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Author ID: sommeijer.ben-p Recent zbMATH articles by "Sommeijer, Ben P."
Published as: Sommeijer, B. P.; Sommeijer, Ben; Sommeiljer, Ben P.; Sommeijer, Ben P.
Documents Indexed: 94 Publications since 1979, including 7 Books
3 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 36 Co-Authors with 86 Joint Publications
733 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

80 Publications have been cited 1,326 times in 866 Documents Cited by Year
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
Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems. Zbl 0676.65072
van der Houwen, P. J.; Sommeijer, B. P.
80
1989
RKC: An explicit solver for parabolic PDEs. Zbl 0910.65067
Sommeijer, B. P.; Shampine, L. F.; Verwer, J. G.
71
1998
Convergence properties of the Runge-Kutta-Chebyshev method. Zbl 0697.65072
Verwer, J. G.; Hundsdorfer, W. H.; Sommeijer, B. P.
70
1990
RKC time-stepping for advection-diffusion-reaction problems. Zbl 1059.65085
Verwer, J. G.; Sommeijer, B. P.; Hundsdorfer, W.
58
2004
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
An implicit-explicit Runge–Kutta–Chebyshev scheme for diffusion-reaction equations. Zbl 1061.65090
Verwer, J. G.; Sommeijer, B. P.
40
2004
Approximate factorization for time-dependent partial differential equations. Zbl 0974.65089
van der Houwen, P. J.; Sommeijer, B. P.
36
2001
Explicit, high-order Runge-Kutta-Nyström methods for parallel computers. Zbl 0787.65055
Sommeijer, B. P.
33
1993
Critical conditions for phytoplankton blooms. Zbl 1323.92161
Ebert, Ute; Arrayás, Manuel; Temme, Nico; Sommeijer, Ben; Huisman, Jef
31
2001
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
Phase-lag analysis of implicit Runge-Kutta methods. Zbl 0669.65055
Van der Houwen, P. J.; Sommeijer, B. P.
22
1989
Block Runge-Kutta methods on parallel computers. Zbl 0788.65080
van der Houwen, P. J.; Sommeijer, B. P.
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
\(A\)-stable parallel block methods for ordinary and integro-differential equations. Zbl 0749.65050
Sommeijer, B. P.; Couzy, W.; van der Houwen, P. J.
20
1992
Stability in linear multistep methods for pure delay equations. Zbl 0539.65052
van der Houwen, P. J.; Sommeijer, B. P.
20
1984
IRKC: an IMEX solver for stiff diffusion-reaction PDEs. Zbl 1100.65075
Shampine, L. F.; Sommeijer, B. P.; Verwer, J. G.
19
2006
A second-order, unconditionally positive, mass-conserving integration scheme for biochemical systems. Zbl 1123.65067
Bruggeman, Jorn; Burchard, Hans; Kooi, Bob W.; Sommeijer, Ben
18
2007
Numerical continuation of equilibria of physiologically structured population models. I: Theory. Zbl 1013.92036
Kirkilionis, Markus A.; Diekmann, Odo; Lisser, Bert; Nool, Margreet; Sommeijer, Ben; de Roos, Andre M.
16
2001
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
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
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
Euler-Chebyshev methods for integro-differential equations. Zbl 0881.65141
van der Houwen, P. J.; Sommeijer, B. P.
10
1997
Blooming in a nonlocal, coupled phytoplankton-nutrient model. Zbl 1178.35041
Zagaris, A.; Doelman, A.; Thi, N. N. Pham; Sommeijer, B. P.
10
2009
A note on a diagonally implicit Runge-Kutta-Nyström method. Zbl 0637.65065
Sommeijer, B. P.
9
1987
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
Parallel-iterated Runge-Kutta methods for stiff ordinary differential equations. Zbl 0782.65096
Sommeijer, B. P.
8
1993
A performance evaluation of a class of Runge-Kutta-Chebyshev methods for solving semi-discrete parabolic differential equations. Zbl 0441.65070
Sommeijer, B. P.; Verwer, J. G.
8
1980
Simulation of three-dimensional phytoplankton dynamics: competition in light-limited environments. Zbl 1062.65145
Pham Thi, N. N.; Huisman, J.; Sommeijer, B. P.
7
2005
An iterated Radau method for time-dependent PDEs. Zbl 1168.65049
Perez-Rodriguez, S.; Gonzalez-Pinto, S.; Sommeijer, B. P.
