Famelis, Ioannis Th.; Tsitouras, Ch. Quadratic shooting solution for an environmental parameter prediction problem. (English) Zbl 1327.65141 Far East J. Appl. Math. 91, No. 2, 81-98 (2015). MSC: 65L10 65L06 62P35 65C60 34B15 86A10 PDFBibTeX XMLCite \textit{I. Th. Famelis} and \textit{Ch. Tsitouras}, Far East J. Appl. Math. 91, No. 2, 81--98 (2015; Zbl 1327.65141) Full Text: DOI Link
Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline Solving boundary value problems in the open source software R: package bvpSolve. (English) Zbl 1293.65104 Opusc. Math. 34, No. 2, 387-403 (2014). MSC: 65L10 65Y15 65L80 34B15 34A09 65L05 65L11 34E15 PDFBibTeX XMLCite \textit{F. Mazzia} et al., Opusc. Math. 34, No. 2, 387--403 (2014; Zbl 1293.65104) Full Text: DOI
Enright, W. H.; Muir, P. H. New interpolants for asymptotically correct defect control of BVODEs. (English) Zbl 1184.65078 Numer. Algorithms 53, No. 2-3, 219-238 (2010). MSC: 65L70 34B15 65L10 65L06 PDFBibTeX XMLCite \textit{W. H. Enright} and \textit{P. H. Muir}, Numer. Algorithms 53, No. 2--3, 219--238 (2010; Zbl 1184.65078) Full Text: DOI
Amodio, Pierluigi; Settanni, Giuseppina Variable step/order generalized upwind methods for the numerical solution of second order singular perturbation problems. (English) Zbl 1191.65097 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 4, No. 1-2, 65-76 (2009). MSC: 65L10 34B15 34E15 65L12 65L50 PDFBibTeX XMLCite \textit{P. Amodio} and \textit{G. Settanni}, JNAIAM, J. Numer. Anal. Ind. Appl. Math. 4, No. 1--2, 65--76 (2009; Zbl 1191.65097)
Amodio, P.; Sgura, I. High order generalized upwind schemes and numerical solution of singular perturbation problems. (English) Zbl 1121.65089 BIT 47, No. 2, 241-257 (2007). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L12 65L10 65L50 34B15 34E15 PDFBibTeX XMLCite \textit{P. Amodio} and \textit{I. Sgura}, BIT 47, No. 2, 241--257 (2007; Zbl 1121.65089) Full Text: DOI
Cash, Jeff R. The numerical solution of nonlinear two-point boundary value problems using iterated deferred correction – a survey. (English) Zbl 1132.65061 Opusc. Math. 26, No. 2, 269-287 (2006). MSC: 65L05 65L06 65L20 34B15 65L50 PDFBibTeX XMLCite \textit{J. R. Cash}, Opusc. Math. 26, No. 2, 269--287 (2006; Zbl 1132.65061)
Shampine, L. F.; Muir, P. H.; Xu, H. A user-friendly Fortran BVP solver. (English) Zbl 1117.65114 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 1, No. 2, 201-217 (2006). MSC: 65L10 34B15 34B16 65L12 65Y15 68W30 PDFBibTeX XMLCite \textit{L. F. Shampine} et al., JNAIAM, J. Numer. Anal. Ind. Appl. Math. 1, No. 2, 201--217 (2006; Zbl 1117.65114)
Mazzia, Francesca; Sestini, Alessandra; Trigiante, Donato BS linear multistep methods on non-uniform meshes. (English) Zbl 1120.65090 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 1, No. 1, 131-144 (2006). Reviewer: R. Militaru (Craiova) MSC: 65L10 65L06 34B15 65L50 PDFBibTeX XMLCite \textit{F. Mazzia} et al., JNAIAM, J. Numer. Anal. Ind. Appl. Math. 1, No. 1, 131--144 (2006; Zbl 1120.65090)
