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Cash, Jeff R.

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Author ID: cash.jeff-r Recent zbMATH articles by "Cash, Jeff R."
Published as: Cash, J. R.; Cash, Jeff R.; Cash, Jeff; Cash, J.
Homepage: http://www.imperial.ac.uk/people/j.cash
External Links: MGP
Documents Indexed: 121 Publications since 1972, including 6 Books

Publications by Year

Citations contained in zbMATH Open

95 Publications have been cited 1,167 times in 680 Documents Cited by Year
A variable step method for the numerical integration of the one- dimensional Schrödinger equation. Zbl 0578.65086
Raptis, A. D.; Cash, J. R.
99
1985
Exponential and Bessel fitting methods for the numerical solution of the Schrödinger equation. Zbl 0664.65090
Raptis, A. D.; Cash, J. R.
57
1987
On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae. Zbl 0411.65040
Cash, J. R.
54
1980
The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae. Zbl 0526.65052
Cash, J. R.
54
1983
High order P-stable formulae for the numerical integration of periodic initial value problems. Zbl 0488.65029
Cash, J. R.
51
1981
A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides. Zbl 0900.65234
Cash, J. R.; Karp, Alan H.
43
1990
A deferred correction method for nonlinear two-point boundary value problems: Implementation and numerical evaluation. Zbl 0727.65070
Cash, J. R.; Wright, M. H.
41
1991
Second derivative extended backward differentiation formulas for the numerical integration of stiff systems. Zbl 0452.65047
Cash, J. R.
41
1981
Diagonally implicit Runge-Kutta formulae with error estimates. Zbl 0419.65044
Cash, J. R.
36
1979
An MEBDF code for stiff initial value problems. Zbl 0893.65049
Cash, J. R.; Considine, S.
27
1992
High order methods for the numerical solution of two-point boundary value problems. Zbl 0494.65049
Cash, J. R.; Singhal, A.
26
1982
Stable recursions. With applications to the numerical solution of stiff systems. Zbl 0498.65035
Cash, J. R.
26
1979
A sixth-order exponentially fitted method for the numerical solution of the radial Schrödinger equation. Zbl 0717.65056
Cash, J. R.; Raptis, A. D.; Simos, T. E.
25
1990
A high order method for the numerical solution of two-point boundary value problems. Zbl 0448.65048
Cash, J. R.; Moore, D. R.
25
1980
Mono-implicit Runge-Kutta formulae for the numerical integration of stiff differential systems. Zbl 0488.65031
Cash, J. R.; Singhal, A.
24
1982
Lobatto-Obrechkoff formulae for second order two-point boundary value problems. Zbl 1108.65080
Capper, S. D.; Cash, J. R.; Moore, D. R.
21
2006
Variable step Runge-Kutta-Nyström methods for the numerical solution of reversible systems. Zbl 1108.65074
Cash, J. R.; Girdlestone, S.
21
2006
Hybrid mesh selection algorithms based on conditioning for two-point boundary value problems. Zbl 1108.65082
Cash, Jeff R.; Mazzia, Francesca
21
2006
On the numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections. II: The development and analysis of highly stable deferred correction formulae. Zbl 0658.65070
Cash, J. R.
21
1988
Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs. Zbl 0971.65063
Cash, J. R.
20
2000
An automatic continuation strategy for the solution of singularly perturbed linear two-point boundary value problems. Zbl 0840.65084
Cash, J. R.; Moore, G.; Wright, R. W.
18
1995
The derivation of interpolants for nonlinear two-point boundary value problems. Zbl 1108.65081
Cash, J. R.; Sumarti, N.; Abdulla, T. J.; Vieira, I.
17
2006
Efficient P-stable methods for periodic initial value problems. Zbl 0558.65053
Cash, J. R.
16
1984
Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. Zbl 1051.65018
Amodio, P.; Cash, J. R.; Roussos, G.; Wright, R. W.; Fairweather, G.; Gladwell, I.; Kraut, G. L.; Paprzycki, M.
15
2000
Two new finite difference schemes for parabolic equations. Zbl 0553.65084
Cash, J. R.
15
1984
Towards efficient Runge-Kutta methods for stiff systems. Zbl 0702.65072
Butcher, J. C.; Cash, J. R.
14
1990
On the exponential fitting of composite, multiderivative linear multistep methods. Zbl 0488.65027
Cash, J. R.
