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van der Houwen, Pieter J.

Author ID: van-der-houwen.pieter-j Recent zbMATH articles by "van der Houwen, Pieter J."
Published as: van der Houwen, P. J.; Van der Houwen, P. J.; van der Houwen, Pieter J.; van der Houwen, Peter J.; van der Houwer, P. J.; van der Houwen, Piet; Houwen, P. J.v.d.
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Citations contained in zbMATH Open

124 Publications have been cited 1,699 times in 1,196 Documents Cited by Year
The numerical solution of Volterra equations. Zbl 0611.65092
Brunner, Hermann; van der Houwen, P. J.
378
1986
Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions. Zbl 0624.65058
Van der Houwen, P. J.; Sommeijer, B. P.
199
1987
On the internal stability of explicit, m-stage Runge-Kutta methods for large m-values. Zbl 0455.65052
van der Houwen, P. J.; Sommeijer, B. P.
89
1980
Construction of integration formulas for initial value problems. Zbl 0359.65057
van der Houwen, P. J.
82
1977
Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems. Zbl 0676.65072
van der Houwen, P. J.; Sommeijer, B. P.
80
1989
Stability of collocation-based Runge-Kutta-Nyström methods. Zbl 0731.65071
van der Houwen, P. J.; Sommeijer, B. P.; Nguyen Huu Cong
50
1991
Iterated Runge-Kutta methods on parallel computers. Zbl 0732.65065
van der Houwen, P. J.; Sommeijer, B. P.
46
1991
Parallel iteration of high-order Runge-Kutta methods with stepsize control. Zbl 0682.65039
van der Houwen, P. J.; Sommeijer, B. P.
42
1990
Approximate factorization for time-dependent partial differential equations. Zbl 0974.65089
van der Houwen, P. J.; Sommeijer, B. P.
36
2001
Triangularly implicit iteration methods for ODE-IVP solvers. Zbl 0872.65072
van der Houwen, P. J.; de Swart, J. J. B.
34
1997
Explicit Runge-Kutta formulas with increased stability boundaries. Zbl 0233.65039
van der Houwen, P. J.
34
1972
Predictor-corrector methods for periodic second-order initial-value problems. Zbl 0631.65074
van der Houwen, P. J.; Sommeijer, B. P.
30
1987
On the stability of predictor-corrector methods for parabolic equations with delay. Zbl 0623.65094
van der Houwen, P. J.; Sommeijer, B. P.; Baker, Christopher T. H.
25
1986
The development of Runge-Kutta methods for partial differential equations. Zbl 0857.65094
van der Houwen, P. J.
23
1996
Parallel linear system solvers for Runge-Kutta methods. Zbl 0886.65078
van der Houwen, P. J.; de Swart, J. J. B.
23
1997
Phase-lag analysis of implicit Runge-Kutta methods. Zbl 0669.65055
Van der Houwen, P. J.; Sommeijer, B. P.
22
1989
\(A\)-stable parallel block methods for ordinary and integro-differential equations. Zbl 0749.65050
Sommeijer, B. P.; Couzy, W.; van der Houwen, P. J.
21
1992
Embedded diagonally implicit Runge-Kutta algorithms on parallel computers. Zbl 0744.65050
van der Houwen, P. J.; Sommeijer, B. P.; Couzy, W.
21
1992
Block Runge-Kutta methods on parallel computers. Zbl 0788.65080
van der Houwen, P. J.; Sommeijer, B. P.
21
1992
Stability in linear multistep methods for pure delay equations. Zbl 0539.65052
van der Houwen, P. J.; Sommeijer, B. P.
20
1984
Backward differentiation type formulas for Volterra integral equations of the second kind. Zbl 0442.65124
van der Houwen, P. J.; te Riele, Herman J. J.
19
1981
Parallel block predictor-corrector methods of Runge-Kutta type. Zbl 0786.65060
van der Houwen, P. J.; Nguyen huu Cong
19
1993
One-step splitting methods for semi-discrete parabolic equations. Zbl 0396.65053
van der Houwen, P. J.; Verwer, J. G.
19
1979
Analysis of parallel diagonally implicit iteration of Runge-Kutta methods. Zbl 0787.65054
van der Houwen, P. J.; Sommeijer, B. P.
14
1993
Parallel diagonally implicit Runge-Kutta-Nyström methods. Zbl 0747.65059
van der Houwen, P. J.; Sommeijer, B. P.; Nguyen huu Cong
12
1992
On the treatment of time-dependent boundary conditions in splitting methods for parabolic differential equations. Zbl 0453.65062
Sommeijer, B. P.; van der Houwen, P. J.; Verwer, J. G.
12
1981
Linear multistep methods with reduced truncation error for periodic initial-value problems. Zbl 0566.65055
van der Houwen, P. J.; Sommeijer, B. P.
11
1984
The iterative solution of fully implicit discretizations of three-dimensional transport models. Zbl 0890.65099
van der Houwen, P. J.; Sommeijer, B. P.; Kok, J.
11
1997
Convergence and stability results in Runge-Kutta type methods for Volterra integral equations of the second kind. Zbl 0472.65095
van der Houwen, P. J.
