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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

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 1,274 times in 744 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.
111
1985
Exponential and Bessel fitting methods for the numerical solution of the Schrödinger equation. Zbl 0664.65090
Raptis, A. D.; Cash, J. R.
68
1987
On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae. Zbl 0411.65040
Cash, J. R.
61
1980
The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae. Zbl 0526.65052
Cash, J. R.
60
1983
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.
58
1990
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.
50
1981
A deferred correction method for nonlinear two-point boundary value problems: Implementation and numerical evaluation. Zbl 0727.65070
Cash, J. R.; Wright, M. H.
42
1991
Diagonally implicit Runge-Kutta formulae with error estimates. Zbl 0419.65044
Cash, J. R.
36
1979
Mono-implicit Runge-Kutta formulae for the numerical integration of stiff differential systems. Zbl 0488.65031
Cash, J. R.; Singhal, A.
27
1982
Stable recursions. With applications to the numerical solution of stiff systems. Zbl 0498.65035
Cash, J. R.
27
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
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 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
Lobatto-Obrechkoff formulae for second order two-point boundary value problems. Zbl 1108.65080
Capper, S. D.; Cash, J. R.; Moore, D. R.
23
2006
Hybrid mesh selection algorithms based on conditioning for two-point boundary value problems. Zbl 1108.65082
Cash, Jeff R.; Mazzia, Francesca
23
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.
22
1988
Variable step Runge-Kutta-Nyström methods for the numerical solution of reversible systems. Zbl 1108.65074
Cash, J. R.; Girdlestone, S.
21
2006
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.
19
1995
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.
17
2000
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.
17
1984
Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations. Zbl 1048.65070
Cash, J. R.
16
2003
On the exponential fitting of composite, multiderivative linear multistep methods. Zbl 0488.65027
Cash, J. R.
16
1981
Two new finite difference schemes for parabolic equations. Zbl 0553.65084
Cash, J. R.
15
1984
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.
14
1986
Towards efficient Runge-Kutta methods for stiff systems. Zbl 0702.65072
Butcher, J. C.; Cash, J. R.
14
1990
A class of implicit Runge-Kutta methods for the numerical integral of stiff ordinary differential equations. Zbl 0366.65029
Cash, J. R.
13
1975
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.
13
2013
A note on the numerical solution of linear recurrence relations. Zbl 0411.65068
Cash, J. R.
12
1980
A new mesh selection algorithm, based on conditioning, for two-point boundary value codes. Zbl 1076.65065
Cash, J. R.; Mazzia, F.
12
2005
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
DESI methods for stiff initial-value problems. Zbl 0884.65077
Butcher, J. C.; Cash, J. R.; Diamantakis, M. T.
11
1996
Solving boundary value problems in the open source software R: package bvpSolve. Zbl 1293.65104
Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline
11
2014
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
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
High order methods for the numerical integration of ordinary differential equations. Zbl 0369.65019
Cash, J. R.
9
1978
Split linear multistep methods for the numerical integration of stiff differential systems. Zbl 0546.65049
Cash, J. R.
9
1983
Solving differential equations in R. Zbl 1252.65138
Soetaert, Karline; Cash, Jeff; Mazzia, Francesca
8
2012
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
Lobatto deferred correction for stiff two-point boundary value problems. Zbl 0933.65086
Bashir-Ali, Z.; Cash, J. R.; Silva, H. H. M.
8
1998
Numerical solution of singular two point BVPs. Zbl 1191.65099
Cash, J.; Kitzhofer, G.; Koch, O.; Moore, G.; Weinmüller, E.
8
2009
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
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 variable order deferred correction algorithm for the numerical solution of nonlinear two point boundary value problems. Zbl 0521.65069
Cash, J. R.
6
1983
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
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
Stochastic analysis with applications to mathematical finance. Zbl 1092.60501
4
2004
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 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
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
A modified Adams method for non stiff and mildly stiff initial value problems. Zbl 0889.65084
Cash, J. R.; Semnani, S.
4
1993
Mesh selection for stiff two-point boundary value problems. Zbl 0804.65077
Wright, R.; Cash, J.; Moore, G.
4
1994
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.
4
1998
On the implementation of block Runge-Kutta methods for stiff IVPs. Zbl 0855.65078
Cash, J. R.; Diamantakis, M. T.
4
1994
Adaptive Runge-Kutta methods for nonlinear two-point boundary value problems with mild boundary layers. Zbl 0579.65079
Cash, J. R.
4
1985
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 the exponential fitting of blended, extended linear multistep methods. Zbl 0488.65030
Cash, J. R.
3
1981
