Based on reasonable testing model problems, we study the preservation by symplectic Runge-Kutta method (SRK) and symplectic partitioned Runge-Kutta method (SPRK) of structures for fixed points of linear Hamiltonian systems. The structure-preservation region provides a practical criterion for choosing step-size in symplectic computation. Examples are given to justify the investigation.

استخراج فوق بحرانی یکی از جدیدترین روش­های خالص­سازی مواد اولیه و محصولات که امروزه مورد استقبال قرار گرفته است. در این مطالعه از معادلات حالت prsv و srk برای تخمین حلالیت 10 ماده جامد رایج در دی­اکسیدکربن فوق بحرانی استفاده شده است. نتایج شبیه­سازی نشان داد معادله prsv تطابق بهتری با داده­های تجربی دارد. هر دو معادله برای پیش­بینی حلالیت جامدات نیاز به پارامتر برهم­کنش دوتایی داشتند. همچنین پا...

Student’s Right-to-Know (SRK) in teaching includes student’s rights to know about the learning objectives, processes, procedures, university facilities and services, educational ethical requirements of higher education institutes. However, as far review associated studies, Chinese undergraduate students’ perceptions consequences SRK its importance have yet be well explored. Therefore,this quali...

BACKGROUND The SRK/T formula is one of the third generation IOL calculation formulas. The purpose of this study was to evaluate the performance of the SRK/T formula in predicting a target refraction ±1.0D in short and long eyes using ultrasound biometry after phacoemulsification. METHODS The present study was a retrospective analysis, which included 38 eyes with an AL < 22.0 mm (short AL), an...

preprint numerics no. 4/2007 norwegian university of science and technology trondheim, norway Abstract. In the last years, implicit SRK methods have been developed both for strong and weak approximation. For these methods, the stage values are only given implicitly. However, in practice these implicit equations are solved by iterative schemes like simple iteration, modified Newton iteration or ...

1 Stanford University, Department of Management Science and Engineering, Terman Engineering Center, 3rd Floor, Stanford CA 94305 [email protected] 2 Stanford University, Department of Computer Science, 353 Serra Mall, Stanford CA 94305 {plummer, srk}@cs.stanford.edu 3 Stanford University, Department of Mechanical Engineering, Building 530, 440 Escondido Mall, Stanford CA 94305 ozgur@stanfo...

We define a new large cardinal axiom that fits between A3 and A4 in the hierarchy of axioms described in [SRK]. We use this new axiom to obtain a Laver sequence for extendible cardinals, improving the known large cardinal upper bound for the existence of such sequences.