11
1980
Euler-Chebyshev methods for integro-differential equations. Zbl 0881.65141
van der Houwen, P. J.; Sommeijer, B. P.
10
1997
Convergence and stability analysis for modified Runge-Kutta methods in the numerical treatment of second-kind Volterra integral equations. Zbl 0465.65071
van der Houwen, P. J.; Wolkenfelt, P. H. M.; Baker, C. T. H.
10
1981
On the stability of multistep formulas for Volterra integral equations of the second kind. Zbl 0413.65085
Van der Houwen, P. J.; Wolkenfelt, P. H. M.
10
1980
On the numerical integration of second-order initial value problems with a periodic forcing function. Zbl 0589.65064
van der Houwen, P. J.; Sommeijer, B. P.; Strehmel, K.; Weiner, R.
9
1986
Analysis approximate factorization in iteration methods. Zbl 0931.65074
Eichler-Liebenow, C.; van der Houwen, P. J.; Sommeijer, B. P.
9
1998
Linear multistep methods for Volterra integral and integro-differential equations. Zbl 0597.65096
van der Houwen, P. J.; te Riele, H. J. J.
8
1985
Stability analysis of numerical methods for Volterra integral equations with polynomial convolution kernels. Zbl 0502.65078
Amini, Siamak; Baker, Christopher T. H.; van der Houwen, Pieter J.; Wolkenfelt, Paul H. M.
8
1983
Parallel step-by-step methods. Zbl 0798.65077
van der Houwen, P. J.
8
1993
Symmetric linear multistep methods for second-order differential equations with periodic solutions. Zbl 0596.65046
Sommeijer, B. P.; van der Houwen, P. J.; Neta, B.
7
1986
On the time integration of parabolic differential equations. Zbl 0476.65063
Van der Houwen, P. J.
7
1982
Parallel iteration of the extended backward differentiation formulas. Zbl 0980.65066
Frank, J. E.; van der Houwen, P. J.
7
2001
Parallel iteration across the steps of high-order Runge-Kutta methods for nonstiff initial value problems. Zbl 0837.65077
van der Houwen, P. J.; Sommeijer, B. P.; van der Veen, W. A.
6
1995
Parallel predictor-corrector methods. Zbl 0860.65065
van der Houwen, P. J.; Sommeijer, B. P.; de Swart, J. J. B.
6
1996
Stabilized Runge-Kutta methods for second order differential equations without first derivatives. Zbl 0415.65037
van der Houwen, P. J.
6
1979
Explicit and semi-implicit Runge-Kutta formulas for the integration of stiff equations. Zbl 0285.65047
van der Houwen, P. J.
6
1972
Generalized linear multistep methods. I: Development of algorithms with zero-parasitic roots. Zbl 0353.65052
van der Houwen, P. J.; Verwer, J. G.
6
1974
Stability of parallel Volterra-Runge-Kutta methods. Zbl 0802.65133
Crisci, M. R.; Russo, E.; Van der Houwen, P. J.; Vecchio, A.
6
1993
Parallelism across the steps in iterated Runge-Kutta methods for stiff initial value problems. Zbl 0814.65080
van der Houwen, P. J.; Sommeijer, B. P.; van der Veen, W. A.
6
1994
Numerical integration of retarded differential equations with periodic solutions. Zbl 0577.65063
Arndt, H.; Van der Houwen, P. J.; Sommeijer, B. P.
5
1985
On the economization of stabilized Runge-Kutta methods with applications to parabolic initial value problems. Zbl 0461.65056
Sommeijer, B. P.; van der Houwen, P. J.
5
1981
A special class of multistep Runge-Kutta methods with extended real stability interval. Zbl 0481.65038
van der Houwen, P. J.; Sommeijer, B. P.
5
1982
Convergence and stability analysis of Runge-Kutta type methods for Volterra integral equations of the second kind. Zbl 0422.65071
Van der Houwen, P. J.
5
1980
Time integration of three-dimensional numerical transport models. Zbl 0819.65122
Sommeijer, B. P.; van der Houwen, P. J.; Kok, J.
5
1994
Analysis of smoothing matrices for the preconditioning of elliptic difference equations. Zbl 0637.65101
van der Houwen, P. J.; Boon, C.; Wubs, F. W.
4
1988
Predictor-corrector methods with improved absolute stability regions. Zbl 0533.65045
van der Houwen, P. J.; Sommeijer, B. P.
4
1983
Diagonally implicit Runge-Kutta methods for 3D shallow water applications. Zbl 0958.76063
van der Houwen, P. J.; Sommeijer, B. P.
4
2000
Numerical solution of a minimum problem. Zbl 0276.65035
van der Houwen, P. J.; Kok, J.
4
1971
Butcher-Kuntzmann methods for nonstiff problems on parallel computers. Zbl 0812.65064
van der Houwen, P. J.; Sommeijer, B. P.
4
1994
Modified Nyström methods for semi-discrete hyperbolic differential equations. Zbl 0498.65039
van der Houwen, P. J.
4
1981
A fourth order ADI method for semidiscrete parabolic equations. Zbl 0513.65051
van der Houwen, P. J.; de Vries, H. B.
