplectic ERKN method for multi-frequency and multidimensional oscillatory Hamiltonian systems. (English) Zbl 1291.65362 Numer. Algorithms 65, No. 3, 705-721 (2014). MSC: 65P10 37M15 65L06 PDFBibTeX XMLCite \textit{B. Wang} and \textit{X. Wu}, Numer. Algorithms 65, No. 3, 705--721 (2014; Zbl 1291.65362) Full Text: DOI
Tsai, Angela Y. J.; Chan, Robert P. K.; Wang, Shixiao Two-derivative Runge-Kutta methods for PDEs using a novel discretization approach. (English) Zbl 1291.65287 Numer. Algorithms 65, No. 3, 687-703 (2014). MSC: 65M20 65L06 35L02 35L65 35Q53 35K05 PDFBibTeX XMLCite \textit{A. Y. J. Tsai} et al., Numer. Algorithms 65, No. 3, 687--703 (2014; Zbl 1291.65287) Full Text: DOI
Chan, T. M. H. Relations between the Hopf algebra and the B-series with new concepts. (English) Zbl 1291.65206 Numer. Algorithms 65, No. 3, 669-685 (2014). MSC: 65L05 16T05 34A34 PDFBibTeX XMLCite \textit{T. M. H. Chan}, Numer. Algorithms 65, No. 3, 669--685 (2014; Zbl 1291.65206) Full Text: DOI
Fang, Yonglei; You, Xiong; Ming, Qinghe Trigonometrically fitted two-derivative Runge-Kutta methods for solving oscillatory differential equations. (English) Zbl 1291.65221 Numer. Algorithms 65, No. 3, 651-667 (2014). MSC: 65L06 65L05 34A34 34C10 65L20 PDFBibTeX XMLCite \textit{Y. Fang} et al., Numer. Algorithms 65, No. 3, 651--667 (2014; Zbl 1291.65221) Full Text: DOI
Brugnano, Luigi; Frasca Caccia, Gianluca; Iavernaro, Felice Efficient implementation of Gauss collocation and Hamiltonian boundary value methods. (English) Zbl 1291.65357 Numer. Algorithms 65, No. 3, 633-650 (2014). MSC: 65P10 37M15 65L06 65L60 34A34 65L20 PDFBibTeX XMLCite \textit{L. Brugnano} et al., Numer. Algorithms 65, No. 3, 633--650 (2014; Zbl 1291.65357) Full Text: DOI arXiv
Brugnano, Luigi; Sun, Yajuan Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems. (English) Zbl 1291.65358 Numer. Algorithms 65, No. 3, 611-632 (2014). MSC: 65P10 37M15 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{L. Brugnano} and \textit{Y. Sun}, Numer. Algorithms 65, No. 3, 611--632 (2014; Zbl 1291.65358) Full Text: DOI arXiv
Khashin, Sergey Symmetries of explicit Runge-Kutta methods. (English) Zbl 1298.65111 Numer. Algorithms 65, No. 3, 597-609 (2014). Reviewer: Raffaella Pavani (Milano) MSC: 65L06 PDFBibTeX XMLCite \textit{S. Khashin}, Numer. Algorithms 65, No. 3, 597--609 (2014; Zbl 1298.65111) Full Text: DOI
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice Order conditions for general linear Nyström methods. (English) Zbl 1291.65219 Numer. Algorithms 65, No. 3, 579-595 (2014). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Numer. Algorithms 65, No. 3, 579--595 (2014; Zbl 1291.65219) Full Text: DOI
Verner, J. H. Explicit Runge-Kutta pairs with lower stage-order. (English) Zbl 1291.65223 Numer. Algorithms 65, No. 3, 555-577 (2014). MSC: 65L06 65L05 34A34 65L20 65L70 PDFBibTeX XMLCite \textit{J. H. Verner}, Numer. Algorithms 65, No. 3, 555--577 (2014; Zbl 1291.65223) Full Text: DOI
