Multiple Solutions of Order Conditions for Runge-Kutte Nystrom Methods for Second Order Differential equations: Diagonally Implicit Methods
IR@C-MMACS: CSIR-Centre for Mathematical Modelling and Computer Simulation, Bangalore
View Archive Info| Field | Value | |
| Title |
Multiple Solutions of Order Conditions
for Runge-Kutte Nystrom Methods for
Second Order Differential equations:
Diagonally Implicit Methods
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| Creator |
T R, Ramamohan
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| Subject |
Structural Mechanics
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| Description |
The order conditions for Runge-Kutta Nystrom method may have multiple
solutions because of their non-linearity. One way of exciting these solutions is to vary the
choice of the free parameters. We demonstrate this for a diagonally implicit Runge-Kutta
Nystrom method which has only one free parameter and thus serves as a good test
problem. It is shown that it is possible to obtain different third order accurate methods
with two stages for different choices of the free parameter for a diagonally implicit
method. We exploit the freedom in the selection of the parameter to obtain the method
which yields the minimum value for the principal truncation error coefficients.
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| Publisher |
CSIR Centre for Mathematical Modelling and Computer Simulation
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| Date |
2005-06
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| Type |
Monograph
NonPeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://cir.cmmacs.ernet.in/194/1/rrcm0510a.pdf
T R, Ramamohan (2005) Multiple Solutions of Order Conditions for Runge-Kutte Nystrom Methods for Second Order Differential equations: Diagonally Implicit Methods. Technical Report. CSIR Centre for Mathematical Modelling and Computer Simulation, C-MMACS,Bangalore 560037,India. (Unpublished) |
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| Relation |
http://cir.cmmacs.ernet.in/194/
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