14
1981
Numerical integration of nonlinear two-point boundary-value problems using iterated deferred corrections. I: A survey and comparison of some one-step formulae. Zbl 0618.65071
Cash, J. R.
13
1986
A stability result for general linear methods with characteristic function having real poles only. Zbl 0915.65095
Psihoyios, G.-Y.; Cash, J. R.
12
1998
Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations. Zbl 1048.65070
Cash, J. R.
12
2003
A note on the numerical solution of linear recurrence relations. Zbl 0411.65068
Cash, J. R.
12
1980
DESI methods for stiff initial-value problems. Zbl 0884.65077
Butcher, J. C.; Cash, J. R.; Diamantakis, M. T.
11
1996
Semi-implicit Runge-Kutta procedures with error estimates for the numerical integration of stiff systems of ordinary differential equations. Zbl 0335.65029
Cash, J. R.
11
1976
A class of implicit Runge-Kutta methods for the numerical integral of stiff ordinary differential equations. Zbl 0366.65029
Cash, J. R.
11
1975
Advanced steppoint methods for initial value problems. Zbl 0843.65053
Cash, J. R.; Psihoyios, Y.
10
1995
On a class of implicit Runge-Kutta procedures. Zbl 0364.65051
Cash, J. R.
9
1977
A new mesh selection algorithm, based on conditioning, for two-point boundary value codes. Zbl 1076.65065
Cash, J. R.; Mazzia, F.
9
2005
Numerical solution of singular two point BVPs. Zbl 1191.65099
Cash, J.; Kitzhofer, G.; Koch, O.; Moore, G.; Weinmüller, E.
8
2009
High order methods for the numerical integration of ordinary differential equations. Zbl 0369.65019
Cash, J. R.
8
1978
An automatic continuation strategy for the solution of singularly perturbed nonlinear boundary value problems. Zbl 1070.65554
Cash, J. R.; Moore, G.; Wright, R. W.
8
2001
Split linear multistep methods for the numerical integration of stiff differential systems. Zbl 0546.65049
Cash, J. R.
8
1983
Algorithm 927, the MATLAB code bvptwp.m for the numerical solution of two point boundary value problems. Zbl 1295.65142
Cash, J. R.; Hollevoet, D.; Mazzia, F.; Nagy, A. M.
8
2013
Lobatto deferred correction for stiff two-point boundary value problems. Zbl 0933.65086
Bashir-Ali, Z.; Cash, J. R.; Silva, H. H. M.
7
1998
Implementation issues in solving nonlinear equations for two-point boundary value problems. Zbl 0721.65043
Cash, J. R.; Wright, Margaret H.
7
1990
An extension of Olver’s method for the numerical solution of linear recurrence relations. Zbl 0376.65044
Cash, J. R.
7
1978
On the design of a variable order, variable step diagonally implicit Runge-Kutta algorithm. Zbl 0441.65056
Cash, J. R.; Liem, C. B.
7
1980
A comparison of some global methods for solving two-point boundary value problems. Zbl 0675.65075
Cash, J. R.
7
1989
Solving boundary value problems in the open source software R: package bvpSolve. Zbl 1293.65104
Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline
6
2014
A variable order deferred correction algorithm for the numerical solution of nonlinear two point boundary value problems. Zbl 0521.65069
Cash, J. R.
6
1983
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.
5
1995
Iterated deferred correction for linear two-point boundary value problems. Zbl 0848.65059
Cash, J. R.; Silva, H. H. M.
5
1996
The MOL solution of time dependent partial differential equations. Zbl 0853.65095
Cash, J. R.; Psihoyios, Y.
5
1996
Solving differential equations in R. Zbl 1252.65138
Soetaert, Karline; Cash, Jeff; Mazzia, Francesca
5
2012
A block method for the numerical integration of stiff systems of ordinary differential equations. Zbl 0423.65041
Bond, J. E.; Cash, J. R.
5
1979
A modified Adams method for non stiff and mildly stiff initial value problems. Zbl 0889.65084
Cash, J. R.; Semnani, S.
4
1993
On the implementation of block Runge-Kutta methods for stiff IVPs. Zbl 0855.65078
Cash, J. R.; Diamantakis, M. T.
4
1994
A note on the iterative solution of recurrence relations. Zbl 0341.65084
Cash, J. R.
4
1977
A note on the computational aspects of a class of implicit Runge-Kutta procedures. Zbl 0386.65033
Cash, J. R.