Cash, J. R.; Mazzia, F.; Sumarti, N.; Trigiante, D. The role of conditioning in mesh selection algorithms for first order systems of linear two point boundary value problems. (English) Zbl 1077.65084 J. Comput. Appl. Math. 185, No. 2, 212-224 (2006). MSC: 65L10 34B15 65L50 65L70 PDFBibTeX XMLCite \textit{J. R. Cash} et al., J. Comput. Appl. Math. 185, No. 2, 212--224 (2006; Zbl 1077.65084) Full Text: DOI
Cash, J. R.; Mazzia, F. A new mesh selection algorithm, based on conditioning, for two-point boundary value codes. (English) Zbl 1076.65065 J. Comput. Appl. Math. 184, No. 2, 362-381 (2005). MSC: 65L10 65L50 34B15 65L70 PDFBibTeX XMLCite \textit{J. R. Cash} and \textit{F. Mazzia}, J. Comput. Appl. Math. 184, No. 2, 362--381 (2005; Zbl 1076.65065) Full Text: DOI
Amodio, Pierluigi; Sgura, Ivonne High-order finite difference schemes for the solution of second-order BVPs. (English) Zbl 1073.65061 J. Comput. Appl. Math. 176, No. 1, 59-76 (2005). Reviewer: M. Plum (Karlsruhe) MSC: 65L10 65L12 34B15 PDFBibTeX XMLCite \textit{P. Amodio} and \textit{I. Sgura}, J. Comput. Appl. Math. 176, No. 1, 59--76 (2005; Zbl 1073.65061) Full Text: DOI
Shampine, L. F.; Muir, P. H. Estimating conditioning of BVPs for ODEs. (English) Zbl 1074.65092 Math. Comput. Modelling 40, No. 11-12, 1309-1321 (2004). MSC: 65L10 65L70 34B15 PDFBibTeX XMLCite \textit{L. F. Shampine} and \textit{P. H. Muir}, Math. Comput. Modelling 40, No. 11--12, 1309--1321 (2004; Zbl 1074.65092) Full Text: DOI
Cash, J. R.; Moore, D. R. High-order interpolants for solutionsof two-point boundary value problems using MIRK methods. (English) Zbl 1069.65083 Comput. Math. Appl. 48, No. 10-11, 1749-1763 (2004). MSC: 65L10 34B15 65L06 PDFBibTeX XMLCite \textit{J. R. Cash} and \textit{D. R. Moore}, Comput. Math. Appl. 48, No. 10--11, 1749--1763 (2004; Zbl 1069.65083) Full Text: DOI
Cash, J. R. A survey of some global methods for solving two-point BVPs. (English) Zbl 1064.65062 ANACM, Appl. Numer. Anal. Comput. Math. 1, No. 1, 7-17 (2004). MSC: 65L10 34B15 65Y15 65L06 65L60 PDFBibTeX XMLCite \textit{J. R. Cash}, ANACM, Appl. Numer. Anal. Comput. Math. 1, No. 1, 7--17 (2004; Zbl 1064.65062) Full Text: DOI
Mazzia, Francesca; Trigiante, Donato A hybrid mesh selection strategy based on conditioning for boundary value ODE problems. (English) Zbl 1050.65072 Numer. Algorithms 36, No. 2, 169-187 (2004). MSC: 65L10 65L50 34B15 34E15 65L70 PDFBibTeX XMLCite \textit{F. Mazzia} and \textit{D. Trigiante}, Numer. Algorithms 36, No. 2, 169--187 (2004; Zbl 1050.65072) Full Text: DOI
Aceto, Lidia; Mazzia, Francesca; Trigiante, Donato The performances of the code TOM on the Holt problem. (English) Zbl 1043.65086 Antreich, K. (ed.) et al., Modeling, simulation, and optimization of integrated circuits. Proceedings of a conference, Oberwolfach, Germany, November 25–December 1, 2001. Basel: Birkhäuser (ISBN 3-7643-2192-X/hbk). ISNM, Int. Ser. Numer. Math. 146, 349-360 (2003). MSC: 65L10 34B15 65L50 PDFBibTeX XMLCite \textit{L. Aceto} et al., ISNM, Int. Ser. Numer. Math. 146, 349--360 (2003; Zbl 1043.65086)
