Index-2 hybrid DAE: a case study with well-posedness and numerical analysis

Towards Integrating Hybrid DAEs with a High-Index DAE Solver

J.D. Pryce and N.S. Nedialkov have developed a Taylor series method and a C++ package, Daets, for solving numerically an initial-value problem differential-algebraic equation (DAE) that can be of high index, high order, nonlinear, and fully implicit. Numerical results have shown this method to be efficient and very accurate, and particularly suitable for problems that are of too high an index f...

Well-posedness of Hybrid Systems

Well-posedness for General 2

We consider the Cauchy problem for a strictly hyperbolic 2 2 system of conservation laws in one space dimension u t + F (u)] x = 0; u(0; x) = u(x); (1) which is neither linearly degenerate nor genuinely non-linear. We make the following assumption on the characteristic elds. If r i (u); i = 1; 2; denotes the i-th right eigenvector of DF (u) and i (u) the corresponding eigenvalue, then the set f...

esp needs analysis of iranian ma students: a case study of university of isfahan

نیاز سنجی دانشجویان کارشناسی ارشد ایرانی در رابطه با زبان تخصصی: مطالعه ای در دانشگاه اصفهان هدف از این مطالعه بررسی نیازهای یادگیری زبان خارجی دانشجویان کارشناسی ارشد دانشجویان دانشگاه اصفهان در رشته های زیست شناسی، روانشناسی، تربیت بدنی، حسابداری و فلسفه ی غرب میباشد. در مجموع 80 دانشجودر پنج رشته ی متفاوت از دانشگاه اصفهان در این پژوهش شرکت داشتند.علاوه بر این هشتاد دانشجو،25 استاد دروس ت...

Multiscale Modeling in Micromagnetics: Well-Posedness and Numerical Integration

Various applications ranging from spintronic devices, giant magnetoresistance (GMR) sensors, and magnetic storage devices, include magnetic parts on very different length scales. Since the consideration of the Landau-Lifshitz-Gilbert equation (LLG) constrains the maximum element size to the exchange length within the media, it is numerically not attractive to simulate macroscopic parts with thi...