The numerical analysis of ordinary differential equations. Runge-Kutta and general linear methods. Zbl 0616.65072
Butcher, J. C. |
|
1987
|
Numerical methods for ordinary differential equations.
2nd revised ed. Zbl 1167.65041
Butcher, J. C. |
|
2008
|
Numerical methods for ordinary differential equations.
3rd edition. Zbl 1354.65004
Butcher, J. C. |
|
2016
|
Implicit Runge-Kutta processes. Zbl 0123.11701
Butcher, J. C. |
|
1964
|
Numerical methods for ordinary differential equations. Zbl 1040.65057
Butcher, J. C. |
|
2003
|
Stability criteria for implicit Runge-Kutta methods. Zbl 0396.65043
Burrage, Kevin; Butcher, J. C. |
|
1979
|
An algebraic theory of integration methods. Zbl 0258.65070
Butcher, J. C. |
|
1972
|
Coefficients for the study of Runge-Kutta integration processes. Zbl 0223.65031
Butcher, J. C. |
|
1963
|
Non-linear stability of a general class of differential equation methods. Zbl 0431.65051
Burrage, Kevin; Butcher, J. C. |
|
1980
|
On Runge-Kutta processes of high order. Zbl 0244.65046
Butcher, J. C. |
|
1964
|
Modern numerical methods for ordinary differential equations. Zbl 0348.65064
|
|
1976
|
On the implementation of implicit Runge-Kutta methods. Zbl 0336.65037
Butcher, J. C. |
|
1976
|
On the convergence of numerical solutions to ordinary differential equations. Zbl 0141.13504
Butcher, J. C. |
|
1966
|
Diagonally-implicit multi-stage integration methods. Zbl 0773.65046
Butcher, J. C. |
|
1993
|
Some numerical methods for stiff problems. Zbl 1032.65512
Butcher, J. C. |
|
2003
|
A stability property of implicit Runge-Kutta methods. Zbl 0333.65031
Butcher, J. C. |
|
1975
|
An implementation of singly-implicit Runge-Kutta methods. Zbl 0456.65040
Burrage, K.; Butcher, J. C.; Chipman, F. H. |
|
1980
|
General linear methods. Zbl 1113.65072
Butcher, J. C. |
|
2006
|
Second derivative methods with RK stability. Zbl 1084.65069
Butcher, J. C.; Hojjati, G. |
|
2005
|
The order of numerical methods for ordinary differential equations. Zbl 0278.65073
Butcher, J. C. |
|
1973
|
Integration processes based on Radau quadrature formulas. Zbl 0123.11702
Butcher, J. C. |
|
1964
|
Diagonally implicit general linear methods for ordinary differential equations. Zbl 0795.65043
Butcher, J. C.; Jackiewicz, Z. |
|
1993
|
A modified multistep method for the numerical integration of ordinary differential equations. Zbl 0125.07102
Butcher, J. C. |
|
1965
|
The construction of practical general linear methods. Zbl 1046.65054
Butcher, J. C.; Wright, W. M. |
|
2003
|
Implementation of diagonally implicit multistage integration methods for ordinary differential equations. Zbl 0892.65044
Butcher, J. C.; Jackiewicz, Z. |
|
1997
|
Construction of high order diagonally implicit multistage integration methods for ordinary differential equations. Zbl 0933.65080
Butcher, J. C.; Jackiewicz, Z. |
|
1998
|
Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations. Zbl 0865.65056