Shampine, L. F. Singular boundary value problems for ODEs. (English) Zbl 1027.65103 Appl. Math. Comput. 138, No. 1, 99-112 (2003). MSC: 65L10 34B16 PDFBibTeX XMLCite \textit{L. F. Shampine}, Appl. Math. Comput. 138, No. 1, 99--112 (2003; Zbl 1027.65103) Full Text: DOI
Mazzia, F.; Sgura, I. Numerical approximation of nonlinear BVPs by means of BVMs. (English) Zbl 0999.65076 Appl. Numer. Math. 42, No. 1-3, 337-352 (2002). MSC: 65L10 34B15 65L20 PDFBibTeX XMLCite \textit{F. Mazzia} and \textit{I. Sgura}, Appl. Numer. Math. 42, No. 1--3, 337--352 (2002; Zbl 0999.65076) Full Text: DOI
Kierzenka, Jacek; Shampine, Lawrence F. A BVP solver based on residual control and the Maltab PSE. (English) Zbl 1070.65555 ACM Trans. Math. Softw. 27, No. 3, 299-316 (2001). MSC: 65L10 34B15 34-04 65Y15 PDFBibTeX XMLCite \textit{J. Kierzenka} and \textit{L. F. Shampine}, ACM Trans. Math. Softw. 27, No. 3, 299--316 (2001; Zbl 1070.65555) Full Text: DOI
Cash, J. R.; Moore, G.; Wright, R. W. An automatic continuation strategy for the solution of singularly perturbed nonlinear boundary value problems. (English) Zbl 1070.65554 ACM Trans. Math. Softw. 27, No. 2, 245-266 (2001). MSC: 65L10 34B15 34E15 PDFBibTeX XMLCite \textit{J. R. Cash} et al., ACM Trans. Math. Softw. 27, No. 2, 245--266 (2001; Zbl 1070.65554) Full Text: DOI
Muir, P. H.; Adams, M. Mono-implicit Runge-Kutta-Nyström methods with application to boundary value ordinary differential equations. (English) Zbl 0996.65076 BIT 41, No. 4, 776-799 (2001). MSC: 65L10 65Y20 34B15 PDFBibTeX XMLCite \textit{P. H. Muir} and \textit{M. Adams}, BIT 41, No. 4, 776--799 (2001; Zbl 0996.65076) Full Text: DOI
Muir, P. H. Optimal discrete and continuous mono-implicit Runge-Kutta schemes for BVODEs. (English) Zbl 0918.65060 Adv. Comput. Math. 10, No. 2, 135-167 (1999). Reviewer: I.Coroian (Baia Mare) MSC: 65L10 65L06 34B15 65L20 PDFBibTeX XMLCite \textit{P. H. Muir}, Adv. Comput. Math. 10, No. 2, 135--167 (1999; Zbl 0918.65060) Full Text: DOI
Bellavia, S.; Macconi, M.; Morini, B. The switching-method in multiple shooting. (English) Zbl 0915.65089 Computing 60, No. 3, 275-283 (1998). Reviewer: H.Ade (Mainz) MSC: 65L10 34B15 65H10 PDFBibTeX XMLCite \textit{S. Bellavia} et al., Computing 60, No. 3, 275--283 (1998; Zbl 0915.65089) Full Text: DOI
Enright, W. H.; Muir, P. H. Runge-Kutta software defect control for boundary value ODEs. (English) Zbl 0844.65064 SIAM J. Sci. Comput. 17, No. 2, 479-497 (1996). Reviewer: E.Hairer (Genève) MSC: 65L10 65L70 65L60 34-04 34B15 65L06 PDFBibTeX XMLCite \textit{W. H. Enright} and \textit{P. H. Muir}, SIAM J. Sci. Comput. 17, No. 2, 479--497 (1996; Zbl 0844.65064) Full Text: DOI