A class of iterative algorithms for the integration of stiff systems of ordinary differential equations. Zbl 0355.65056
Cash, J. R.
3
1977
Efficient global methods for the numerical solution of nonlinear systems of two point boundary value problems. Zbl 1216.65093
Cash, Jeff R.; Mazzia, Francesca
3
2011
A block 6(4) Runge-Kutta formula for nonstiff initial value problems. Zbl 0667.65060
Cash, J. R.
3
1989
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
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
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 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
3
2007
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
Diagonally implicit Runge-Kutta formulae for the numerical integration of nonlinear two-point boundary value problems. Zbl 0565.34012
Cash, J. R.
3
1984
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 comparison of some codes for the stiff oscillatory problem. Zbl 0936.65086
Cash, J. R.
2
1998
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
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
Runge-Kutta methods for the solution of stiff two-point boundary value problems. Zbl 0867.65043
Cash, J. R.
2
1996
The numerical solution of nonlinear two-point boundary value problems using iterated deferred correction – a survey. Zbl 1132.65061
Cash, Jeff R.
1
2006
The numerical solution of systems of stiff ordinary differential equations. Zbl 0294.65039
Cash, J. R.
1
1974
A survey of some global methods for solving two-point BVPs. Zbl 1064.65062
Cash, J. R.
1
2004
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
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
Stability concepts in the numerical solution of difference and differential equations. Zbl 0809.65079
Cash, J. R.
1
1994
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
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
Solving boundary value problems in the open source software R: package bvpSolve. Zbl 1293.65104
Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline
11
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.
13
2013
Solving differential equations in R. Zbl 1252.65138
Soetaert, Karline; Cash, Jeff; Mazzia, Francesca
8
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
Efficient global methods for the numerical solution of nonlinear systems of two point boundary value problems. Zbl 1216.65093
Cash, Jeff R.; Mazzia, Francesca
3
2011
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
3
2007
Lobatto-Obrechkoff formulae for second order two-point boundary value problems. Zbl 1108.65080
Capper, S. D.; Cash, J. R.; Moore, D. R.
23
2006
Hybrid mesh selection algorithms based on conditioning for two-point boundary value problems. Zbl 1108.65082
Cash, Jeff R.; Mazzia, Francesca
23
2006
Variable step Runge-Kutta-Nyström methods for the numerical solution of reversible systems. Zbl 1108.65074
Cash, J. R.; Girdlestone, S.
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.
12
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
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.
16
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.
17
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.
8
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.
4
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.
19
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
Mesh selection for stiff two-point boundary value problems. Zbl 0804.65077
Wright, R.; Cash, J.; Moore, G.
4
1994
On the implementation of block Runge-Kutta methods for stiff IVPs. Zbl 0855.65078
Cash, J. R.; Diamantakis, M. T.
4
1994
Stability concepts in the numerical solution of difference and differential equations. Zbl 0809.65079
Cash, J. R.
1
1994
A unified approach to recurrence algorithms. Zbl 0824.65140
Cash, J. R.; Zahar, R. V. M.
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.
42
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.
58
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.
22
1988
Exponential and Bessel fitting methods for the numerical solution of the Schrödinger equation. Zbl 0664.65090
Raptis, A. D.; Cash, J. R.
68
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.
14
1986
A variable step method for the numerical integration of the one- dimensional Schrödinger equation. Zbl 0578.65086
Raptis, A. D.; Cash, J. R.
111
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.
17
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.
60
1983
Split linear multistep methods for the numerical integration of stiff differential systems. Zbl 0546.65049
Cash, J. R.
9
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
Mono-implicit Runge-Kutta formulae for the numerical integration of stiff differential systems. Zbl 0488.65031
Cash, J. R.; Singhal, A.
27
1982
High order methods for the numerical solution of two-point boundary value problems. Zbl 0494.65049
Cash, J. R.; Singhal, A.
26
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.
50
1981
On the exponential fitting of composite, multiderivative linear multistep methods. Zbl 0488.65027
Cash, J. R.
16
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.
61
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.
27
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.
9
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.
13
1975
The numerical solution of systems of stiff ordinary differential equations. Zbl 0294.65039
Cash, J. R.
1
1974
all top 5