4
1977
Stochastic analysis with applications to mathematical finance. Zbl 1092.60501
Cash, J. R. (ed.)
4
2004
Mesh selection for stiff two-point boundary value problems. Zbl 0804.65077
Wright, R.; Cash, J.; Moore, G.
4
1994
The role of conditioning in mesh selection algorithms for first order systems of linear two point boundary value problems. Zbl 1077.65084
Cash, J. R.; Mazzia, F.; Sumarti, N.; Trigiante, D.
4
2006
Adaptive Runge-Kutta methods for nonlinear two-point boundary value problems with mild boundary layers. Zbl 0579.65079
Cash, J. R.
4
1985
On the design of high order exponentially fitted formulae for the numerical integration of stiff systems. Zbl 0488.65028
Cash, J. R.
4
1981
Superconvergent deferred correction methods for first order systems of nonlinear two-point boundary value problems. Zbl 0981.65088
Van Daele, Marnix; Cash, Jeff R.
3
2000
An MEBDF package for the numerical solution of large sparse systems of stiff initial value problems. Zbl 0983.65081
Abdulla, T. J.; Cash, J. R.; Diamantakis, M. T.
3
2001
Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems. Zbl 0926.65078
Cash, J. R.; Wright, R. W.
3
1998
A class of iterative algorithms for the integration of stiff systems of ordinary differential equations. Zbl 0355.65056
Cash, J. R.
3
1977
A variable step Runge-Kutta-Nyström integrator for reversible systems of second order initial value problems. Zbl 1121.65335
Cash, J. R.
3
2005
A note on Olver’s algorithm for the solution of second-order linear difference equations. Zbl 0445.65106
Cash, J. R.
3
1980
Efficient time integrators in the numerical method of lines. Zbl 1076.65080
Cash, J. R.
3
2005
Diagonally implicit Runge-Kutta formulae for the numerical integration of nonlinear two-point boundary value problems. Zbl 0565.34012
Cash, J. R.
3
1984
A block 6(4) Runge-Kutta formula for nonstiff initial value problems. Zbl 0667.65060
Cash, J. R.
3
1989
A note on the exponential fitting of blended, extended linear multistep methods. Zbl 0488.65030
Cash, J. R.
3
1981
On the solution of block tridiagonal systems of linear algebraic equations having a special structure. Zbl 0521.65068
Cash, J. R.
3
1982
Block Runge-Kutta methods for the numerical integration of initial value problems in ordinary differential equations. I: The nonstiff case. Zbl 0529.65043
Cash, J. R.
3
1983
A test set for stiff initial value problem solvers in the open source software R: Package deTestSet. Zbl 1246.65104
Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline
3
2012
On the development of effective algorithms for the numerical solution of singularly perturbed two-point boundary value problems. Zbl 1184.34025
Capper, Steven; Cash, Jeff; Mazzia, Francesca
2
2007
Runge-Kutta methods for the solution of stiff two-point boundary value problems. Zbl 0867.65043
Cash, J. R.
2
1996
On a class of cyclic methods for the numerical integration of stiff systems of O.D.E.s. Zbl 0368.65043
Cash, J. R.
2
1977
A Note on a Class of Modified Backward Differentiation Schemes. Zbl 0379.65039
Cash, J. R.
2
1978
On the computational aspects of semi-implicit Runge-Kutta methods. Zbl 0385.65033
Cash, J. R.; Liem, C. B.
2
1978
A comparison of some codes for the stiff oscillatory problem. Zbl 0936.65086
Cash, J. R.
2
1998
High-order interpolants for solutionsof two-point boundary value problems using MIRK methods. Zbl 1069.65083
Cash, J. R.; Moore, D. R.
2
2004
Block Runge-Kutta methods for the numerical integration of initial value problems in ordinary differential equations. II: The stiff case. Zbl 0529.65044
Cash, J. R.
2
1983
On improving the absolute stability of local extrapolation. Zbl 0529.65045
Cash, J. R.
2
1982
A unified approach to recurrence algorithms. Zbl 0824.65140
Cash, J. R.; Zahar, R. V. M.
1
1994
On the derivation of high order symmetric MIRK formulae with interpolants for solving two-point boundary value problems. Zbl 0977.65066
Cash, J. R.
1
2000
Algorithm 703: MEBDF: A FORTRAN subroutine for solving first-order systems of stiff initial value problems for ordinary differential equations. Zbl 0893.65050
Cash, J. R.; Considine, S.