7
2009
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
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
Increasing the real stability boundary of explicit methods. Zbl 0711.65068
Sommeijer, B. P.
6
1990
On stabilized integration for time-dependent PDEs. Zbl 1119.65382
Sommeijer, B. P.; Verwer, J. G.
6
2007
Parallel predictor-corrector methods. Zbl 0860.65065
van der Houwen, P. J.; Sommeijer, B. P.; de Swart, J. J. B.
6
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
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
Time integration of three-dimensional numerical transport models. Zbl 0819.65122
Sommeijer, B. P.; van der Houwen, P. J.; Kok, J.
5
1994
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
Numerical integration of retarded differential equations with periodic solutions. Zbl 0577.65063
Arndt, H.; Van der Houwen, P. J.; Sommeijer, B. P.
5
1985
Parallelism in the numerical integration of initial value problems. Zbl 0782.65095
Sommeijer, B. P.
5
1993
Positivity for explicit two-step methods in linear multistep and one-leg form. Zbl 1109.65063
Pham Thi, N. N.; Hundsdorfer, W.; Sommeijer, B. P.
5
2006
Butcher-Kuntzmann methods for nonstiff problems on parallel computers. Zbl 0812.65064
van der Houwen, P. J.; Sommeijer, B. P.
4
1994
Splitting methods for three-dimensional bio-chemical transport. Zbl 0862.76051
Sommeijer, B. P.; Kok, J.
4
1996
Diagonally implicit Runge-Kutta methods for 3D shallow water applications. Zbl 0958.76063
van der Houwen, P. J.; Sommeijer, B. P.
4
2000
Predictor-corrector methods with improved absolute stability regions. Zbl 0533.65045
van der Houwen, P. J.; Sommeijer, B. P.
4
1983
Implementation and performance of the time integration of a 3D numerical transport model. Zbl 0841.76059
Sommeijer, B. P.; Kok, J.
4
1995
CWI contributions to the development of parallel Runge-Kutta methods. Zbl 0868.65042
van der Houwen, P. J.; Sommeijer, B. P.
3
1996
Improved absolute stability of predictor-corrector methods for retarded differential equations. Zbl 0507.34052
van der Houwen, P. J.; Sommeijer, B. P.
3
1983
Improving the stability of predictor-corrector methods by residue smoothing. Zbl 0704.65060
van der Houwen, P. J.; Sommeijer, B. P.
3
1990
A numerical study of mixed parabolic-gradient systems. Zbl 1013.65093
Verwer, J. G.; Sommeijer, B. P.
3
2001
Factorization in block-triangularly implicit methods for shallow water applications. Zbl 1013.76061
van der Houwen, P. J.; Sommeijer, B. P.
3
2001
Splitting methods for three-dimensional transport models with interaction terms. Zbl 0920.76060
van der Houwen, P. J.; Sommeijer, B. P.
3
1997
Smoothed predictor-corrector methods for solving partial differential equations. Zbl 0657.65109
van der Houwen, P. J.; Sommeijer, B. P.
2
1988
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
Stability analysis of an odd-even-line hopscotch method for three-dimensional advection-diffusion problems. Zbl 0872.65085
Verwer, J. G.; Sommeijer, B. P.
2
1997
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
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
The use of approximate factorization in stiff ODE solvers. Zbl 0932.65078
van der Houwen, P. J.; Sommeijer, B. P.
2
1998
The iterative solution of fully implicit discretization of three-dimensional transport models. Zbl 1073.76604
Sommeijer, B. P.
2
1999
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
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
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
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
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
High order difference schemes with reduced dispersion for hyperbolic differential equations. Zbl 0589.65068
van der Houwen, P. J.; Sommeijer, B. P.
1
1985
Approximate factorization in shallow water applications. Zbl 1158.76416
van der Houwen, P. J.; Sommeijer, B. P.
1
2002
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
Preconditioning in parallel Runge-Kutta methods for stiff initial value problems. Zbl 0872.65064
van der Houwen, P. J.; Sommeijer, B. P.
1
1994
CWI contributions to the development of parallel Runge-Kutta methods. Zbl 0911.65064
van der Houwen, P. J.; Sommeijer, B. P.
1
1998
An explicit Runge-Kutta method of order twenty-five. Zbl 0913.65070
Sommeijer, B. P.
