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Jump splicing schemes for elliptic interface problems and the incompressible Navier-Stokes equations
Autor:
Preskill, Ben, Sethian, James A.
We present a general framework for accurately evaluating finite difference operators in the presence of known discontinuities across an interface. Using these techniques, we develop simple-to-implement, second-order accurate methods for elliptic prob
Externí odkaz:
http://arxiv.org/abs/1612.09342
Autor:
Preskill, Ben
Publikováno v:
HMC Senior Theses.
We prove two results; first, we show that a boundary value problem for the semilinear wave equation with smooth, asymptotically linear nonlinearity and sinusoidal smooth forcing along a characteristic cannot have a continuous solution. Thereafter, we
Externí odkaz:
https://scholarship.claremont.edu/hmc_theses/222
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1225&context=hmc_theses
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1225&context=hmc_theses
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