1
1992
Iterated deferred correction algorithms for two-point BVPs. Zbl 0834.65074
Cash, J. R.
1
1993
A survey of some global methods for solving two-point BVPs. Zbl 1064.65062
Cash, J. R.
1
2004
On the numerical solution of a class of singular two-point boundary value problems. Zbl 0782.65101
Cash, J. R.; Silva, H. H. M.
1
1993
Stability concepts in the numerical solution of difference and differential equations. Zbl 0809.65079
Cash, J. R.
1
1994
The numerical solution of systems of stiff ordinary differential equations. Zbl 0294.65039
Cash, J. R.
1
1974
The numerical solution of nonlinear two-point boundary value problems using iterated deferred correction – a survey. Zbl 1132.65061
Cash, Jeff R.
1
2006
A highly stable deferred correction scheme with interpolant for systems of nonlinear two-point boundary value problems. Zbl 1019.65052
Cash, J. R.; Moore, D. R.; Sumarti, N.; Van Daele, M.
1
2003
Solving boundary value problems in the open source software R: package bvpSolve. Zbl 1293.65104
Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline
6
2014
Algorithm 927, the MATLAB code bvptwp.m for the numerical solution of two point boundary value problems. Zbl 1295.65142
Cash, J. R.; Hollevoet, D.; Mazzia, F.; Nagy, A. M.
8
2013
Solving differential equations in R. Zbl 1252.65138
Soetaert, Karline; Cash, Jeff; Mazzia, Francesca
5
2012
A test set for stiff initial value problem solvers in the open source software R: Package deTestSet. Zbl 1246.65104
Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline
3
2012
Numerical solution of singular two point BVPs. Zbl 1191.65099
Cash, J.; Kitzhofer, G.; Koch, O.; Moore, G.; Weinmüller, E.
8
2009
On the development of effective algorithms for the numerical solution of singularly perturbed two-point boundary value problems. Zbl 1184.34025
Capper, Steven; Cash, Jeff; Mazzia, Francesca
2
2007
Lobatto-Obrechkoff formulae for second order two-point boundary value problems. Zbl 1108.65080
Capper, S. D.; Cash, J. R.; Moore, D. R.
21
2006
Variable step Runge-Kutta-Nyström methods for the numerical solution of reversible systems. Zbl 1108.65074
Cash, J. R.; Girdlestone, S.
21
2006
Hybrid mesh selection algorithms based on conditioning for two-point boundary value problems. Zbl 1108.65082
Cash, Jeff R.; Mazzia, Francesca
21
2006
The derivation of interpolants for nonlinear two-point boundary value problems. Zbl 1108.65081
Cash, J. R.; Sumarti, N.; Abdulla, T. J.; Vieira, I.
17
2006
The role of conditioning in mesh selection algorithms for first order systems of linear two point boundary value problems. Zbl 1077.65084
Cash, J. R.; Mazzia, F.; Sumarti, N.; Trigiante, D.
4
2006
The numerical solution of nonlinear two-point boundary value problems using iterated deferred correction – a survey. Zbl 1132.65061
Cash, Jeff R.
1
2006
A new mesh selection algorithm, based on conditioning, for two-point boundary value codes. Zbl 1076.65065
Cash, J. R.; Mazzia, F.
9
2005
A variable step Runge-Kutta-Nyström integrator for reversible systems of second order initial value problems. Zbl 1121.65335
Cash, J. R.
3
2005
Efficient time integrators in the numerical method of lines. Zbl 1076.65080
Cash, J. R.
3
2005
Stochastic analysis with applications to mathematical finance. Zbl 1092.60501
Cash, J. R.
4
2004
High-order interpolants for solutionsof two-point boundary value problems using MIRK methods. Zbl 1069.65083
Cash, J. R.; Moore, D. R.
2
2004
A survey of some global methods for solving two-point BVPs. Zbl 1064.65062
Cash, J. R.
1
2004
Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations. Zbl 1048.65070
Cash, J. R.
12
2003
A highly stable deferred correction scheme with interpolant for systems of nonlinear two-point boundary value problems. Zbl 1019.65052
Cash, J. R.; Moore, D. R.; Sumarti, N.; Van Daele, M.
1
2003
An automatic continuation strategy for the solution of singularly perturbed nonlinear boundary value problems. Zbl 1070.65554
Cash, J. R.; Moore, G.; Wright, R. W.
