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...
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...
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...
"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...
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 ...