4
1983
Preconditioning in implicit initial-value problem methods on parallel computers. Zbl 0824.65050
van der Houwen, P. J.
3
1993
Convergence aspects of step-parallel iteration of Runge-Kutta methods. Zbl 0837.65076
van der Veen, W. A.; de Swart, J. J. B.; van der Houwen, P. J.
3
1995
Waveform relaxation methods for implicit differential equations. Zbl 0884.65075
van der Houwen, P. J.; van der Veen, W. A.
3
1997
Splitting methods for three-dimensional transport models with interaction terms. Zbl 0920.76060
van der Houwen, P. J.; Sommeijer, B. P.
3
1997
CWI contributions to the development of parallel Runge-Kutta methods. Zbl 0868.65042
van der Houwen, P. J.; Sommeijer, B. P.
3
1996
Improving the stability of predictor-corrector methods by residue smoothing. Zbl 0704.65060
van der Houwen, P. J.; Sommeijer, B. P.
3
1990
Improved absolute stability of predictor-corrector methods for retarded differential equations. Zbl 0507.34052
van der Houwen, P. J.; Sommeijer, B. P.
3
1983
Convergence and stability analysis for modified Runge-Kutta methods in the numerical treatment of second kind Volterra integral equations. Zbl 0443.65098
van der Houwen, P. J.; Wolkenfelt, P. H. M.; Baker, C. T. H.
3
1980
Analysis of numerical methods for second kind Volterra equations by imbedding techniques. Zbl 0451.65098
Wolkenfelt, P. H. M.; van der Houwen, P. J.; Baker, Chr. T. H.
3
1981
Stabilized Runge-Kutta methods with limited storage requirements. Zbl 0236.65048
van der Houwen, P. J.
3
1971
Two-level difference schemes with varying mesh sizes for the shallow water equations. Zbl 0326.76016
van der Houwen, P. J.
3
1975
Factorization in block-triangularly implicit methods for shallow water applications. Zbl 1013.76061
van der Houwen, P. J.; Sommeijer, B. P.
3
2001
Iterated splitting methods of high order for time-dependent partial differential equations. Zbl 0566.65054
van der Houwen, P. J.
2
1984
Supplement to Linear multistep methods for Volterra integral and integro- differential equations. Zbl 0597.65097
van der Houwen, P. J.; te Riele, H. J. J.
2
1985
The use of approximate factorization in stiff ODE solvers. Zbl 0932.65078
van der Houwen, P. J.; Sommeijer, B. P.
2
1998
Linear multistep methods for Volterra integral equations of the second kind. Zbl 0527.65089
van der Houwen, P. J.; te Riele, Herman J. J.
2
1982
Linear multistep methods for Volterra integral and integrodifferential equations. Zbl 0527.65090
van der Houwen, P. J.; te Riele, Herman J. J.
2
1983
Parallel linear system solvers for Runge-Kutta-Nyström methods. Zbl 0890.65080
van der Houwen, P. J.; Messina, E.
2
1997
Parallel solution of a coupled flow and transport model for shallow water. Zbl 1098.76594
Sommeijer, B. P.; van der Houwen, P. J.
2
2002
Smoothed predictor-corrector methods for solving partial differential equations. Zbl 0657.65109
van der Houwen, P. J.; Sommeijer, B. P.
2
1988
Note on explicit parallel multistep Runge-Kutta methods. Zbl 0683.65056
van der Houwen, P. J.; Sommeijer, B. P.; van Mourik, P. A.
2
1989
Stability analysis of numerical methods for Volterra integral equations with polynomial convolution kernels. Zbl 0459.65091
Amini, S.; Baker, C. T. H.; van der Houwen, P. J.; Wolkenfelt, P. H. M.
2
1981
Comparing time integrators for parabolic equations in two space dimensions with a mixed derivative. Zbl 0414.65057
van der Houwen, P. J.; Sommeijer, B. P.; Verwer, J. G.
2
1979
On the numerical solution of Volterra integral equations of the second kind. II. Runge-Kutta methods. Zbl 0408.65078
van der Houwen, P. J.; Blom, J. G.
2
1978
Difference schemes with complex time steps. Zbl 0194.19105
van der Houwen, P. J.
2
1969
Stabilized Runge-Kutta methods for second order differential equations without first derivatives. Zbl 0333.65032
van der Houwen, P. J.
2
1975
Multistep splitting methods of high order for initial value problems. Zbl 0377.34002
Van der Houwen, P. J.
2
1977
On the acceleration of Richardson’s method. I: Theoretical part. Zbl 0189.47702
van der Houwen, P. J.
2
1967
Finite difference methods for solving partial differential equations. Zbl 0211.40401
van der Houwen, P. J.
2
1968
On the numerical solution of Volterra integral equations of the second kind. I: Stability. Zbl 0372.65053
van der Houwen, P. J.
2
1977
Reduction of dispersion in hyperbolic difference schemes by adapting the space discretization. Zbl 0596.65058
van der Houwen, P. J.; Sommeijer, B. P.
1
1986
High order difference schemes with reduced dispersion for hyperbolic differential equations. Zbl 0589.65068
van der Houwen, P. J.; Sommeijer, B. P.