8
2001
An MEBDF package for the numerical solution of large sparse systems of stiff initial value problems. Zbl 0983.65081
Abdulla, T. J.; Cash, J. R.; Diamantakis, M. T.
3
2001
Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs. Zbl 0971.65063
Cash, J. R.
20
2000
Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. Zbl 1051.65018
Amodio, P.; Cash, J. R.; Roussos, G.; Wright, R. W.; Fairweather, G.; Gladwell, I.; Kraut, G. L.; Paprzycki, M.
15
2000
Superconvergent deferred correction methods for first order systems of nonlinear two-point boundary value problems. Zbl 0981.65088
Van Daele, Marnix; Cash, Jeff R.
3
2000
On the derivation of high order symmetric MIRK formulae with interpolants for solving two-point boundary value problems. Zbl 0977.65066
Cash, J. R.
1
2000
A stability result for general linear methods with characteristic function having real poles only. Zbl 0915.65095
Psihoyios, G.-Y.; Cash, J. R.
12
1998
Lobatto deferred correction for stiff two-point boundary value problems. Zbl 0933.65086
Bashir-Ali, Z.; Cash, J. R.; Silva, H. H. M.
7
1998
Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems. Zbl 0926.65078
Cash, J. R.; Wright, R. W.
3
1998
A comparison of some codes for the stiff oscillatory problem. Zbl 0936.65086
Cash, J. R.
2
1998
DESI methods for stiff initial-value problems. Zbl 0884.65077
Butcher, J. C.; Cash, J. R.; Diamantakis, M. T.
11
1996
Iterated deferred correction for linear two-point boundary value problems. Zbl 0848.65059
Cash, J. R.; Silva, H. H. M.
5
1996
The MOL solution of time dependent partial differential equations. Zbl 0853.65095
Cash, J. R.; Psihoyios, Y.
5
1996
Runge-Kutta methods for the solution of stiff two-point boundary value problems. Zbl 0867.65043
Cash, J. R.
2
1996
An automatic continuation strategy for the solution of singularly perturbed linear two-point boundary value problems. Zbl 0840.65084
Cash, J. R.; Moore, G.; Wright, R. W.
18
1995
Advanced steppoint methods for initial value problems. Zbl 0843.65053
Cash, J. R.; Psihoyios, Y.
10
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.
5
1995
On the implementation of block Runge-Kutta methods for stiff IVPs. Zbl 0855.65078
Cash, J. R.; Diamantakis, M. T.
4
1994
Mesh selection for stiff two-point boundary value problems. Zbl 0804.65077
Wright, R.; Cash, J.; Moore, G.
4
1994
A unified approach to recurrence algorithms. Zbl 0824.65140
Cash, J. R.; Zahar, R. V. M.
1
1994
Stability concepts in the numerical solution of difference and differential equations. Zbl 0809.65079
Cash, J. R.
1
1994
A modified Adams method for non stiff and mildly stiff initial value problems. Zbl 0889.65084
Cash, J. R.; Semnani, S.
4
1993
Iterated deferred correction algorithms for two-point BVPs. Zbl 0834.65074
Cash, J. R.
1
1993
On the numerical solution of a class of singular two-point boundary value problems. Zbl 0782.65101
Cash, J. R.; Silva, H. H. M.
1
1993
An MEBDF code for stiff initial value problems. Zbl 0893.65049
Cash, J. R.; Considine, S.
27
1992
Algorithm 703: MEBDF: A FORTRAN subroutine for solving first-order systems of stiff initial value problems for ordinary differential equations. Zbl 0893.65050
Cash, J. R.; Considine, S.
1
1992
A deferred correction method for nonlinear two-point boundary value problems: Implementation and numerical evaluation. Zbl 0727.65070
Cash, J. R.; Wright, M. H.
41
1991
A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides. Zbl 0900.65234
Cash, J. R.; Karp, Alan H.
43
1990
A sixth-order exponentially fitted method for the numerical solution of the radial Schrödinger equation. Zbl 0717.65056
Cash, J. R.; Raptis, A. D.; Simos, T. E.
25
1990
Towards efficient Runge-Kutta methods for stiff systems. Zbl 0702.65072
Butcher, J. C.; Cash, J. R.
14
1990
Implementation issues in solving nonlinear equations for two-point boundary value problems. Zbl 0721.65043
Cash, J. R.; Wright, Margaret H.
