Stefan problem with kinetics is reduced to a system of nonlinear Volterra integral equations of second kind and Newton's method is applied to linearize it. Product integration solution of the linear form is found and sufficient conditions for convergence of the numerical method are given. An example is provided to illustrated the applicability of the method.

We would like to thank Brian Kantor, Jim Madden, and Pat Wilson of UCSD for technical support of the Network Telescope project; Mike Gannis, Nicholas Weaver, Wendy Garvin, Team Cymru, and Stefan Savage for feedback on this document; and the Cisco PSIRT Team, Wendy Garvin, Team Cymru, Nicholas Weaver, and Vern Paxson for discussion as events unfolded. Support for this work was provided by Cisco ...

Several years ago, Stefan Pokorski, Manfred Münz and us outlined a program for calculation of the NLO QCD corrections to the weak radiative B̄ meson decay B̄ → Xsγ. Very recently, just before the 60th birthday of Stefan Pokorski, this program has been formally completed. In the present paper, we summarize the existing results and discuss perspectives for further improvement of the accuracy of the...

We study steady states of Stefan-type problems in the plane with the Gibbs-Thomson correction involving general anisotropic energy density function. By a local analysis we prove the global result showing that the solution is the Wulff shape. The key element is a stability result which enables us to approximate singular models by regulars ones. keywords: Stefan-type problems, singular interfacia...

It is with great sadness that we announce the passing of Professor Stefan H. Mackiewicz on September 28, 2017. Professor Stefan Mackiewicz was an outstanding Polish rheumatologist. He was a graduate of the Medical University of Poznan. After graduation he worked at the Third Department of Internal Medicine in Poznan. In 1967 he became the Chairman of the Department of Rheumatology and Immunolog...

We consider a stochastic perturbation of the Stefan problem. The noise is Brownian in time and smoothly correlated in space. We prove existence and uniqueness and characterize the domain of existence.