Cited by 846 Authors

136 Simos, Theodore E.
40 Cash, Jeff R.
22 Hojjati, Gholamreza
17 Abdi, Ali
15 Mazzia, Francesca
14 Van Daele, Marnix
13 Lin, Chialiang
12 Amodio, Pierluigi
11 Brugnano, Luigi
11 Ikhile, Monday Ndidi Oziegbe
11 Martín-Vaquero, Jesús
11 Vanden Berghe, Guido
10 Ramos, Higinio
10 Vigo-Aguiar, Jesus
9 Anastassi, Zacharias A.
8 De Meyer, Hans E.
8 Hartmann, Stefan
8 Jator, Samuel N.
8 Liu, Chenglian
8 Medvedev, Maxim A.
8 Trigiante, Donato
8 Van Hecke, Tanja
7 Butcher, John C.
7 Konguetsof, Avrilia
7 Medvedeva, Marina A.
7 Muir, Paul H.
6 Fang, Yonglei
6 Hill, Nicholas A.
6 Iavernaro, Felice
6 Okunuga, Solomon A.
6 Patidar, Kailash C.
6 Voss, David A.
5 Ebadi, Moosa
5 Fairweather, Graeme
5 Fedorov, Ruslan V.
5 Khaliq, Abdul Q. M.
5 Kovalnogov, Vladislav N.
5 Magherini, Cecilia
5 Moore, Daniel R.
5 Söderlind, Gustaf
5 Tsitouras, Charalampos
5 Vlachos, D. S.
4 Akinfenwa, Olusheye Aremu Akin
4 Avdelas, George
4 Bassi, Francesco
4 Cooper, Gavin J.
4 Enright, Wayne H.
4 Huang, Weizhang
4 Ismail, Fudziah Bt.
4 Jackiewicz, Zdzislaw
4 Julien, Keith A.
4 Kadalbajoo, Mohan K.
4 Knobloch, Edgar
4 Koch, Othmar
4 Ogunfeyitimi, S. E.
4 Tian, Hongjiong
4 Weinmüller, Ewa B.
4 Yakubu, Dauda Gulibur
3 Abdulganiy, Ridwanulahi Iyanda
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 Izzo, Giuseppe
3 Jaust, Alexander
3 Kalogiratou, Zacharoula
3 Kaminski, Henryk
3 Kulikov, Gennady Yur’evich
3 Liu, Shiwei
3 Mitsui, Taketomo
3 Nguyen-Ba, Truong
3 Nwachukwu, Grace C.
3 Okuonghae, Robert I.
3 Raptis, A. D.
3 Rothe, Steffen
3 Schütz, Jochen
3 Segura, Javier
3 Settanni, Giuseppina
3 Sinelshchikov, Dmitry I.
3 Singh, Gurjinder
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 You, Xiong
...and 746 more Authors
all top 5

Cited in 134 Serials

95 Journal of Mathematical Chemistry
84 Journal of Computational and Applied Mathematics
50 Applied Mathematics and Computation
48 Computers & Mathematics with Applications
39 Applied Numerical Mathematics
35 Numerical Algorithms
27 Journal of Computational Physics
25 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 Computer Methods in Applied Mechanics and Engineering
9 Journal of Fluid Mechanics
9 Calcolo
9 Journal of Scientific Computing
8 Mathematics of Computation
7 Computational Mechanics
7 Computational and Applied Mathematics
6 Computers and Fluids
5 Mathematics and Computers in Simulation
5 Journal of the Nigerian Mathematical Society
5 Mediterranean Journal of Mathematics
5 International Journal of Applied and Computational Mathematics
4 Molecular Simulation
4 Physica D
4 Numerical Methods for Partial Differential Equations
4 Japan Journal of Industrial and Applied Mathematics
4 SIAM Journal on Scientific Computing
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 European Journal of Mechanics. B. Fluids
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Discrete and Continuous Dynamical Systems. Series B
3 BIT. Nordisk Tidskrift for Informationsbehandling
3 Journal of the Korean Society for Industrial and Applied Mathematics
2 Classical and Quantum Gravity
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 Insurance Mathematics & Economics
2 Applied Mathematics and Mechanics. (English Edition)
2 Computers and Mathematics with Applications. Part A
2 Celestial Mechanics and Dynamical Astronomy
2 Journal of the Egyptian Mathematical Society
2 Multibody System Dynamics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Journal of Applied Mathematics and Computing
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 Acta Mechanica
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 General Relativity and Gravitation
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 Physica A
1 Wave Motion
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Fasciculi Mathematici
1 International Journal for Numerical Methods in Engineering
1 Mechanics Research Communications
1 Programming and Computer Software
1 Theoretical Population Biology
1 Transactions of the American Mathematical Society
1 Bulletin of the Iranian 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 Filomat
...and 34 more Serials
all top 5

Cited in 36 Fields

628 Numerical analysis (65-XX)
320 Ordinary differential equations (34-XX)
75 Quantum theory (81-XX)
69 Partial differential equations (35-XX)
66 Fluid mechanics (76-XX)
23 Mechanics of deformable solids (74-XX)
19 Biology and other natural sciences (92-XX)
16 Dynamical systems and ergodic theory (37-XX)
15 Mechanics of particles and systems (70-XX)
12 Difference and functional equations (39-XX)
10 Classical thermodynamics, heat transfer (80-XX)
10 Systems theory; control (93-XX)
9 Integral equations (45-XX)
9 Computer science (68-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Probability theory and stochastic processes (60-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Special functions (33-XX)
7 Astronomy and astrophysics (85-XX)
7 Geophysics (86-XX)
6 Approximations and expansions (41-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Relativity and gravitational theory (83-XX)
4 Operator theory (47-XX)
4 Statistics (62-XX)
3 Sequences, series, summability (40-XX)
2 Optics, electromagnetic theory (78-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
2 Mathematics education (97-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Algebraic geometry (14-XX)
1 Real functions (26-XX)

Citations by Year