7
1990
A comparison of some global methods for solving two-point boundary value problems. Zbl 0675.65075
Cash, J. R.
7
1989
A block 6(4) Runge-Kutta formula for nonstiff initial value problems. Zbl 0667.65060
Cash, J. R.
3
1989
On the numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections. II: The development and analysis of highly stable deferred correction formulae. Zbl 0658.65070
Cash, J. R.
21
1988
Exponential and Bessel fitting methods for the numerical solution of the Schrödinger equation. Zbl 0664.65090
Raptis, A. D.; Cash, J. R.
57
1987
Numerical integration of nonlinear two-point boundary-value problems using iterated deferred corrections. I: A survey and comparison of some one-step formulae. Zbl 0618.65071
Cash, J. R.
13
1986
A variable step method for the numerical integration of the one- dimensional Schrödinger equation. Zbl 0578.65086
Raptis, A. D.; Cash, J. R.
99
1985
Adaptive Runge-Kutta methods for nonlinear two-point boundary value problems with mild boundary layers. Zbl 0579.65079
Cash, J. R.
4
1985
Efficient P-stable methods for periodic initial value problems. Zbl 0558.65053
Cash, J. R.
16
1984
Two new finite difference schemes for parabolic equations. Zbl 0553.65084
Cash, J. R.
15
1984
Diagonally implicit Runge-Kutta formulae for the numerical integration of nonlinear two-point boundary value problems. Zbl 0565.34012
Cash, J. R.
3
1984
The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae. Zbl 0526.65052
Cash, J. R.
54
1983
Split linear multistep methods for the numerical integration of stiff differential systems. Zbl 0546.65049
Cash, J. R.
8
1983
A variable order deferred correction algorithm for the numerical solution of nonlinear two point boundary value problems. Zbl 0521.65069
Cash, J. R.
6
1983
Block Runge-Kutta methods for the numerical integration of initial value problems in ordinary differential equations. I: The nonstiff case. Zbl 0529.65043
Cash, J. R.
3
1983
Block Runge-Kutta methods for the numerical integration of initial value problems in ordinary differential equations. II: The stiff case. Zbl 0529.65044
Cash, J. R.
2
1983
High order methods for the numerical solution of two-point boundary value problems. Zbl 0494.65049
Cash, J. R.; Singhal, A.
26
1982
Mono-implicit Runge-Kutta formulae for the numerical integration of stiff differential systems. Zbl 0488.65031
Cash, J. R.; Singhal, A.
24
1982
On the solution of block tridiagonal systems of linear algebraic equations having a special structure. Zbl 0521.65068
Cash, J. R.
3
1982
On improving the absolute stability of local extrapolation. Zbl 0529.65045
Cash, J. R.
2
1982
High order P-stable formulae for the numerical integration of periodic initial value problems. Zbl 0488.65029
Cash, J. R.
51
1981
Second derivative extended backward differentiation formulas for the numerical integration of stiff systems. Zbl 0452.65047
Cash, J. R.
41
1981
On the exponential fitting of composite, multiderivative linear multistep methods. Zbl 0488.65027
Cash, J. R.
14
1981
On the design of high order exponentially fitted formulae for the numerical integration of stiff systems. Zbl 0488.65028
Cash, J. R.
4
1981
A note on the exponential fitting of blended, extended linear multistep methods. Zbl 0488.65030
Cash, J. R.
3
1981
On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae. Zbl 0411.65040
Cash, J. R.
54
1980
A high order method for the numerical solution of two-point boundary value problems. Zbl 0448.65048
Cash, J. R.; Moore, D. R.
25
1980
A note on the numerical solution of linear recurrence relations. Zbl 0411.65068
Cash, J. R.
12
1980
On the design of a variable order, variable step diagonally implicit Runge-Kutta algorithm. Zbl 0441.65056
Cash, J. R.; Liem, C. B.
7
1980
A note on Olver’s algorithm for the solution of second-order linear difference equations. Zbl 0445.65106
Cash, J. R.
3
1980
Diagonally implicit Runge-Kutta formulae with error estimates. Zbl 0419.65044
Cash, J. R.
36
1979
Stable recursions. With applications to the numerical solution of stiff systems. Zbl 0498.65035
Cash, J. R.
26
1979
A block method for the numerical integration of stiff systems of ordinary differential equations. Zbl 0423.65041
Bond, J. E.; Cash, J. R.
