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[1] 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
[2] Georgios Akrivis.
Implicit--explicit multistep methods for nonlinear parabolic
equations.
Math. Comp.
82
(2013)
45-68.
Abstract, references, and article information
View Article: PDF
[3] Laurent O. Jay.
Specialized Runge-Kutta methods for index $2$ differential-algebraic equations.
Math. Comp.
75
(2006)
641-654.
MR 2196984.
Abstract, references, and article information
View Article: PDF
[4] Willem Hundsdorfer and Steven J. Ruuth.
On monotonicity and boundedness properties of linear multistep methods.
Math. Comp.
75
(2006)
655-672.
MR 2196985.
Abstract, references, and article information
View Article: PDF
[5] Steven J. Ruuth.
Global optimization of explicit strong-stability-preserving Runge-Kutta methods.
Math. Comp.
75
(2006)
183-207.
MR 2176394.
Abstract, references, and article information
View Article: PDF
[6] L. Ferracina and M. N. Spijker.
An extension and analysis of the Shu-Osher representation of Runge-Kutta methods.
Math. Comp.
74
(2005)
201-219.
MR 2085408.
Abstract, references, and article information
View Article: PDF
[7] Georgios Akrivis and Michel Crouzeix.
Linearly implicit methods for nonlinear parabolic equations.
Math. Comp.
73
(2004)
613-635.
MR 2031397.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[8] B. Cano and A. Durán.
Analysis of variable-stepsize linear multistep methods with special emphasis on symmetric ones.
Math. Comp.
72
(2003)
1769-1801.
MR 1986804.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[9] B. Cano and A. Durán.
A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems.
Math. Comp.
72
(2003)
1803-1816.
MR 1986805.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[10] 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
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[11] Theodoros Katsaounis and Charalambos Makridakis.
Finite volume relaxation schemes for multidimensional conservation laws.
Math. Comp.
70
(2001)
533-553.
MR 1681104.
Abstract, references, and article information
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This article is available free of charge
[12] C. González and C. Palencia.
Stability of Runge-Kutta methods for quasilinear parabolic problems.
Math. Comp.
69
(2000)
609-628.
MR 1659851.
Abstract, references, and article information
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This article is available free of charge
[13] Ibrahim Coulibaly and Christian Lécot.
A quasi-randomized Runge-Kutta method.
Math. Comp.
68
(1999)
651-659.
MR 1627781.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[14] Peter Eberhard and Christian Bischof.
Automatic differentiation of numerical integration algorithms.
Math. Comp.
68
(1999)
717-731.
MR 1613703.
Abstract, references, and article information
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This article is available free of charge
[15] 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
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This article is available free of charge
[16] Georgios Akrivis, Michel Crouzeix and Charalambos Makridakis.
Implicit-explicit multistep finite element methods for nonlinear parabolic problems.
Math. Comp.
67
(1998)
457-477.
MR 1458216.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[17] Sigal Gottlieb and Chi-Wang Shu.
Total variation diminishing Runge-Kutta schemes.
Math. Comp.
67
(1998)
73-85.
MR 1443118.
Abstract, references, and article information
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[18] J. H. Verner and M. Zennaro.
Continuous explicit Runge-Kutta methods of order
$5$
.
Math. Comp.
64
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1123-1146.
MR 1284672.
Abstract, references, and article information
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[19] Adrian T. Hill and Endre Süli.
Upper semicontinuity of attractors for linear
multistep methods approximating sectorial evolution
equations
.
Math. Comp.
64
(1995)
1097-1122.
MR 1297470.
Abstract, references, and article information
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[20] Shou Fu Li.
$B$-convergence properties of multistep Runge-Kutta
methods
.
Math. Comp.
62
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565-575.
MR 1201071.
Abstract, references, and article information
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[21] Paul Muir and Brynjulf Owren.
Order barriers and characterizations for continuous
mono-implicit Runge-Kutta schemes
.
Math. Comp.
61
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675-699.
MR 1195425.
Abstract, references, and article information
View Article: PDF
[22] R. A. Trompert and J. G. Verwer.
Runge-Kutta methods and local uniform grid
refinement
.
Math. Comp.
60
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591-616.
MR 1181332.
Abstract, references, and article information
View Article: PDF
[23] L. Abia and J. M. Sanz-Serna.
Partitioned Runge-Kutta methods for separable
Hamiltonian problems
.
Math. Comp.
60
(1993)
617-634.
MR 1181328.
Abstract, references, and article information
View Article: PDF
[24] Z. Jackiewicz and M. Zennaro.
Variable-stepsize explicit two-step Runge-Kutta
methods
.
Math. Comp.
59
(1992)
421-438.
MR 1136222.
Abstract, references, and article information
View Article: PDF
[25] A. Ostermann and M. Roche.
Runge-Kutta methods for partial differential
equations and fractional orders of convergence
.
Math. Comp.
59
(1992)
403-420.
MR 1142285.
Abstract, references, and article information
View Article: PDF
[26] Daniel Okunbor and Robert D. Skeel.
Explicit canonical methods for Hamiltonian
systems
.
Math. Comp.
59
(1992)
439-455.
MR 1136225.
Abstract, references, and article information
View Article: PDF
[27] P. J. van der Houwen, B. P. Sommeijer and W. Couzy.
Embedded diagonally implicit Runge-Kutta algorithms
on parallel computers
.
Math. Comp.
58
(1992)
135-159.
MR 1106986.
Abstract, references, and article information
View Article: PDF
[28] G. J. Cooper.
On the implementation of singly implicit
Runge-Kutta methods
.
Math. Comp.
57
(1991)
663-672.
MR 1094945.
Abstract, references, and article information
View Article: PDF
[29] Brynjulf Owren and Marino Zennaro.
Order barriers for continuous explicit Runge-Kutta
methods
.
Math. Comp.
56
(1991)
645-661.
MR 1068811.
Abstract, references, and article information
View Article: PDF
[30] Claus Schneider.
Rosenbrock-type methods adapted to
differential-algebraic systems
.
Math. Comp.
56
(1991)
201-213.
MR 1052102.
Abstract, references, and article information
View Article: PDF
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