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» Periodic solutions for second order differential equations
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FOCM
2010
100views more  FOCM 2010»
14 years 10 months ago
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series
We show how B-series may be used to derive in a systematic way the analytical expressions of the high-order stroboscopic averaged equations that approximate the slow dynamics of h...
P. Chartier, A. Murua, J. M. Sanz-Serna
AMC
2010
84views more  AMC 2010»
14 years 6 months ago
Fluctuations in a SIS epidemic model with variable size population
In an epidemiological model, time spent in one compartment is often modeled by a delay in the model. In general the presence of delay in differential equations can change the stab...
Abderrhaman Iggidr, K. Niri, E. Ould Moulay Ely
IPPS
2007
IEEE
15 years 6 months ago
Speedup using Flowpaths for a Finite Difference Solution of a 3D Parabolic PDE
Partial differential equations (PDEs) are used to model physical phenomena and then appropriate convergent numerical algorithms are employed to solve them and create computer simu...
Darrin M. Hanna, Anna M. Spagnuolo, Michael DuChen...

Publication
445views
16 years 8 months ago
Computational Study of Fast Methods For The Eikonal Equation
"A computational study of the Fast Marching and the Fast Sweeping methods for the Eikonal equation is given. It is shown that even though Fast Sweeping requires asymptotically...
Pierre A. Gremaud and Christopher M. Kuster
JSC
2006
81views more  JSC 2006»
14 years 11 months ago
Complexity bounds for zero-test algorithms
In this paper, we analyze the complexity of a zero test for expressions built from formal power series solutions of first order differential equations with non degenerate initial ...
Joris van der Hoeven, John Shackell