Butcher, J. C.; Jackiewicz, Z. |
|
1996
|
The effective order of Runge-Kutta methods. Zbl 0185.41301
Butcher, J. C. |
|
1969
|
An iteration scheme for implicit Runge-Kutta methods. Zbl 0525.65052
Cooper, G. J.; Butcher, J. C. |
|
1983
|
A characterization of energy-preserving methods and the construction of parallel integrators for Hamiltonian systems. Zbl 1342.65232
Miyatake, Yuto; Butcher, John C. |
|
2016
|
A transformed implicit Runge-Kutta method. Zbl 0439.65057
Butcher, J. C. |
|
1979
|
Numerical methods for ordinary differential equations in the 20th century. Zbl 0969.65063
Butcher, J. C. |
|
2000
|
A history of Runge-Kutta methods. Zbl 0858.65073
Butcher, J. C. |
|
1996
|
Trees and numerical methods for ordinary differential equations. Zbl 1184.65072
Butcher, J. C. |
|
2010
|
On the attainable order of Runge-Kutta methods. Zbl 0132.36401
Butcher, J. C. |
|
1965
|
Order conditions for two-step Runge-Kutta methods. Zbl 0906.65077
Butcher, J. C.; Tracogna, S. |
|
1997
|
The control of parasitism in \(G\)-symplectic methods. Zbl 1309.65148
Butcher, John C.; Habib, Yousaf; Hill, Adrian T.; Norton, Terence J. T. |
|
2014
|
Experiments with a variable-order type 1 DIMSIM code. Zbl 0958.65083
Butcher, J. C.; Chartier, P.; Jackiewicz, Z. |
|
1999
|
Construction of general linear methods with Runge-Kutta stability properties. Zbl 1055.65083
Butcher, J. C.; Jackiewicz, Z. |
|
2004
|
A multistep generalization of Runge-Kutta methods with four or five stages. Zbl 0168.13901
Butcher, J. C. |
|
1967
|
General linear methods for stiff differential equations. Zbl 0983.65085
Butcher, J. C. |
|
2001
|
Nordsieck representation of DIMSIMs. Zbl 0920.65043
Butcher, J. C.; Chartier, P.; Jackiewicz, Z. |
|
1997
|
Error propagation of general linear methods for ordinary differential equations. Zbl 1131.65068
Butcher, J. C.; Jackiewicz, Z.; Wright, W. M. |
|
2007
|
A new approach to error estimation for general linear methods. Zbl 1032.65088
Butcher, J. C.; Jackiewicz, Z. |
|
2003
|
A new type of singly-implicit Runge-Kutta method. Zbl 0954.65058
Butcher, J. C.; Chen, D. J. L. |
|
2000
|
B-series. Algebraic analysis of numerical methods. Zbl 07332820
Butcher, John C. |
|
2021
|
The equivalence of algebraic stability and AN-stability. Zbl 0637.65083
Butcher, J. C. |
|
1987
|
A nonlinear optimization approach to the construction of general linear methods of high order. Zbl 0879.65051
Butcher, J. C.; Jackiewicz, Z.; Mittelmann, H. D. |
|
1997
|
ARK methods for stiff problems. Zbl 1070.65059
Butcher, John C.; Rattenbury, Nicolette |
|
2005
|
Unconditionally stable general linear methods for ordinary differential equations. Zbl 1066.65078
Butcher, J. C.; Jackiewicz, Z. |
|
2004
|
Towards efficient Runge-Kutta methods for stiff systems. Zbl 0702.65072
Butcher, J. C.; Cash, J. R. |
|
1990
|
The existence of symplectic general linear methods. Zbl 1176.65080
Butcher, J. C.; Hewitt, L. L. |
|
2009
|
