Approximation methods for the Muskhelishvili equation on smooth curves

Approximation methods for the Muskhelishvili equation on smooth curves

We investigate the possibility of applying approximation methods to the famous Muskhelishvili equation on a simple closed smooth curve Γ. Since the corresponding integral operator is not invertible the initial equation has to be corrected in a special way. It is shown that the spline Galerkin, spline collocation and spline qualocation methods for the corrected equation are stable, and the corre...

Approximation Methods for Algebraic Curves and Surfaces

On the Stability of the Nyström Method for the Muskhelishvili Equation on Contours with Corners

The stability of the Nyström method for the Muskhelishvili equation on piecewise smooth simple contours Γ is studied. It is shown that in the space L2 the method is stable if and only if certain operators Aτj from an algebra of Toeplitz operators are invertible. The operators Aτj depend on the parameters of the equation considered, on the opening angles θj of the corner points τj ∈ Γ and on par...

the effects of error correction methods on pronunciation accuracy

هدف از انجام این تحقیق مشخص کردن موثرترین متد اصلاح خطا بر روی دقت آهنگ و تاکید تلفظ کلمه در زبان انگلیسی بود. این تحقیق با پیاده کردن چهار متد ارائه اصلاح خطا در چهار گروه، سه گروه آزمایشی و یک گروه تحت کنترل، انجام شد که گروه های فوق الذکر شامل دانشجویان سطح بالای متوسط کتاب اول passages بودند. گروه اول شامل 15، دوم 14، سوم 15 و آخرین 16 دانشجو بودند. دوره مربوطه به مدت 10 هفته ادامه یافت و د...

on the status of mixed methods research in applied linguistics

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