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[1] Jianhai Bao and Chenggui Yuan.
Convergence rate of EM scheme for SDDEs.
Proc. Amer. Math. Soc.
Abstract, references, and article information
View Article: PDF
[2] Junying Cao and Chuanju Xu.
A High Order Schema for the Numerical Solution of Ordinary
Fractional Differential Equations.
Contemp. Math.
586
(2013)
93-103.
Book volume table of contents
View Article: PDF
[3] V. L. Makarov, D. V. Dragunov and Ya. V. Klimenko.
The FD-method for solving Sturm-Liouville problems with special singular differential operator.
Math. Comp.
82
(2013)
953-973.
Abstract, references, and article information
View Article: PDF
[4] Sunyoung Bu, Jingfang Huang and Michael L. Minion.
Semi-implicit Krylov deferred correction methods for differential algebraic equations.
Math. Comp.
81
(2012)
2127-2157.
Abstract, references, and article information
View Article: PDF
[5] M. Z. Liu, Z. W. Yang and Y. Xu.
The stability of modified Runge-Kutta methods for the pantograph equation.
Math. Comp.
75
(2006)
1201-1215.
MR 2219025.
Abstract, references, and article information
View Article: PDF
[6] P. A. Farrell, E. O'Riordan and G. I. Shishkin.
A class of singularly perturbed semilinear differential equations
with interior layers.
Math. Comp.
74
(2005)
1759-1776.
MR 2164095.
Abstract, references, and article information
View Article: PDF
[7] Roswitha März and Antonio R. Rodríguez-Santiesteban.
Analyzing the stability behaviour of solutions and their approximations in case of index-$2$ differential-algebraic systems.
Math. Comp.
71
(2002)
605-632.
MR 1885617.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[8] Nikolai Bakaev and Alexander Ostermann.
Long-term stability of variable stepsize approximations of semigroups.
Math. Comp.
71
(2002)
1545-1567.
MR 1933044.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[9] C. González, A. Ostermann, C. Palencia and M. Thalhammer.
Backward Euler discretization of fully nonlinear parabolic problems.
Math. Comp.
71
(2002)
125-145.
MR 1862991.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[10] M. Ganesh and O. Steinbach.
Boundary element methods for potential problems with nonlinear boundary conditions.
Math. Comp.
70
(2001)
1031-1042.
MR 1826575.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[11] Ming-Chia Li.
Structural stability on basins for numerical methods.
Proc. Amer. Math. Soc.
127
(1999)
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MR 1469420.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[12] J. C. Butcher and R. P. K. Chan.
Efficient Runge-Kutta integrators for index-2 differential algebraic equations.
Math. Comp.
67
(1998)
1001-1021.
MR 1464142.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[13] Mohamed Bin Suleiman.
Some necessary conditions for convergence of the
GBDF methods
.
Math. Comp.
60
(1993)
635-649.
MR 1176717.
Abstract, references, and article information
View Article: PDF
[14] Martin Buhmann and Arieh Iserles.
Stability of the discretized pantograph
differential equation
.
Math. Comp.
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(1993)
575-589.
MR 1176707.
Abstract, references, and article information
View Article: PDF
[15] H. W. J. Lenferink and M. N. Spijker.
On the use of stability regions in the numerical
analysis of initial value problems
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Math. Comp.
57
(1991)
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MR 1079026.
Abstract, references, and article information
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[16] H. W. J. Lenferink and M. N. Spijker.
On a generalization of the resolvent condition in
the Kreiss matrix theorem
.
Math. Comp.
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211-220.
MR 1079025.
Abstract, references, and article information
View Article: PDF
[17] H. W. J. Lenferink.
Contractivity-preserving implicit linear multistep
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.
Math. Comp.
56
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177-199.
MR 1052098.
Abstract, references, and article information
View Article: PDF
[18] Shou Fu Li and Baogen Ruan.
Nonlinear stability of multistep multiderivative
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.
Math. Comp.
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MR 1035938.
Abstract, references, and article information
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[19] George Majda.
Stability with large step sizes for multistep
discretizations of stiff ordinary differential equations
.
Math. Comp.
47
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MR 856698.
Abstract, references, and article information
View Article: PDF
[20] M. C. Delfour and F. Dubeau.
Discontinuous polynomial approximations in the
theory of one-step, hybrid and multistep methods for
nonlinear ordinary differential equations
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Math. Comp.
47
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169--189, S1--S8.
MR 842129.
Abstract, references, and article information
View Article: PDF
[21] M. N. Spijker.
Stepsize restrictions for stability of one-step
methods in the numerical solution of initial value
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.
Math. Comp.
45
(1985)
377-392.
MR 804930.
Abstract, references, and article information
View Article: PDF
[22] J. D. Day and D. N. P. Murthy.
Two classes of internally $S$-stable generalized
Runge-Kutta processes which remain consistent with an
inaccurate Jacobian
.
Math. Comp.
39
(1982)
491-509.
MR 669642.
Abstract, references, and article information
View Article: PDF
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