1
1985
Stability results for discrete Volterra equations. Zbl 0604.65095
van der Houwen, P. J.
1
1985
Iteration of Runge-Kutta methods with block triangular Jacobians. Zbl 0883.65062
van der Houwen, P. J.; Sommeijer, B. P.
1
1996
Fractional Runge-Kutta methods with application to convection-diffusion equations. Zbl 0763.65088
van der Houwen, P. J.; Sommeijer, B. P.
1
1992
CWI contributions to the development of parallel Runge-Kutta methods. Zbl 0911.65064
van der Houwen, P. J.; Sommeijer, B. P.
1
1998
Parallel aspects of integration methods for initial value problems. Zbl 0927.65093
van der Houwen, P. J.
1
1998
Parallel Adams methods. Zbl 0946.65057
van der Houwen, P. J.; Messina, E.
1
1999
Splitting methods for second-order initial value problems. Zbl 0927.65087
van der Houwen, P. J.; Messina, E.
1
1998
Software with low storage requirements for two-dimensional, nonlinear, parabolic differential equations. Zbl 0548.65087
Sommeijer, B. P.; van der Houwen, P. J.
1
1984
Special issue: Numerical methods for ordinary differential equations (ANODE 2001), Auckland, New Zealand, January 8–12, 2001. Selected papers. Zbl 1017.00022
1
2002
Parallel solution of a coupled flow and transport model for shallow water. Zbl 1098.76594
Sommeijer, B. P.; van der Houwen, P. J.
2
2002
Special issue: Numerical methods for ordinary differential equations (ANODE 2001), Auckland, New Zealand, January 8–12, 2001. Selected papers. Zbl 1017.00022
1
2002
Approximate factorization in shallow water applications. Zbl 1158.76416
van der Houwen, P. J.; Sommeijer, B. P.
1
2002
Approximate factorization for time-dependent partial differential equations. Zbl 0974.65089
van der Houwen, P. J.; Sommeijer, B. P.
36
2001
Parallel iteration of the extended backward differentiation formulas. Zbl 0980.65066
Frank, J. E.; van der Houwen, P. J.
7
2001
Factorization in block-triangularly implicit methods for shallow water applications. Zbl 1013.76061
van der Houwen, P. J.; Sommeijer, B. P.
3
2001
Diagonally implicit Runge-Kutta methods for 3D shallow water applications. Zbl 0958.76063
van der Houwen, P. J.; Sommeijer, B. P.
4
2000
Diagonalizable extended backward differentiation formulas. Zbl 0963.65079
Frank, J. E.; van der Houwen, P. J.
1
2000
Parallel Adams methods. Zbl 0946.65057
van der Houwen, P. J.; Messina, E.
1
1999
Analysis approximate factorization in iteration methods. Zbl 0931.65074
Eichler-Liebenow, C.; van der Houwen, P. J.; Sommeijer, B. P.
9
1998
The use of approximate factorization in stiff ODE solvers. Zbl 0932.65078
van der Houwen, P. J.; Sommeijer, B. P.
2
1998
CWI contributions to the development of parallel Runge-Kutta methods. Zbl 0911.65064
van der Houwen, P. J.; Sommeijer, B. P.
1
1998
Parallel aspects of integration methods for initial value problems. Zbl 0927.65093
van der Houwen, P. J.
1
1998
Splitting methods for second-order initial value problems. Zbl 0927.65087
van der Houwen, P. J.; Messina, E.
1
1998
Triangularly implicit iteration methods for ODE-IVP solvers. Zbl 0872.65072
van der Houwen, P. J.; de Swart, J. J. B.
34
1997
Parallel linear system solvers for Runge-Kutta methods. Zbl 0886.65078
van der Houwen, P. J.; de Swart, J. J. B.
23
1997
The iterative solution of fully implicit discretizations of three-dimensional transport models. Zbl 0890.65099
van der Houwen, P. J.; Sommeijer, B. P.; Kok, J.
11
1997
Euler-Chebyshev methods for integro-differential equations. Zbl 0881.65141
van der Houwen, P. J.; Sommeijer, B. P.
10
1997
Waveform relaxation methods for implicit differential equations. Zbl 0884.65075
van der Houwen, P. J.; van der Veen, W. A.
3
1997
Splitting methods for three-dimensional transport models with interaction terms. Zbl 0920.76060
van der Houwen, P. J.; Sommeijer, B. P.
3
1997
Parallel linear system solvers for Runge-Kutta-Nyström methods. Zbl 0890.65080
van der Houwen, P. J.; Messina, E.
2
1997
The solution of implicit differential equations on parallel computers. Zbl 0890.65070
van der Houwen, P. J.; van der Veen, W. A.
1
1997
The development of Runge-Kutta methods for partial differential equations. Zbl 0857.65094
van der Houwen, P. J.
23
1996
Parallel predictor-corrector methods. Zbl 0860.65065
van der Houwen, P. J.; Sommeijer, B. P.; de Swart, J. J. B.
6
1996
CWI contributions to the development of parallel Runge-Kutta methods. Zbl 0868.65042
van der Houwen, P. J.; Sommeijer, B. P.
3
1996
Iteration of Runge-Kutta methods with block triangular Jacobians. Zbl 0883.65062
van der Houwen, P. J.; Sommeijer, B. P.
