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Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Ordinary Differential Equations (G.1.7) > Convergence And Stability (G.1.7...)
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1-8 of 8
Reviews about "Convergence And Stability (G.1.7...)":
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On convergence of the penalty method for unilateral contact problems
Chouly F., Hild P. Applied Numerical Mathematics 6527-40, 2013. Type: Article
Chouly and Hild consider the contact problem of an elastic 2D and 3D body. Small strains are assumed and the contact is a straight line segment in 2D and a polygon in 3D. They reformulate the variational inequality using the penalty me...
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Aug 9 2013 |
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Fourth-order Runge-Kutta schemes for fluid mechanics applications
Carpenter M., Kennedy C., Bijl H., Viken S., Vatsa V. Journal of Scientific Computing 25(1): 157-194, 2005. Type: Article
In the numerical solution of stiff problems, especially those constructed by space discretization of partial differential equations of fluid mechanics, several factors have to be taken into account. Order of accuracy is clearly one of ...
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Aug 9 2006 |
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A note on convergence concepts for stiff problems
Auzinger W., Frank R., Kirlinger G. Computing 44(3): 197-208, 1990. Type: Article
Fundamental to any discussion of the numerical solution of an initial value problem for a system of ordinary differential equations is the stability of the problem itself. The classical approach supposes that the function defining the ...
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Jan 1 1991 |
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Order barriers for the B-convergence of ROW methods
Scholz S. Computing 41(3): 219-235, 1989. Type: Article
The well-known work of Prothero and Robinson [1] demonstrates that the conventional order of accuracy of some A-stable implicit Runge-Kutta methods decreases when applied to a stiff problem in the class y′=&lgr;(
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Jun 1 1990 |
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Pattern formation and chaos in networks
Pickover C. (ed) Communications of the ACM 31(2): 136-151, 1988. Type: Article
Chaos theory involves the study of how perturbations in initial conditions can result in complicated behavior. Some examples of chaotic behavior are weather patterns, certain electrical networks, cardiac activity, and turbulent flow sy...
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Apr 1 1989 |
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Sets of convergence and stability regions
Miekkala U., Nevanlinna O. BIT 27(4): 554-584, 1987. Type: Article
This is an interesting paper. The authors continue their study of the convergence of dynamic iteration methods for large systems of initial value problems. They consider the initial value problem &xdot; + A x = f , x ( 0 )...
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Aug 1 1988 |
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A study of B-convergence of Runge-Kutta methods
Burrage K., Hundsdorfer W., Verwer J. Computing 36(1-2): 17-34, 1986. Type: Article
In the design of algorithms for the solution of stiff ordinary differential equation systems, high order Runge-Kutta methods seem to be attractive choices. However, it is now known that for many of these methods the order of accuracy t...
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Feb 1 1987 |
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The order of B-convergence of the Gaussian Runge-Kutta method
Dekker K., Kraaijevanger J., Spijker M. Computing 36(1-2): 35-41, 1986. Type: Article
The classical order of convergence for a Gaussian m-stage Runge-Kutta method for solving systems of ODEs is 2m. The concept of exact order of a Gaussian m-stage Runge-Kutta method is introduced, and it is shown tha...
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Dec 1 1986 |
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