Runge-Kutta methods: Some historical notes. Zbl 0867.65038
Butcher, J. C.; Wanner, G. |
|
1996
|
Stability of numerical methods for ordinary differential equations. Zbl 1016.65059
Butcher, J. C.; Heard, A. D. |
|
2002
|
DESIRE: Diagonally extended singly implicit Runge-Kutta effective order methods. Zbl 0908.65064
Butcher, J. C.; Diamantakis, M. T. |
|
1998
|
The effective order of singly-implicit Runge-Kutta methods. Zbl 0936.65089
Butcher, J. C.; Chartier, P. |
|
1999
|
Trees, B-series and exponential integrators. Zbl 1185.65121
Butcher, J. C. |
|
2010
|
On error estimation in general linear methods for stiff ODEs. Zbl 1089.65080
Butcher, J. C.; Podhaisky, H. |
|
2006
|
The number of conditions for a Runge-Kutta method to have effective order \(p\). Zbl 0867.65039
Butcher, J. C.; Sanz-Serna, J. M. |
|
1996
|
DESI methods for stiff initial-value problems. Zbl 0884.65077
Butcher, J. C.; Cash, J. R.; Diamantakis, M. T. |
|
1996
|
On A-stable implicit Runge-Kutta methods. Zbl 0378.65039
Butcher, J. C. |
|
1977
|
Order and stability of generalized Padé approximations. Zbl 1182.65111
Butcher, J. C. |
|
2009
|
Linear multistep methods as irreducible general linear methods. Zbl 1102.65078
Butcher, J. C.; Hill, A. T. |
|
2006
|
Linear and non-linear stability for general linear methods. Zbl 0623.65074
Butcher, J. C. |
|
1987
|
A reliable error estimation for diagonally implicit multistage integration methods. Zbl 0998.65081
Butcher, J. C.; Jackiewicz, Z. |
|
2001
|
An introduction to “Almost Runge-Kutta” methods. Zbl 0905.65085
Butcher, J. C. |
|
1997
|
General linear methods. Zbl 0874.65057
Butcher, J. C. |
|
1996
|
The non-existence of ten stage eighth order explicit Runge-Kutta methods. Zbl 0579.65066
Butcher, J. C. |
|
1985
|
A generalization of singly-implicit methods. Zbl 0484.65048
Butcher, J. C. |
|
1981
|
Partitioned general linear methods for separable Hamiltonian problems. Zbl 1365.65272
Butcher, John C.; D’Ambrosio, Raffaele |
|
2017
|
Order bounds for second derivative approximations. Zbl 1247.65103
Abdi, A.; Butcher, J. C. |
|
2012
|
The role of orthogonal polynomials in numerical ordinary differential equations. Zbl 0768.65040
Butcher, J. C. |
|
1992
|
Towards efficient implementation of singly-implicit methods. Zbl 0639.65041
Butcher, J. C. |
|
1988
|
A generalization of singly-implicit Runge-Kutta methods. Zbl 0906.65076
Butcher, J. C.; Chartier, P. |
|
1997
|
A transformation relating explicit and diagonally-implicit general linear methods. Zbl 1016.65048
Butcher, J. C.; Wright, W. M. |
|
2003
|
Dealing with parasitic behaviour in G-symplectic integrators. Zbl 1263.65068
Butcher, J. C. |
|
2013
|
The adaptation of STRIDE to delay differential equations. Zbl 0776.65049
Butcher, J. C. |
|
1992
|
General linear method: A survey. Zbl 0619.65057
Butcher, J. C. |
|
1985
|
Applications of doubly companion matrices. Zbl 1089.65065
Butcher, J. C.; Wright, W. M. |
|
2006
|