1
1996
Parallel iteration across the steps of high-order Runge-Kutta methods for nonstiff initial value problems. Zbl 0837.65077
van der Houwen, P. J.; Sommeijer, B. P.; van der Veen, W. A.
6
1995
Convergence aspects of step-parallel iteration of Runge-Kutta methods. Zbl 0837.65076
van der Veen, W. A.; de Swart, J. J. B.; van der Houwen, P. J.
3
1995
Parallelism across the steps in iterated Runge-Kutta methods for stiff initial value problems. Zbl 0814.65080
van der Houwen, P. J.; Sommeijer, B. P.; van der Veen, W. A.
6
1994
Time integration of three-dimensional numerical transport models. Zbl 0819.65122
Sommeijer, B. P.; van der Houwen, P. J.; Kok, J.
5
1994
Butcher-Kuntzmann methods for nonstiff problems on parallel computers. Zbl 0812.65064
van der Houwen, P. J.; Sommeijer, B. P.
4
1994
Preconditioning in parallel Runge-Kutta methods for stiff initial value problems. Zbl 0872.65064
van der Houwen, P. J.; Sommeijer, B. P.
1
1994
Parallel block predictor-corrector methods of Runge-Kutta type. Zbl 0786.65060
van der Houwen, P. J.; Nguyen huu Cong
19
1993
Analysis of parallel diagonally implicit iteration of Runge-Kutta methods. Zbl 0787.65054
van der Houwen, P. J.; Sommeijer, B. P.
14
1993
Parallel step-by-step methods. Zbl 0798.65077
van der Houwen, P. J.
8
1993
Stability of parallel Volterra-Runge-Kutta methods. Zbl 0802.65133
Crisci, M. R.; Russo, E.; Van der Houwen, P. J.; Vecchio, A.
6
1993
Preconditioning in implicit initial-value problem methods on parallel computers. Zbl 0824.65050
van der Houwen, P. J.
3
1993
\(A\)-stable parallel block methods for ordinary and integro-differential equations. Zbl 0749.65050
Sommeijer, B. P.; Couzy, W.; van der Houwen, P. J.
21
1992
Embedded diagonally implicit Runge-Kutta algorithms on parallel computers. Zbl 0744.65050
van der Houwen, P. J.; Sommeijer, B. P.; Couzy, W.
21
1992
Block Runge-Kutta methods on parallel computers. Zbl 0788.65080
van der Houwen, P. J.; Sommeijer, B. P.
21
1992
Parallel diagonally implicit Runge-Kutta-Nyström methods. Zbl 0747.65059
van der Houwen, P. J.; Sommeijer, B. P.; Nguyen huu Cong
12
1992
Fractional Runge-Kutta methods with application to convection-diffusion equations. Zbl 0763.65088
van der Houwen, P. J.; Sommeijer, B. P.
1
1992
Stability of collocation-based Runge-Kutta-Nyström methods. Zbl 0731.65071
van der Houwen, P. J.; Sommeijer, B. P.; Nguyen Huu Cong
50
1991
Iterated Runge-Kutta methods on parallel computers. Zbl 0732.65065
van der Houwen, P. J.; Sommeijer, B. P.
46
1991
Numerical analysis of time-dependent Boussinesq models. Zbl 0745.76052
van der Houwen, P. J.; Mooiman, J.; Wubs, F. W.
1
1991
Parallel iteration of high-order Runge-Kutta methods with stepsize control. Zbl 0682.65039
van der Houwen, P. J.; Sommeijer, B. P.
42
1990
Improving the stability of predictor-corrector methods by residue smoothing. Zbl 0704.65060
van der Houwen, P. J.; Sommeijer, B. P.
3
1990
Analysis of smoothing operators in the solution of partial differential equations by explicit difference schemes. Zbl 0708.65088
van der Houwen, P. J.; Sommeijer, B. P.; Wubs, F. W.
1
1990
Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems. Zbl 0676.65072
van der Houwen, P. J.; Sommeijer, B. P.
80
1989
Phase-lag analysis of implicit Runge-Kutta methods. Zbl 0669.65055
Van der Houwen, P. J.; Sommeijer, B. P.
22
1989
Note on explicit parallel multistep Runge-Kutta methods. Zbl 0683.65056
van der Houwen, P. J.; Sommeijer, B. P.; van Mourik, P. A.
2
1989
Analysis of smoothing matrices for the preconditioning of elliptic difference equations. Zbl 0637.65101
van der Houwen, P. J.; Boon, C.; Wubs, F. W.
4
1988
Smoothed predictor-corrector methods for solving partial differential equations. Zbl 0657.65109
van der Houwen, P. J.; Sommeijer, B. P.
2
1988
Stabilization to explicit difference schemes by smoothing techniques. Zbl 0679.65069
van der Houwen, P. J.
1
1988
Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions. Zbl 0624.65058
Van der Houwen, P. J.; Sommeijer, B. P.
199
1987
Predictor-corrector methods for periodic second-order initial-value problems. Zbl 0631.65074
van der Houwen, P. J.; Sommeijer, B. P.