Chen, D. J. L. The efficiency of singly-implicit Runge-Kutta methods for stiff differential equations. (English) Zbl 1291.65199 Numer. Algorithms 65, No. 3, 533-554 (2014). MSC: 65L04 65L05 65L06 34A34 65L20 65L70 65L50 PDFBibTeX XMLCite \textit{D. J. L. Chen}, Numer. Algorithms 65, No. 3, 533--554 (2014; Zbl 1291.65199) Full Text: DOI
Burrage, Pamela M.; Burrage, Kevin Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. (English) Zbl 1291.65017 Numer. Algorithms 65, No. 3, 519-532 (2014). MSC: 65C30 60H10 60H35 34F05 65P10 37M15 37H10 65L05 65L06 PDFBibTeX XMLCite \textit{P. M. Burrage} and \textit{K. Burrage}, Numer. Algorithms 65, No. 3, 519--532 (2014; Zbl 1291.65017) Full Text: DOI Link
Butcher, John C.; Imran, Gulshad Symplectic effective order methods. (English) Zbl 1291.65359 Numer. Algorithms 65, No. 3, 499-517 (2014). MSC: 65P10 37M15 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{G. Imran}, Numer. Algorithms 65, No. 3, 499--517 (2014; Zbl 1291.65359) Full Text: DOI
Sandu, Adrian A new look at the chemical master equation. (English) Zbl 1291.65023 Numer. Algorithms 65, No. 3, 485-498 (2014). MSC: 65C30 65L05 65L20 65L03 34K50 34K06 80A30 60H10 60H35 PDFBibTeX XMLCite \textit{A. Sandu}, Numer. Algorithms 65, No. 3, 485--498 (2014; Zbl 1291.65023) Full Text: DOI
Li, Jiyong; Wu, Xinyuan Error analysis of explicit TSERKN methods for highly oscillatory systems. (English) Zbl 1293.65109 Numer. Algorithms 65, No. 3, 465-483 (2014). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L70 65L06 65L05 65L20 34C10 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. Wu}, Numer. Algorithms 65, No. 3, 465--483 (2014; Zbl 1293.65109) Full Text: DOI
Lawrence, Piers W.; Corless, Robert M. Stability of rootfinding for barycentric Lagrange interpolants. (English) Zbl 1297.65051 Numer. Algorithms 65, No. 3, 447-464 (2014). Reviewer: Alyson Reeves (Bowie) MSC: 65H04 65H17 65F15 65D05 PDFBibTeX XMLCite \textit{P. W. Lawrence} and \textit{R. M. Corless}, Numer. Algorithms 65, No. 3, 447--464 (2014; Zbl 1297.65051) Full Text: DOI
Conte, Dajana; D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw Natural Volterra Runge-Kutta methods. (English) Zbl 1291.65377 Numer. Algorithms 65, No. 3, 421-445 (2014). MSC: 65R20 45D05 45G10 PDFBibTeX XMLCite \textit{D. Conte} et al., Numer. Algorithms 65, No. 3, 421--445 (2014; Zbl 1291.65377) Full Text: DOI
Chan, R. P. K.; Razali, N. Smoothing effects on the IMR and ITR. (English) Zbl 1291.65218 Numer. Algorithms 65, No. 3, 401-420 (2014). MSC: 65L06 65L04 65L05 34A30 34A34 PDFBibTeX XMLCite \textit{R. P. K. Chan} and \textit{N. Razali}, Numer. Algorithms 65, No. 3, 401--420 (2014; Zbl 1291.65218) Full Text: DOI
Cardone, Angelamaria; Jackiewicz, Zdzislaw; Sandu, Adrian; Zhang, Hong Extrapolation-based implicit-explicit general linear methods. (English) Zbl 1291.65217 Numer. Algorithms 65, No. 3, 377-399 (2014). MSC: 65L06 65L05 65L04 34A34 65L20 65L70 PDFBibTeX XMLCite \textit{A. Cardone} et al., Numer. Algorithms 65, No. 3, 377--399 (2014; Zbl 1291.65217) Full Text: DOI arXiv