1
1998
Implementation and performance of the time integration of a 3D numerical transport model. Zbl 0846.76063
Sommeijer, B. P.; Kok, J.
1
1995
Blooming in a nonlocal, coupled phytoplankton-nutrient model. Zbl 1178.35041
Zagaris, A.; Doelman, A.; Thi, N. N. Pham; Sommeijer, B. P.
10
2009
An iterated Radau method for time-dependent PDEs. Zbl 1168.65049
Perez-Rodriguez, S.; Gonzalez-Pinto, S.; Sommeijer, B. P.
7
2009
A second-order, unconditionally positive, mass-conserving integration scheme for biochemical systems. Zbl 1123.65067
Bruggeman, Jorn; Burchard, Hans; Kooi, Bob W.; Sommeijer, Ben
18
2007
On stabilized integration for time-dependent PDEs. Zbl 1119.65382
Sommeijer, B. P.; Verwer, J. G.
6
2007
IRKC: an IMEX solver for stiff diffusion-reaction PDEs. Zbl 1100.65075
Shampine, L. F.; Sommeijer, B. P.; Verwer, J. G.
19
2006
Positivity for explicit two-step methods in linear multistep and one-leg form. Zbl 1109.65063
Pham Thi, N. N.; Hundsdorfer, W.; Sommeijer, B. P.
5
2006
Simulation of three-dimensional phytoplankton dynamics: competition in light-limited environments. Zbl 1062.65145
Pham Thi, N. N.; Huisman, J.; Sommeijer, B. P.
7
2005
RKC time-stepping for advection-diffusion-reaction problems. Zbl 1059.65085
Verwer, J. G.; Sommeijer, B. P.; Hundsdorfer, W.
58
2004
An implicit-explicit Runge–Kutta–Chebyshev scheme for diffusion-reaction equations. Zbl 1061.65090
Verwer, J. G.; Sommeijer, B. P.
40
2004
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
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
Critical conditions for phytoplankton blooms. Zbl 1323.92161
Ebert, Ute; Arrayás, Manuel; Temme, Nico; Sommeijer, Ben; Huisman, Jef
31
2001
Numerical continuation of equilibria of physiologically structured population models. I: Theory. Zbl 1013.92036
Kirkilionis, Markus A.; Diekmann, Odo; Lisser, Bert; Nool, Margreet; Sommeijer, Ben; de Roos, Andre M.
16
2001
A numerical study of mixed parabolic-gradient systems. Zbl 1013.65093
Verwer, J. G.; Sommeijer, B. P.
3
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
The iterative solution of fully implicit discretization of three-dimensional transport models. Zbl 1073.76604
Sommeijer, B. P.
2
1999
RKC: An explicit solver for parabolic PDEs. Zbl 0910.65067
Sommeijer, B. P.; Shampine, L. F.; Verwer, J. G.
71
1998
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
An explicit Runge-Kutta method of order twenty-five. Zbl 0913.65070
Sommeijer, B. P.
1
1998
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
Splitting methods for three-dimensional transport models with interaction terms. Zbl 0920.76060
van der Houwen, P. J.; Sommeijer, B. P.
3
1997
Stability analysis of an odd-even-line hopscotch method for three-dimensional advection-diffusion problems. Zbl 0872.65085
Verwer, J. G.; Sommeijer, B. P.
2
1997
Parallel predictor-corrector methods. Zbl 0860.65065
van der Houwen, P. J.; Sommeijer, B. P.; de Swart, J. J. B.
6
1996
Splitting methods for three-dimensional bio-chemical transport. Zbl 0862.76051
Sommeijer, B. P.; Kok, J.
4
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
Implementation and performance of the time integration of a 3D numerical transport model. Zbl 0841.76059
Sommeijer, B. P.; Kok, J.
4
1995
Implementation and performance of the time integration of a 3D numerical transport model. Zbl 0846.76063
Sommeijer, B. P.; Kok, J.
1
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
Explicit, high-order Runge-Kutta-Nyström methods for parallel computers. Zbl 0787.65055
Sommeijer, B. P.
33
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-iterated Runge-Kutta methods for stiff ordinary differential equations. Zbl 0782.65096
Sommeijer, B. P.
8
1993
Parallelism in the numerical integration of initial value problems. Zbl 0782.65095
Sommeijer, B. P.
