References
- Amodio , P. and Brugnano , L. 1997 . Parallel implementation of block boundary value methods for ODEs . J. Comput. Appl. Math. , 78 : 197 – 211 . (doi:10.1016/S0377-0427(96)00112-4)
- Amodio , P. and Brugnano , L. 1997 . Parallel ODE solvers based on block BVMs . Adv. Comput. Math. , 7 : 5 – 26 . (doi:10.1023/A:1018926314954)
- Amodio , P. and Mazzia , F. 1995 . A boundary value approach to the numerical solution of initial value problems by multistep methods . J. Difference Equ. Appl. , 1 : 353 – 367 . (doi:10.1080/10236199508808034)
- Brugnano , L. 1997 . Essentially symplectic boundary value methods for linear Hamiltonian systems . J. Comput. Math. , 15 : 233 – 252 .
- Brugnano , L. and Trigiante , D. 1996 . Convergence and stability of boundary value methods for ordinary differential equations . J. Comput. Appl. Math. , 66 : 97 – 109 . (doi:10.1016/0377-0427(95)00166-2)
- Brugnano , L. and Trigiante , D. 1997 . Block boundary value methods for linear Hamiltonian systems . Appl. Math. Comput. , 81 : 49 – 68 . (doi:10.1016/0096-3003(95)00308-8)
- Brugnano , L. and Trigiante , D. 1998 . Boundary value methods: The third way between linear multistep and Runge–Kutta methods . Comput. Math. Appl. , 36 : 269 – 284 . (doi:10.1016/S0898-1221(98)80028-X)
- Brugnano , L. and Triginate , D. 1998 . Solving ODEs by Linear Multistep Initial and Boundary Value Methods , Amsterdam : Gordon and Breach Science Publishers .
- Brugnano , L. and Triginate , D. 2001 . “ Block implicit methods for ODEs ” . In Recent Trends in Numerical Analysis , Edited by: Trigiante , D. 81 – 105 . New York : Nova Science Publishers, Inc .
- Brunner , H. The numerical solutions of neutral Volterra integro-differential equations with delay arguments . Proceedings SCADE’ 93 . Auckland .
- Chen , H. and Zhang , C. J. 2011 . Boundary value methods for Volterra integral and integro-differential equations . Appl. Math. Comput. , 218 : 2619 – 2630 . (doi:10.1016/j.amc.2011.08.001)
- Chen , H. and Zhang , C. J. 2012 . Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations . Appl. Numer. Math. , 62 : 141 – 154 . (doi:10.1016/j.apnum.2011.11.001)
- Iavernaro , F. and Mazzia , F. 1998 . Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques . Appl. Numer. Math. , 28 : 107 – 126 . (doi:10.1016/S0168-9274(98)00039-7)
- Iavernaro , F. and Mazzia , F. 1999 . Block-boundary value methods for the solution of ordinary differential equations . SIAM J. Sci. Comput. , 21 : 323 – 339 . (doi:10.1137/S1064827597325785)
- Kuang , J. X. , Xiang , J. X. and Tian , H. J. 1994 . The asymptotic stability of one parameter methods for neutral differential equations . BIT Numer. Math. , 34 : 400 – 408 . (doi:10.1007/BF01935649)
- Lancaster , P. and Tismenetsky , M. 1985 . The Theory of Matrices , Orlando, FL : Academic Press .
- Mazzia , F. and Sestini , A. 2009 . The BS class of Hermite spline quasi-interpolants on nonuniform knot distributions . BIT Numer. Math. , 49 : 611 – 628 . (doi:10.1007/s10543-009-0229-9)
- Mazzia , F. and Sestini , A. 2012 . Quadrature formulas descending from BS Hermite spline quasi-interpolation . J. Comput. Appl. Math. , 236 : 4105 – 4118 . (doi:10.1016/j.cam.2012.03.015)
- Mazzia , F. , Sestini , A. and Trigiante , D. 2006 . B-spline linear multistep methods and their continuous extensions . SIAM J. Numer. Anal. , 44 : 1954 – 1973 . (doi:10.1137/040614748)
- Mazzia , F. , Sestini , A. and Trigiante , D. 2009 . The continuous extension of the B-spline linear multistep methods for BVPs on non-uniform meshes . Appl. Numer. Math. , 59 : 723 – 738 . (doi:10.1016/j.apnum.2008.03.036)
- Zhang , C. J. and Chen , H. 2010 . Asymptotic stability of block boundary value methods for delay differential-algebraic equations . Math. Comput. Simul. , 81 : 100 – 108 . (doi:10.1016/j.matcom.2010.07.012)
- Zhang , C. J. and Chen , H. 2010 . Block boundary value methods for delay differential equations . Appl. Numer. Math. , 60 : 915 – 923 . (doi:10.1016/j.apnum.2010.05.001)
- Zhao , J. J. , Xu , Y. and Liu , M. Z. 2005 . Stability analysis of numerical methods for linear Volterra delay-integro-differential system . Appl. Math. Comput. , 167 : 1062 – 1079 . (doi:10.1016/j.amc.2004.08.003)