30
1987
The numerical solution of Volterra equations. Zbl 0611.65092
Brunner, Hermann; van der Houwen, P. J.
378
1986
On the stability of predictor-corrector methods for parabolic equations with delay. Zbl 0623.65094
van der Houwen, P. J.; Sommeijer, B. P.; Baker, Christopher T. H.
25
1986
On the numerical integration of second-order initial value problems with a periodic forcing function. Zbl 0589.65064
van der Houwen, P. J.; Sommeijer, B. P.; Strehmel, K.; Weiner, R.
9
1986
Symmetric linear multistep methods for second-order differential equations with periodic solutions. Zbl 0596.65046
Sommeijer, B. P.; van der Houwen, P. J.; Neta, B.
7
1986
Reduction of dispersion in hyperbolic difference schemes by adapting the space discretization. Zbl 0596.65058
van der Houwen, P. J.; Sommeijer, B. P.
1
1986
Generalized predictor-corrector methods of high order for the time integration of parabolic differential equations. Zbl 0624.65084
van der Houwen, P. J.; Sommeijer, B. P.; de Vries, H. B.
1
1986
Linear multistep methods for Volterra integral and integro-differential equations. Zbl 0597.65096
van der Houwen, P. J.; te Riele, H. J. J.
8
1985
Numerical integration of retarded differential equations with periodic solutions. Zbl 0577.65063
Arndt, H.; Van der Houwen, P. J.; Sommeijer, B. P.
5
1985
Supplement to Linear multistep methods for Volterra integral and integro- differential equations. Zbl 0597.65097
van der Houwen, P. J.; te Riele, H. J. J.
2
1985
High order difference schemes with reduced dispersion for hyperbolic differential equations. Zbl 0589.65068
van der Houwen, P. J.; Sommeijer, B. P.
1
1985
Stability results for discrete Volterra equations. Zbl 0604.65095
van der Houwen, P. J.
1
1985
Stability in linear multistep methods for pure delay equations. Zbl 0539.65052
van der Houwen, P. J.; Sommeijer, B. P.
20
1984
Linear multistep methods with reduced truncation error for periodic initial-value problems. Zbl 0566.65055
van der Houwen, P. J.; Sommeijer, B. P.
11
1984
Iterated splitting methods of high order for time-dependent partial differential equations. Zbl 0566.65054
van der Houwen, P. J.
2
1984
Software with low storage requirements for two-dimensional, nonlinear, parabolic differential equations. Zbl 0548.65087
Sommeijer, B. P.; van der Houwen, P. J.
1
1984
Stability analysis of numerical methods for Volterra integral equations with polynomial convolution kernels. Zbl 0502.65078
Amini, Siamak; Baker, Christopher T. H.; van der Houwen, Pieter J.; Wolkenfelt, Paul H. M.
8
1983
Predictor-corrector methods with improved absolute stability regions. Zbl 0533.65045
van der Houwen, P. J.; Sommeijer, B. P.
4
1983
A fourth order ADI method for semidiscrete parabolic equations. Zbl 0513.65051
van der Houwen, P. J.; de Vries, H. B.
4
1983
Improved absolute stability of predictor-corrector methods for retarded differential equations. Zbl 0507.34052
van der Houwen, P. J.; Sommeijer, B. P.
3
1983
Linear multistep methods for Volterra integral and integrodifferential equations. Zbl 0527.65090
van der Houwen, P. J.; te Riele, Herman J. J.
2
1983
On the time integration of parabolic differential equations. Zbl 0476.65063
Van der Houwen, P. J.
7
1982
A special class of multistep Runge-Kutta methods with extended real stability interval. Zbl 0481.65038
van der Houwen, P. J.; Sommeijer, B. P.
5
1982
Linear multistep methods for Volterra integral equations of the second kind. Zbl 0527.65089
van der Houwen, P. J.; te Riele, Herman J. J.
2
1982
Preconditioning and coarse grid corrections in the solution of the initial value problem for nonlinear partial differential equations. Zbl 0488.65040
van der Houwen, P. J.; de Vries, H. B.
1
1982
Backward differentiation type formulas for Volterra integral equations of the second kind. Zbl 0442.65124
van der Houwen, P. J.; te Riele, Herman J. J.
19
1981
On the treatment of time-dependent boundary conditions in splitting methods for parabolic differential equations. Zbl 0453.65062
Sommeijer, B. P.; van der Houwen, P. J.; Verwer, J. G.
12
1981
Convergence and stability analysis for modified Runge-Kutta methods in the numerical treatment of second-kind Volterra integral equations. Zbl 0465.65071
van der Houwen, P. J.; Wolkenfelt, P. H. M.; Baker, C. T. H.
10
1981
On the economization of stabilized Runge-Kutta methods with applications to parabolic initial value problems. Zbl 0461.65056
Sommeijer, B. P.; van der Houwen, P. J.
5
1981
Modified Nyström methods for semi-discrete hyperbolic differential equations. Zbl 0498.65039
van der Houwen, P. J.
4
1981
Analysis of numerical methods for second kind Volterra equations by imbedding techniques. Zbl 0451.65098
Wolkenfelt, P. H. M.; van der Houwen, P. J.; Baker, Chr. T. H.