5
1993
Block Runge-Kutta methods on parallel computers. Zbl 0788.65080
van der Houwen, P. J.; Sommeijer, B. P.
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
\(A\)-stable parallel block methods for ordinary and integro-differential equations. Zbl 0749.65050
Sommeijer, B. P.; Couzy, W.; van der Houwen, P. J.
20
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
Convergence properties of the Runge-Kutta-Chebyshev method. Zbl 0697.65072
Verwer, J. G.; Hundsdorfer, W. H.; Sommeijer, B. P.
70
1990
Parallel iteration of high-order Runge-Kutta methods with stepsize control. Zbl 0682.65039
van der Houwen, P. J.; Sommeijer, B. P.
42
1990
Increasing the real stability boundary of explicit methods. Zbl 0711.65068
Sommeijer, B. P.
6
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
Smoothed predictor-corrector methods for solving partial differential equations. Zbl 0657.65109
van der Houwen, P. J.; Sommeijer, B. P.
2
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
A note on a diagonally implicit Runge-Kutta-Nyström method. Zbl 0637.65065
Sommeijer, B. P.
9
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
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
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
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
Numerical integration of retarded differential equations with periodic solutions. Zbl 0577.65063
Arndt, H.; Van der Houwen, P. J.; Sommeijer, B. P.
5
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 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
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
Predictor-corrector methods with improved absolute stability regions. Zbl 0533.65045
van der Houwen, P. J.; Sommeijer, B. P.
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
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
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
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
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
A performance evaluation of a class of Runge-Kutta-Chebyshev methods for solving semi-discrete parabolic differential equations. Zbl 0441.65070
Sommeijer, B. P.; Verwer, J. G.
8
1980
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
all top 5

Cited by 984 Authors

70 Simos, Theodore E.
42 van der Houwen, Pieter J.
39 Sommeijer, Ben P.
31 Tsitouras, Charalampos
22 Cong, Nguyen Huu
22 Wu, Xinyuan
21 Fang, Yonglei
19 Verwer, Jan G.
18 You, Xiong
17 González-Pinto, Severiano
15 Ismail, Fudziah Bt.
15 Senu, Norazak
14 Franco, J. Méndez
14 Van de Vyver, Hans
13 Abdulle, Assyr
13 Jator, Samuel N.
13 Pérez Rodríguez, S.
12 Hernandez-Abreu, Domingo
11 Paternoster, Beatrice
11 Wang, Bin
10 Vanden Berghe, Guido
10 Weiner, Rüdiger
9 Burrage, Kevin
9 Meister, Andreas
9 Rández, Luis
9 Tian, Hongjiong
9 Van Daele, Marnix
8 Montijano, Juan Ignacio
8 Nguyen huu Cong
8 Ramos, Higinio
8 Suleiman, Mohamed Bin
7 Bochev, M. A.
7 Calvo, Manuel
7 De Meyer, Hans E.
7 de Roos, André M.
7 Kopecz, Stefan
7 Martín-Vaquero, Jesús
7 Moreta, María Jesús
7 Seaïd, Mohammed
7 Zhang, Yongtao
6 Famelis, Ioannis Th.
6 Hundsdorfer, Willem H.
6 Li, Jiyong
6 Li, Qinghong
6 Najm, Habib N.
6 Neta, Beny
6 Sandu, Adrian
6 Van der Veen, Wolter Adriaan
5 Anastassi, Zacharias A.
5 Chen, Zhaoxia
5 D’Ambrosio, Raffaele
5 de Swart, Jacques J. B.
