P. J. van der Houwen. Finite difference methods for solving partial differential equations. Mathematical centre tracts 20, Mathematical Centre, Amsterdam, 1968. Home/Search Document Not in Database Summary Related Articles Check |
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A Toolkit for Parallel Functional Programming - Hartel, Hofman, Langendoen.. (1995) (3 citations) (Correct)
....(fl) are taken into account. The effect of the atmospheric pressure has been ignored because it is relatively small. A numerical approximation for the partial differential Equations 1 3 is given in the finite difference scheme of Equations 4 6 below. For a formal derivation see van der Houwen [17]. The variables u, v and h in Equations 1 3 are approximated in Equations 4 6 by values u k i;j , v k i;j and h k i;j on a spatial grid at discrete points in time. The grid coordinates are i and j and the superscript k represents the discrete time steps. The depth D does not vary in time (h ....
P. J. van der Houwen. Finite difference methods for solving partial differential equations. Mathematical centre tracts 20, Mathematical Centre, Amsterdam, 1968.
Experiments With Destructive Updates in a Lazy Functional.. - Hartel, Vree (1994) (1 citation) (Correct)
....(fl) are taken into account. The effect of the atmospheric pressure has been ignored because it is relatively small. A numerical approximation for the partial differential Equations 1 3 is given in the finite difference scheme of Equations 4 6 below. For a formal derivation see van der Houwen [25]. The variables u, v and h in Equations 1 3 are approximated in Equations 4 6 by values u k i;j , v k i;j and h k i;j on a spatial grid at discrete points in time. The grid coordinates are i and j and the superscript k represents the discrete time steps. The depth D does not vary in time (h ....
....shifted with respect to each other, in about the same way as the red, green and blue dots that correspond to the pixels of a colour monitor. This alignment of the matrices is called a space staggered grid, and it has important advantages for the stability of the computations. See van der Houwen [25] for further details. Because of the choice of a space staggered grid the equations for u k i;j and v k i;j are asymmetrical: u k 1 i;j = u k i;j Gamma g 4t 24x (h k i;j Gamma h k i Gamma1;j ) f 4t 4 (v k i Gamma1;j v k i Gamma1;j 1 v k i;j v k i;j 1 ) Gamma24t u k ....
P. J. van der Houwen. Finite difference methods for solving partial differential equations. Mathematical centre tracts 20, Mathematical Centre, Amsterdam, 1968.
Declarative Solutions to Partitioned-Grid Problems - Hartel, Vree (1994) (1 citation) (Correct)
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P. J. van der Houwen. Finite difference methods for solving partial differential equations. Mathematical centre tracts 20, Mathematical Centre, Amsterdam, 1968.
High-Order Compact Finite Difference Schemes for Computational.. - Spotz (1995) (11 citations) (Correct)
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P.J. van der Houven. Finite Difference Methods for Solving Partial Differential Equations. Amsterdam, 1968.
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