5
1979
High order methods for the numerical integration of ordinary differential equations. Zbl 0369.65019
Cash, J. R.
8
1978
An extension of Olver’s method for the numerical solution of linear recurrence relations. Zbl 0376.65044
Cash, J. R.
7
1978
A Note on a Class of Modified Backward Differentiation Schemes. Zbl 0379.65039
Cash, J. R.
2
1978
On the computational aspects of semi-implicit Runge-Kutta methods. Zbl 0385.65033
Cash, J. R.; Liem, C. B.
2
1978
On a class of implicit Runge-Kutta procedures. Zbl 0364.65051
Cash, J. R.
9
1977
A note on the iterative solution of recurrence relations. Zbl 0341.65084
Cash, J. R.
4
1977
A note on the computational aspects of a class of implicit Runge-Kutta procedures. Zbl 0386.65033
Cash, J. R.
4
1977
A class of iterative algorithms for the integration of stiff systems of ordinary differential equations. Zbl 0355.65056
Cash, J. R.
3
1977
On a class of cyclic methods for the numerical integration of stiff systems of O.D.E.s. Zbl 0368.65043
Cash, J. R.
2
1977
Semi-implicit Runge-Kutta procedures with error estimates for the numerical integration of stiff systems of ordinary differential equations. Zbl 0335.65029
Cash, J. R.
11
1976
A class of implicit Runge-Kutta methods for the numerical integral of stiff ordinary differential equations. Zbl 0366.65029
Cash, J. R.
11
1975
The numerical solution of systems of stiff ordinary differential equations. Zbl 0294.65039
Cash, J. R.
1
1974
all top 5

Cited by 755 Authors