5 El-Amrani, Mofdi
5 Jiwari, Ram
5 Jorge, Juan Carlos
5 Komori, Yoshio
5 Lam, King-Yeung
5 Lou, Yuan
5 Mittal, Ramesh Chand
5 Papageorgiou, George
5 Shi, Wei
5 Vilmart, Gilles
5 Xiao, Aiguo
5 Zhai, Wenjuan
4 Abdi, Ali
4 Al-Zanaidi, Mansour A.
4 Almuslimani, Ibrahim
4 Alonso-Mallo, Isaías
4 Avdelas, George
4 Brugnano, Luigi
4 Cano, Begoña
4 Chawla, Man M.
4 Chen, Bingzhen
4 De Souza, Giacomo Rosilho
4 Demba, Musa Ahmed
4 Diekmann, Odo
4 Gear, Charles William
4 Givoli, Dan
4 Hairer, Ernst
4 Kalogiratou, Zacharoula
4 Kleefeld, B.
4 Konguetsof, Avrilia
4 Mei, Linfeng
4 Messina, Eleonora
4 Ming, Qinghe
4 O’Sullivan, Stephen
4 Samaey, Giovanni
4 Speck, Robert
4 Vermeire, Brian C.
4 Wang, Wansheng
4 Yang, Yanping
4 Zhang, Chengjian
3 Ahmad, Sufia Zulfa
3 Alfifi, Hassan Yahya
3 Arrarás, Andres
3 Bermejo, Rodolfo
3 Blom, Joke G.
3 Bragin, Michael D.
3 Bujanda, Blanca
3 Carpio, Jaime
...and 884 more Authors
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Cited in 134 Serials

133 Journal of Computational and Applied Mathematics
101 Applied Numerical Mathematics
59 Journal of Computational Physics
53 Applied Mathematics and Computation
39 Computers & Mathematics with Applications
38 International Journal of Computer Mathematics
25 Computer Physics Communications
22 Numerical Algorithms
21 Journal of Scientific Computing
18 BIT
17 Mathematical Methods in the Applied Sciences
16 Journal of Mathematical Chemistry
14 SIAM Journal on Scientific Computing
11 Computing
10 International Journal of Modern Physics C
8 Computers and Fluids
8 Journal of Differential Equations
8 Applied Mathematics Letters
8 Japan Journal of Industrial and Applied Mathematics
8 Applied Mathematical Modelling
7 Computer Methods in Applied Mechanics and Engineering
7 Mathematics and Computers in Simulation
7 Numerische Mathematik
7 Mathematical and Computer Modelling
6 Journal of Mathematical Biology
6 Mathematics of Computation
6 SIAM Journal on Numerical Analysis
6 Numerical Methods for Partial Differential Equations
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Computational Mathematics and Mathematical Physics
5 Bulletin of Mathematical Biology
5 Communications in Numerical Methods in Engineering
5 Advances in Computational Mathematics
5 Mathematical Problems in Engineering
5 Abstract and Applied Analysis
5 Discrete and Continuous Dynamical Systems. Series B
4 Physics Letters. A
4 Discrete Dynamics in Nature and Society
4 Nonlinear Analysis. Real World Applications
3 International Journal for Numerical Methods in Fluids
3 Chaos, Solitons and Fractals
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 Theoretical Population Biology
3 Journal of the Nigerian Mathematical Society
3 Computational and Applied Mathematics
3 Mathematical Biosciences and Engineering
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Journal of Theoretical Biology
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Calcolo
2 International Journal for Numerical Methods in Engineering
2 Applied Mathematics and Mechanics. (English Edition)
2 Bulletin of the Iranian Mathematical Society
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Discrete and Continuous Dynamical Systems
2 Computing and Visualization in Science
2 International Journal of Theoretical and Applied Finance
2 Combustion Theory and Modelling
2 Journal of Applied Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Applied Mathematics and Computing
2 Mediterranean Journal of Mathematics
2 Advances in Applied Mathematics and Mechanics
2 Afrika Matematika
2 Numerical Algebra, Control and Optimization
1 International Journal of Modern Physics B
1 Acta Mechanica
1 International Journal of Theoretical Physics
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Lithuanian Mathematical Journal
1 Physics Reports
1 Wave Motion
1 Molecular Simulation
1 ACM Transactions on Mathematical Software
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Information Sciences
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Japan Academy. Series A
1 Siberian Mathematical Journal
1 Journal of Computational Mathematics
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Integral Equations and Applications
1 Linear Algebra and its Applications
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Applied Mathematics
1 Celestial Mechanics and Dynamical Astronomy
1 SIAM Journal on Optimization
1 Journal of Mathematical Imaging and Vision
1 Calculus of Variations and Partial Differential Equations
1 International Applied Mechanics
1 Engineering Analysis with Boundary Elements
1 Journal of Difference Equations and Applications
1 Doklady Mathematics
1 International Journal of Computational Fluid Dynamics
1 Differential Equations and Dynamical Systems
1 Nonlinear Dynamics
1 Journal of Inequalities and Applications
...and 34 more Serials

Citations by Year