3
1981
Stability analysis of numerical methods for Volterra integral equations with polynomial convolution kernels. Zbl 0459.65091
Amini, S.; Baker, C. T. H.; van der Houwen, P. J.; Wolkenfelt, P. H. M.
2
1981
Defect correction iteration and splitting methods for time-dependent partial differential equations. Zbl 0464.65077
van der Houwen, P. J.
1
1981
On the internal stability of explicit, m-stage Runge-Kutta methods for large m-values. Zbl 0455.65052
van der Houwen, P. J.; Sommeijer, B. P.
89
1980
Convergence and stability results in Runge-Kutta type methods for Volterra integral equations of the second kind. Zbl 0472.65095
van der Houwen, P. J.
11
1980
On the stability of multistep formulas for Volterra integral equations of the second kind. Zbl 0413.65085
Van der Houwen, P. J.; Wolkenfelt, P. H. M.
10
1980
Convergence and stability analysis of Runge-Kutta type methods for Volterra integral equations of the second kind. Zbl 0422.65071
Van der Houwen, P. J.
5
1980
Convergence and stability analysis for modified Runge-Kutta methods in the numerical treatment of second kind Volterra integral equations. Zbl 0443.65098
van der Houwen, P. J.; Wolkenfelt, P. H. M.; Baker, C. T. H.
3
1980
Modified Nyström methods for semi-discrete hyperbolic differential equations. Zbl 0417.65041
van der Houwen, P. J.
1
1980
Multistep splitting methods of high order for initial value problems. Zbl 0445.65089
van der Houwen, P. J.
1
1980
One-step splitting methods for semi-discrete parabolic equations. Zbl 0396.65053
van der Houwen, P. J.; Verwer, J. G.
19
1979
Stabilized Runge-Kutta methods for second order differential equations without first derivatives. Zbl 0415.65037
van der Houwen, P. J.
6
1979
Comparing time integrators for parabolic equations in two space dimensions with a mixed derivative. Zbl 0414.65057
van der Houwen, P. J.; Sommeijer, B. P.; Verwer, J. G.
2
1979
On the economization of stabilized Runge-Kutta methods with applications to parabolic initial value problems. Zbl 0417.65040
Sommeijer, B. P.; van der Houwer, P. J.
1
1979
On the numerical solution of Volterra integral equations of the second kind. II. Runge-Kutta methods. Zbl 0408.65078
van der Houwen, P. J.; Blom, J. G.
2
1978
...and 24 more Documents
all top 5

Cited by 1,125 Authors

70 Simos, Theodore E.
50 van der Houwen, Pieter J.
42 Sommeijer, Ben P.
32 Vecchio, Antonia
31 Brunner, Hermann
31 Tsitouras, Charalampos
25 Messina, Eleonora
24 Paternoster, Beatrice
23 Verwer, Jan G.
22 Cong, Nguyen Huu
22 Russo, Elvira
22 Wu, Xinyuan
21 Fang, Yonglei
18 You, Xiong
17 Crisci, Maria Rosaria
17 González-Pinto, Severiano
16 Conte, Dajana
16 Zhang, Chengjian
15 Ismail, Fudziah Bt.
15 Senu, Norazak
15 Weiner, Rüdiger
14 Jackiewicz, Zdzislaw
14 Van de Vyver, Hans
13 D’Ambrosio, Raffaele
13 Franco, J. Méndez
13 Pérez Rodríguez, S.
12 Hernandez-Abreu, Domingo
12 Pedas, Arvet
11 Abdi, Ali
11 Abdulle, Assyr
11 Baker, Christopher Thomas Hale
11 Cardone, Angelamaria
11 Hojjati, Gholamreza
11 Vanden Berghe, Guido
11 Wang, Bin
10 Brugnano, Luigi
10 Rández, Luis
10 Van Daele, Marnix
10 Yi, Lijun
9 Bulatov, Mikhail Valer’yanovich
9 Burrage, Kevin
9 Calvo, Manuel
9 Jorge, Juan Carlos
9 Nguyen huu Cong
8 De Meyer, Hans E.
8 Diogo, Teresa
8 Ford, Neville J.
8 Magherini, Cecilia
8 Martín-Vaquero, Jesús
8 Moreta, María Jesús
8 Ramos, Higinio
8 Strehmel, Karl
8 Suleiman, Mohamed Bin
8 Tian, Hongjiong
7 Bochev, M. A.
7 Bujanda, Blanca
7 Chen, Hao
7 de Swart, Jacques J. B.