Thirty years of G-stability. Zbl 1105.65085
Butcher, J. C. |
|
2006
|
General linear methods for the parallel solution of ordinary differential equations. Zbl 0834.65059
Butcher, J. C. |
|
1993
|
On the integration processes of A. Huta. Zbl 0223.65032
Butcher, J. C. |
|
1963
|
Symmetric general linear methods. Zbl 1355.65095
Butcher, J. C.; Hill, A. T.; Norton, T. J. T. |
|
2016
|
The \(A\)-stability of methods with Padé and generalized Padé stability functions. Zbl 1016.65057
Butcher, J. C. |
|
2002
|
High order A-stable numerical methods for stiff problems. Zbl 1203.65106
Butcher, J. C. |
|
2005
|
Some implementation schemes for implicit Runge-Kutta methods. Zbl 0447.65042
Butcher, J. C. |
|
1980
|
On fifth and sixth order explicit Runge-Kutta methods: order conditions and order barriers. Zbl 1229.65119
Butcher, J. C. |
|
2009
|
Generalized Padé approximations to the exponential function. Zbl 0789.65063
Butcher, J. C.; Chipman, F. H. |
|
1992
|
A transformation for the analysis of DIMSIMs. Zbl 0814.65079
Butcher, J. C. |
|
1994
|
Order and stability of parallel methods for stiff problems. Zbl 0884.65090
Butcher, J. C. |
|
1997
|
Error estimation for Nordsieck methods. Zbl 1012.65083
Butcher, J. C.; Jackiewicz, Z. |
|
2002
|
Polynomial algebra for Birkhoff interpolants. Zbl 1218.41002
Butcher, John C.; Corless, Robert M.; Gonzalez-Vega, Laureano; Shakoori, Azar |
|
2011
|
On sequences of imbedded integration rules. Zbl 0635.41024
Rabinowitz, Philip; Kautsky, Jaroslav; Elhay, Sylvan; Butcher, John C. |
|
1987
|
Random sampling from the normal distribution. Zbl 0094.13503
Butcher, J. C. |
|
1961
|
Forty-five years of A-stability. Zbl 1191.65109
Butcher, J. C. |
|
2009
|
Practical Runge-Kutta methods for scientific computation. Zbl 1178.65083
Butcher, J. C. |
|
2009
|
An order bound for Runge-Kutta methods. Zbl 0318.65030
Butcher, J. C. |
|
1975
|
Applications of order arrows. Zbl 1241.65070
Abdi, A.; Butcher, J. C. |
|
2012
|
Optimal order and stepsize sequences. Zbl 0615.65076
Butcher, J. C. |
|
1986
|
Parallel general linear methods for stiff ordinary differential and differential algebraic equations. Zbl 0833.65073
Butcher, J. C.; Chartier, P. |
|
1995
|
High-order linearly implicit schemes conserving quadratic invariants. Zbl 07705764
Sato, Shun; Miyatake, Yuto; Butcher, John C. |
|
2023
|
Isomeric trees and the order of Runge-Kutta methods. Zbl 1492.65202
Butcher, John C.; Podhaisky, Helmut |
|
2022
|
B-series. Algebraic analysis of numerical methods. Zbl 07332820
Butcher, John C. |
|
2021
|
Trees, stumps, and applications. Zbl 1432.65087
Butcher, John C. |
|
2018
|
Partitioned general linear methods for separable Hamiltonian problems. Zbl 1365.65272
Butcher, John C.; D’Ambrosio, Raffaele |
|
2017
|
A G-symplectic method with order 6. Zbl 1367.65190
Butcher, John C.; Imran, Gulshad; Podhaisky, Helmut |
|
2017
|
Numerical methods for ordinary differential equations.
