New Irregular Solutions in the Spatially Distributed Fermi–Pasta–Ulam Problem

Irregular Solutions of an Ill-Posed Problem

Tikhonov regularization is a popular and effective method for the approximate solution of illposed problems, including Fredholm equations of the first kind. The Tikhonov method works well when the solution of the equation is well-behaved, but fails for solutions with irregularities, such as jump discontinuities. In this paper we develop a method that overcomes the limitations of the standard Ti...

Distributed Systems Principles and Paradigms Problem Solutions

New Solutions to the Hierarchy Problem

The Standard Model (SM) is a very successful description of particle physics up to the weak scale. It agrees with all the experimental data we have our disposal today. However, it has several shortcomings. We do not know the origin of the fermion masses, which in the SM arise from the Yukawa interactions with the Higgs doublet. These are extremely varied, with a Yukawa coupling for the top of o...

the problem of divine hiddenness

این رساله به مساله احتجاب الهی و مشکلات برهان مبتنی بر این مساله میپردازد. مساله احتجاب الهی مساله ای به قدمت ادیان است که به طور خاصی در مورد ادیان ابراهیمی اهمیت پیدا میکند. در ادیان ابراهیمی با توجه به تعالی خداوند و در عین حال خالقیت و حضور او و سخن گفتن و ارتباط شهودی او با بعضی از انسانهای ساکن زمین مساله ای پدید میاید با پرسشهایی از قبیل اینکه چرا ارتباط مستقیم ویا حداقل ارتباط وافی به ب...

Distributed Irregular Finite Elements

DIME is a programming environment for manipulation of irregular triangular meshes with a distributed memory machine. We have added a software layer DIMEFEM which manipulates Finite Element representations of functions and allows the stating and solving of variational statements. An application of DIMEFEM is an incompressible Navier-Stokes solver with a three-stage implicit time step, using quas...