In this article we discuss a combination between fourth-order finite difference methods and fourth-order splitting methods for 2D parabolic problems with mixed derivatives. The finite difference methods are based on higher-order spatial discretization methods, whereas the timediscretization methods are higher-order discretizations using CrankNicolson or BDF methods. The splitting methods are hi...

A novel bit-detect-and-forward (BDF) relaying scheme based on repetition coding with the relay is proposed, significantly improving the robustness to impairments proper to free-space optical (FSO) communications such as unsuitable alignment between transmitter and receiver as well as fluctuations in the irradiance of the transmitted optical beam due to the atmospheric turbulence. Closed-form as...

In this paper, we present a numerical method for solving nonlinear differential algebraic equations (DAE’s) based on the backward differential formulas (BDF) and the Pade series. Usefulness of the method is then illustrated by a numerical example, which is concerned with the derivation of the optimal guidance law for spacecraft. This kind of problems is called trajectory-prescribed path control...

Both the porous medium equation and the system of isentropic Euler equations can be considered as steepest descents on suitable manifolds of probability measures in the framework of optimal transport theory. By discretizing these variational characterizations instead of the partial differential equations themselves, we obtain new schemes with remarkable stability properties. We show that they c...

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هدف: پژوهش حاضر با هدف تعیین نقش تعاملی خود­شفقت ­ورزی زوجین در تنظیم شناختی هیجان خود و همسر به روش مدل­سازی وابستگی متقابل عامل-شریک انجام شد. روش: از نوع توصیفی_همبستگی مدل­ یابی معادلات ساختاری بود. جامعه آماری شامل کلیه ساکن شهر تهران سال 1399 بود که بین آن‌ها 167 زوج (334 شرکت ­کننده) نمونه­ گیری دردسترس ­عنوان نمونه انتخاب برای گرداوری داده­ ها پرسشنامه راهبردهای تنظیم­ هیجان_فرم کوتاه گ...