7 Huang, Chengming
7 Hundsdorfer, Willem H.
7 Kauthen, Jean-Paul
7 Kolmanovskii, Vladimir Borisovich
7 Montijano, Juan Ignacio
7 Van der Veen, Wolter Adriaan
6 Chawla, Man M.
6 Famelis, Ioannis Th.
6 Li, Jiyong
6 Li, Qinghong
6 Lima, Pedro Miguel
6 Neta, Beny
6 Tamme, Enn
6 Vermiglio, Rossana
6 Wang, Wansheng
5 Alonso-Mallo, Isaías
5 Anastassi, Zacharias A.
5 Bellen, Alfredo
5 Berenguer, María Isabel
5 Cano, Begoña
5 Chen, Zhaoxia
5 Fazeli, Somayyeh
5 Hairer, Ernst
5 Han, Guoqiang
5 Izzo, Giuseppe
5 Katani, Roghayeh
5 Komori, Yoshio
5 Lin, Yanping
5 Makroglou, Athena
5 Ostermann, Alexander
5 Papageorgiou, George
5 Podhaisky, Helmut
5 Seaïd, Mohammed
5 Shi, Wei
5 Vainikko, Gennadi
5 Vilmart, Gilles
5 Zennaro, Marino
5 Zhai, Wenjuan
5 Zhao, Jingjun
4 Abdalkhani, Javad
4 Al-Zanaidi, Mansour A.
4 Amiraliyev, Gabil M.
...and 1,025 more Authors
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Cited in 161 Serials

210 Journal of Computational and Applied Mathematics
154 Applied Numerical Mathematics
78 Applied Mathematics and Computation
51 Computers & Mathematics with Applications
44 Journal of Computational Physics
39 International Journal of Computer Mathematics
34 BIT
31 Journal of Scientific Computing
31 Numerical Algorithms
27 Computer Physics Communications
24 Computing
23 Numerische Mathematik
21 Journal of Integral Equations and Applications
20 Mathematics and Computers in Simulation
19 Mathematics of Computation
18 SIAM Journal on Scientific Computing
17 Mathematical Methods in the Applied Sciences
12 Applied Mathematical Modelling
12 Journal of Mathematical Chemistry
11 Journal of Mathematical Analysis and Applications
11 Mathematical and Computer Modelling
11 Japan Journal of Industrial and Applied Mathematics
10 Computational and Applied Mathematics
10 International Journal of Modern Physics C
9 Computers and Fluids
9 Computer Methods in Applied Mechanics and Engineering
9 Abstract and Applied Analysis
8 Advances in Computational Mathematics
7 Calcolo
7 Applied Mathematics Letters
6 International Journal for Numerical Methods in Engineering
6 Computational Mathematics and Mathematical Physics
6 Communications in Nonlinear Science and Numerical Simulation
5 Numerical Methods for Partial Differential Equations
5 Discrete Dynamics in Nature and Society
4 Physics Letters. A
4 Communications in Numerical Methods in Engineering
4 Mathematical Problems in Engineering
4 Discrete and Continuous Dynamical Systems. Series B
4 BIT. Nordisk Tidskrift for Informationsbehandling
4 Frontiers of Mathematics in China
3 Chaos, Solitons and Fractals
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 SIAM Journal on Numerical Analysis
3 Zeitschrift für Analysis und ihre Anwendungen
3 Mathematical Modelling and Analysis
3 Journal of Applied Mathematics
3 Journal of Applied Mathematics and Computing
3 Mediterranean Journal of Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Nonlinear Analysis. Theory, Methods & Applications
2 International Journal for Numerical Methods in Fluids
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Molecular Simulation
2 Journal of the Nigerian Mathematical Society
2 Applications of Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Linear Algebra and its Applications
2 Discrete and Continuous Dynamical Systems
2 Computing and Visualization in Science
2 Journal of Inequalities and Applications
2 Lobachevskii Journal of Mathematics
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Differential Equations
2 Advances in Difference Equations
2 Discrete and Continuous Dynamical Systems. Series S
2 Numerical Algebra, Control and Optimization
2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
2 Axioms
2 East Asian Journal on Applied Mathematics
2 Iranian Journal of Numerical Analysis and Optimization
1 International Journal of Modern Physics B
1 Acta Mechanica
1 International Journal of Theoretical Physics
1 Journal of Applied Mathematics and Mechanics
1 Journal of the Franklin Institute
1 Lithuanian Mathematical Journal
1 Mathematical Biosciences
1 Physica A
1 Physics Reports
1 Wave Motion
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 ACM Transactions on Mathematical Software
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Aplikace Matematiky
1 Archiv der Mathematik
1 Information Sciences
1 Integral Equations and Operator Theory
1 Journal of Soviet Mathematics
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Proceedings of the Japan Academy. Series A
1 Theoretical Population Biology
1 Optimal Control Applications & Methods
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Journal of Computational Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
...and 61 more Serials
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Cited in 37 Fields

1,096 Numerical analysis (65-XX)
395 Ordinary differential equations (34-XX)
324 Integral equations (45-XX)
176 Partial differential equations (35-XX)
75 Fluid mechanics (76-XX)
28 Biology and other natural sciences (92-XX)
23 Probability theory and stochastic processes (60-XX)
20 Dynamical systems and ergodic theory (37-XX)
19 Classical thermodynamics, heat transfer (80-XX)
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16 Computer science (68-XX)
15 Difference and functional equations (39-XX)
15 Mechanics of particles and systems (70-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Quantum theory (81-XX)
12 Approximations and expansions (41-XX)
9 Real functions (26-XX)
9 Geophysics (86-XX)
8 Operations research, mathematical programming (90-XX)
6 Operator theory (47-XX)
6 Statistical mechanics, structure of matter (82-XX)
6 Systems theory; control (93-XX)
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5 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
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1 Combinatorics (05-XX)
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