3rd edition. Zbl 1354.65004
Butcher, J. C. |
|
2016
|
A characterization of energy-preserving methods and the construction of parallel integrators for Hamiltonian systems. Zbl 1342.65232
Miyatake, Yuto; Butcher, John C. |
|
2016
|
Symmetric general linear methods. Zbl 1355.65095
Butcher, J. C.; Hill, A. T.; Norton, T. J. T. |
|
2016
|
The cohesiveness of G-symplectic methods. Zbl 1330.65192
Butcher, J. C. |
|
2015
|
Order conditions for G-symplectic methods. Zbl 1338.65185
Butcher, John C.; Imran, Gulshad |
|
2015
|
Runge-Kutta methods for ordinary differential equations. Zbl 1330.65109
Butcher, J. C. |
|
2015
|
The control of parasitism in \(G\)-symplectic methods. Zbl 1309.65148
Butcher, John C.; Habib, Yousaf; Hill, Adrian T.; Norton, Terence J. T. |
|
2014
|
Symplectic effective order methods. Zbl 1291.65359
Butcher, John C.; Imran, Gulshad |
|
2014
|
Walter Gautschi, Volume 3. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh. Zbl 1292.01007
Gautschi, Walter |
|
2014
|
Dealing with parasitic behaviour in G-symplectic integrators. Zbl 1263.65068
Butcher, J. C. |
|
2013
|
Predictor-corrector Obreshkov pairs. Zbl 1307.65099
Butcher, John C.; Sehnalová, Pavla |
|
2013
|
Order bounds for second derivative approximations. Zbl 1247.65103
Abdi, A.; Butcher, J. C. |
|
2012
|
Applications of order arrows. Zbl 1241.65070
Abdi, A.; Butcher, J. C. |
|
2012
|
Polynomial algebra for Birkhoff interpolants. Zbl 1218.41002
Butcher, John C.; Corless, Robert M.; Gonzalez-Vega, Laureano; Shakoori, Azar |
|
2011
|
Trees and numerical methods for ordinary differential equations. Zbl 1184.65072
Butcher, J. C. |
|
2010
|
Trees, B-series and exponential integrators. Zbl 1185.65121
Butcher, J. C. |
|
2010
|
The tree and forest spaces with applications to initial-value problem methods. Zbl 1205.65211
Butcher, J. C.; Chan, T. M. H. |
|
2010
|
B-series and B-series coefficients. Zbl 1432.65096
Butcher, J. C. |
|
2010
|
The existence of symplectic general linear methods. Zbl 1176.65080
Butcher, J. C.; Hewitt, L. L. |
|
2009
|
Order and stability of generalized Padé approximations. Zbl 1182.65111
Butcher, J. C. |
|
2009
|
On fifth and sixth order explicit Runge-Kutta methods: order conditions and order barriers. Zbl 1229.65119
Butcher, J. C. |
|
2009
|
Forty-five years of A-stability. Zbl 1191.65109
Butcher, J. C. |
|
2009
|
Practical Runge-Kutta methods for scientific computation. Zbl 1178.65083
Butcher, J. C. |
|
2009
|
General linear methods for ordinary differential equations. Zbl 1159.65333
Butcher, John |
|
2009
|
B-series and B-series coefficients. Zbl 1182.65112
Butcher, J. C. |
|
2009
|
Numerical methods for ordinary differential equations.
2nd revised ed. Zbl 1167.65041
Butcher, J. C. |
|
2008
|
Error propagation of general linear methods for ordinary differential equations. Zbl 1131.65068
Butcher, J. C.; Jackiewicz, Z.; Wright, W. M. |
|
2007
|
General linear methods. Zbl 1113.65072
Butcher, J. C. |
|
2006
|
On error estimation in general linear methods for stiff ODEs. Zbl 1089.65080
Butcher, J. C.; Podhaisky, H. |
|
2006
|
Linear multistep methods as irreducible general linear methods. Zbl 1102.65078
Butcher, J. C.; Hill, A. T. |
|
2006
|
Applications of doubly companion matrices. Zbl 1089.65065
Butcher, J. C.; Wright, W. M. |
|
2006
|
Thirty years of G-stability. Zbl 1105.65085
Butcher, J. C. |
|
2006
|
Second derivative methods with RK stability. Zbl 1084.65069
Butcher, J. C.; Hojjati, G. |
|
2005
|
ARK methods for stiff problems. Zbl 1070.65059
Butcher, John C.; Rattenbury, Nicolette |
|
2005
|
High order A-stable numerical methods for stiff problems. Zbl 1203.65106
Butcher, J. C. |
|
2005
|
Construction of general linear methods with Runge-Kutta stability properties. Zbl 1055.65083
Butcher, J. C.; Jackiewicz, Z. |
|
2004
|
Unconditionally stable general linear methods for ordinary differential equations. Zbl 1066.65078
Butcher, J. C.; Jackiewicz, Z. |
|
2004
|