124 Simos, Theodore E.
40 Cash, Jeff R.
16 Hojjati, Gholamreza
14 Van Daele, Marnix
13 Mazzia, Francesca
11 Amodio, Pierluigi
11 Brugnano, Luigi
11 Martín-Vaquero, Jesús
11 Vanden Berghe, Guido
10 Abdi, Ali
10 Lin, Chialiang
9 Anastassi, Zacharias A.
9 Vigo-Aguiar, Jesus
8 De Meyer, Hans E.
8 Hartmann, Stefan
8 Jator, Samuel N.
8 Liu, Chenglian
8 Trigiante, Donato
8 Van Hecke, Tanja
7 Butcher, John C.
7 Konguetsof, Avrilia
7 Muir, Paul H.
7 Ramos, Higinio
6 Fang, Yonglei
6 Hill, Nicholas A.
6 Patidar, Kailash C.
6 Voss, David A.
5 Ebadi, Moosa
5 Fairweather, Graeme
5 Khaliq, Abdul Q. M.
5 Magherini, Cecilia
5 Medvedev, Maxim A.
5 Moore, Daniel R.
5 Söderlind, Gustaf
5 Tsitouras, Charalampos
5 Vlachos, D. S.
4 Avdelas, George
4 Bassi, Francesco
4 Cooper, Gavin J.
4 Enright, Wayne H.
4 Fedorov, Ruslan V.
4 Huang, Weizhang
4 Iavernaro, Felice
4 Ismail, Fudziah Bt.
4 Julien, Keith A.
4 Kadalbajoo, Mohan K.
4 Knobloch, Edgar
4 Koch, Othmar
4 Kovalnogov, Vladislav N.
4 Okunuga, Solomon A.
4 Tian, Hongjiong
4 Weinmüller, Ewa B.
3 Al-Rabeh, Ala H.
3 Bonnefoy, Félicien
3 Chawla, Man M.
3 Costabile, Francesco Aldo
3 Cunha, Francisco Ricardo
3 Fazeli, Somayyeh
3 Ferrant, Pierre
3 Fritzkowski, Paweł
3 Garashchuk, Ivan R.
3 Ghidoni, Antonio
3 Gil, Amparo
3 Gokhale, Mukund Y.
3 Hasegawa, Takemitsu
3 Hosseini, Seyed Mohammad
3 Hsu, Chieh-Wen
3 Ibrahim, Iman H.
3 Jackiewicz, Zdzislaw
3 Jaust, Alexander
3 Kalogiratou, Zacharoula
3 Kaminski, Henryk
3 Kulikov, Gennady Yur’evich
3 Liu, Shiwei
3 Medvedeva, Marina A.
3 Mitsui, Taketomo
3 Nguyen-Ba, Truong
3 Raptis, A. D.
3 Rothe, Steffen
3 Schütz, Jochen
3 Segura, Javier
3 Settanni, Giuseppina
3 Sinelshchikov, Dmitry I.
3 Suleiman, Mohamed Bin
3 Temme, Nico M.
3 Van de Vyver, Hans
3 Vignesvaran, R.
3 Wang, Zenggui
3 Wang, Zhongcheng
3 Williams, P. S.
3 Yakubu, Dauda Gulibur
3 You, Xiong
3 Zheng, Juan
2 Akinfenwa, Olusheye Aremu Akin
2 Albernaz, Daniel L.
2 Alolyan, Ibraheem
2 Ardabili, M. Y. Rahimi
2 Attili, Basem S.
2 Baboo, S. N.
2 Bees, Martin A.
...and 655 more Authors
all top 5

Cited in 116 Serials

84 Journal of Mathematical Chemistry
83 Journal of Computational and Applied Mathematics
49 Applied Mathematics and Computation
48 Computers & Mathematics with Applications
39 Applied Numerical Mathematics
31 Numerical Algorithms
24 Journal of Computational Physics
23 International Journal of Computer Mathematics
20 BIT
12 Computer Physics Communications
12 International Journal of Modern Physics C
11 Numerische Mathematik
11 Physics of Fluids
10 Computing
10 Mathematical and Computer Modelling
9 Journal of Fluid Mechanics
9 Journal of Scientific Computing
8 Mathematics of Computation
8 Calcolo
7 Computational Mechanics
6 Computers and Fluids
6 Computer Methods in Applied Mechanics and Engineering
5 Mathematics and Computers in Simulation
5 Mediterranean Journal of Mathematics
4 Molecular Simulation
4 Physica D
4 Numerical Methods for Partial Differential Equations
4 Computational and Applied Mathematics
4 Chaos
4 Journal of Applied Mathematics
4 Afrika Matematika
3 Applied Mathematics Letters
3 Computational Mathematics and Mathematical Physics
3 Applied Mathematical Modelling
3 Archive of Applied Mechanics
3 SIAM Journal on Scientific Computing
3 European Journal of Mechanics. B. Fluids
3 BIT. Nordisk Tidskrift for Informationsbehandling
3 International Journal of Applied and Computational Mathematics
2 International Journal of Mathematical Education in Science and Technology
2 Information Processing Letters
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Optimization Theory and Applications
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Optimal Control Applications & Methods
2 Applied Mathematics and Mechanics. (English Edition)
2 Japan Journal of Industrial and Applied Mathematics
2 Computers and Mathematics with Applications. Part A
2 Celestial Mechanics and Dynamical Astronomy
2 Journal of the Egyptian Mathematical Society
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Discrete and Continuous Dynamical Systems. Series B
2 SIAM Journal on Applied Dynamical Systems
2 International Journal of Computational Methods
2 Boundary Value Problems
2 Journal of Modern Methods in Numerical Mathematics
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Bulletin of the Australian Mathematical Society
1 International Journal for Numerical Methods in Fluids
1 Indian Journal of Pure & Applied Mathematics
1 International Journal of Theoretical Physics
1 Journal of Engineering Mathematics
1 Journal of the Franklin Institute
1 Journal of the Mechanics and Physics of Solids
1 Mathematical Biosciences
1 Nonlinearity
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Fasciculi Mathematici
1 International Journal for Numerical Methods in Engineering
1 Mechanics Research Communications
1 Theoretical Population Biology
1 Transactions of the American Mathematical Society
1 Insurance Mathematics & Economics
1 Bulletin of the Iranian Mathematical Society
1 Journal of the Nigerian Mathematical Society
1 Acta Mathematicae Applicatae Sinica. English Series
1 Japan Journal of Applied Mathematics
1 Journal of Complexity
1 COMPEL
1 Neural Networks
1 Linear Algebra and its Applications
1 Journal of Dynamics and Differential Equations
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 Vestnik St. Petersburg University. Mathematics
1 Journal of Mathematical Sciences (New York)
1 Numerical Linear Algebra with Applications
1 Advances in Computational Mathematics
1 Journal of Difference Equations and Applications
1 Multibody System Dynamics
1 Nonlinear Dynamics
1 Far East Journal of Applied Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Regular and Chaotic Dynamics
1 International Journal of Applied Mathematics and Computer Science
1 Combustion Theory and Modelling
1 Foundations of Computational Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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