Numerical methods for ordinary differential equations. Zbl 1040.65057
Butcher, J. C. |
|
2003
|
Some numerical methods for stiff problems. Zbl 1032.65512
Butcher, J. C. |
|
2003
|
The construction of practical general linear methods. Zbl 1046.65054
Butcher, J. C.; Wright, W. M. |
|
2003
|
A new approach to error estimation for general linear methods. Zbl 1032.65088
Butcher, J. C.; Jackiewicz, Z. |
|
2003
|
A transformation relating explicit and diagonally-implicit general linear methods. Zbl 1016.65048
Butcher, J. C.; Wright, W. M. |
|
2003
|
Experiments with a new fifth order method. Zbl 1030.65081
Butcher, John C.; Moir, Nicolette |
|
2003
|
Stability of numerical methods for ordinary differential equations. Zbl 1016.65059
Butcher, J. C.; Heard, A. D. |
|
2002
|
The \(A\)-stability of methods with Padé and generalized Padé stability functions. Zbl 1016.65057
Butcher, J. C. |
|
2002
|
Error estimation for Nordsieck methods. Zbl 1012.65083
Butcher, J. C.; Jackiewicz, Z. |
|
2002
|
A new approach to the algebraic structures for integration methods. Zbl 1016.65047
Butcher, J. C.; Chan, T. M. H. |
|
2002
|
Nordsieck methods with an off-step point. Zbl 1012.65074
Butcher, J. C.; O’Sullivan, A. E. |
|
2002
|
Special issue: Numerical methods for ordinary differential equations (ANODE 2001), Auckland, New Zealand, January 8–12, 2001. Selected papers. Zbl 1017.00022
|
|
2002
|
General linear methods for stiff differential equations. Zbl 0983.65085
Butcher, J. C. |
|
2001
|
A reliable error estimation for diagonally implicit multistage integration methods. Zbl 0998.65081
Butcher, J. C.; Jackiewicz, Z. |
|
2001
|
On the implementation of ESIRK methods for stiff IVPs. Zbl 0974.65075
Butcher, J. C.; Chen, D. J. L. |
|
2001
|
Variable stepsize schemes for effective order methods and enhanced order composition methods. Zbl 0976.65067
Butcher, J. C.; Chan, T. M. H. |
|
2001
|
Numerical methods for ordinary differential equations in the 20th century. Zbl 0969.65063
Butcher, J. C. |
|
2000
|
A new type of singly-implicit Runge-Kutta method. Zbl 0954.65058
Butcher, J. C.; Chen, D. J. L. |
|
2000
|
The choice of parameters in parallel general linear methods for stiff problems. Zbl 0949.65076
Butcher, J. C.; Singh, A. D. |
|
2000
|
Multi-step zero approximations for stepsize control. Zbl 0951.65072
Butcher, J. C.; Chan, T. M. H. |
|
2000
|
Experiments with a variable-order type 1 DIMSIM code. Zbl 0958.65083
Butcher, J. C.; Chartier, P.; Jackiewicz, Z. |
|
1999
|
The effective order of singly-implicit Runge-Kutta methods. Zbl 0936.65089
Butcher, J. C.; Chartier, P. |
|
1999
|
Construction of high order diagonally implicit multistage integration methods for ordinary differential equations. Zbl 0933.65080
Butcher, J. C.; Jackiewicz, Z. |
|
1998
|
DESIRE: Diagonally extended singly implicit Runge-Kutta effective order methods. Zbl 0908.65064
Butcher, J. C.; Diamantakis, M. T. |
|
1998
|
Order and effective order. Zbl 0927.65095
Butcher, J. C. |
|
1998
|
Efficient Runge-Kutta integrators for index-2 differential algebraic equations. Zbl 0899.65048
Butcher, J. C.; Chan, R. P. K. |
|
1998
|
ESIRK methods and variable stepsize. Zbl 0927.65096
Butcher, J. C.; Chen, D. J. L. |
|
1998
|
ARK methods up to order five. Zbl 0907.65069
Butcher, J. C. |
|
1998
|
Implementation of diagonally implicit multistage integration methods for ordinary differential equations. Zbl 0892.65044
Butcher, J. C.; Jackiewicz, Z. |
|
1997
|
Order conditions for two-step Runge-Kutta methods. Zbl 0906.65077
Butcher, J. C.; Tracogna, S. |
|
1997
|
Nordsieck representation of DIMSIMs. Zbl 0920.65043
Butcher, J. C.; Chartier, P.; Jackiewicz, Z. |
|
1997
|
A nonlinear optimization approach to the construction of general linear methods of high order. Zbl 0879.65051
Butcher, J. C.; Jackiewicz, Z.; Mittelmann, H. D. |
|
1997
|
An introduction to “Almost Runge-Kutta” methods. Zbl 0905.65085
Butcher, J. C. |
|
1997
|
A generalization of singly-implicit Runge-Kutta methods. Zbl 0906.65076
Butcher, J. C.; Chartier, P. |
|
1997
|
Order and stability of parallel methods for stiff problems. Zbl 0884.65090
Butcher, J. C. |
|
1997
|
Numerical methods for differential equations and applications. Zbl 0912.65064
Butcher, J. C. |
|
1997
|
Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations. Zbl 0865.65056
Butcher, J. C.; Jackiewicz, Z. |
|
1996
|
A history of Runge-Kutta methods. Zbl 0858.65073
Butcher, J. C. |
|
1996
|
Runge-Kutta methods: Some historical notes. Zbl 0867.65038
Butcher, J. C.; Wanner, G. |
|
1996
|
The number of conditions for a Runge-Kutta method to have effective order \(p\). Zbl 0867.65039
Butcher, J. C.; Sanz-Serna, J. M. |
|
1996
|
DESI methods for stiff initial-value problems. Zbl 0884.65077
Butcher, J. C.; Cash, J. R.; Diamantakis, M. T. |
|
1996
|
General linear methods. Zbl 0874.65057
Butcher, J. C. |
|
1996
|
Parallel general linear methods for stiff ordinary differential and differential algebraic equations. Zbl 0833.65073
Butcher, J. C.; Chartier, P. |
|
1995
|
Defect correction for two-point boundary value problems on nonequidistant meshes. Zbl 0828.65102
Butcher, J. C.; Cash, J. R.; Moore, G.; Russell, R. D. |
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1995
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On fifth order Runge-Kutta methods. Zbl 0837.65073
Butcher, J. C. |
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1995
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An introduction to DIMSIMs. Zbl 0838.65078
Butcher, J. C. |
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1995
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A transformation for the analysis of DIMSIMs. Zbl 0814.65079
Butcher, J. C. |
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1994
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Some orbital test problems. Zbl 0806.65068
Butcher, J. C. |
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1994
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Initial value problems: Numerical methods and mathematics. Zbl 0817.65059
Butcher, J. C. |
|
1994
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Diagonally-implicit multi-stage integration methods. Zbl 0773.65046
Butcher, J. C. |
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1993
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Diagonally implicit general linear methods for ordinary differential equations. Zbl 0795.65043
Butcher, J. C.; Jackiewicz, Z. |
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1993
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General linear methods for the parallel solution of ordinary differential equations. Zbl 0834.65059
Butcher, J. C. |
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1993
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Estimating local truncation errors for Runge-Kutta methods. Zbl 0789.65066
Butcher, J. C.; Johnston, P. B. |
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1993
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The role of orthogonal polynomials in numerical ordinary differential equations. Zbl 0768.65040
Butcher, J. C. |
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1992
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The adaptation of STRIDE to delay differential equations. Zbl 0776.65049
Butcher, J. C. |
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1992
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Generalized Padé approximations to the exponential function. Zbl 0789.65063
Butcher, J. C.; Chipman, F. H. |
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1992
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On symmetrizers for Gauss method. Zbl 0723.65045
Butcher, J. C.; Chan, R. P. K. |
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1992
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...and 47 more Documents |