The Approximation of Weighted Hölder Functions by Fourier-Jacobi Polynomials to the Singular Sturm-Liouville Operator [PDF]
, 2022 تم مناقشة دوال هولدر المرجحة التي تحقق تقارب متعددات حدود جاكوبي لمعادلة ستورم- ليوفيل المنفردة من الدرجة الثانية. هذا يتوافق مع تحويلات جاكوبي المعممة ومعايير النعومة.
Kamil, Ahmed H. +2 more
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Numerical Approach to Estimate the Error of Ill-Posed Problems [PDF]
, 2016 Сидикова Анна Ивановна, канд. физ.-мат. наук, доцент кафедры вычислительной математики, Южно-Уральский государственный университет, г. Челябинск; 7413604@mail.ru. A.I.
Sidikova, A.I., Сидикова, А.И.
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Geometric approach to the Moore-Penrose inverse and the polar decomposition of perturbations by operator ideals [PDF]
, 2023 We study the Moore-Penrose inverse of perturbations by a symmetrically-normed ideal of a closed range operator on a Hilbert space. We show that the notion of essential codimension of projections gives a characterization of subsets of such perturbations ...
Chiumiento, Eduardo, Massey, Pedro
core +1 more source
Continuous and monotone machines [PDF]
, 2020 We investigate a variant of the fuel-based approach to modeling diverging computation in type theories and use it to abstractly capture the essence of oracle Turing machines. The resulting objects we call continuous machines. We prove that it is possible
Steinberg, Florian +2 more
core +1 more source
Численный подход к оценке погрешности некорректных задач [PDF]
, 2016 The modulus of continuity of the inverse operator leads to minimization of nonconvex functions. In practice, the modulus of continuity can be calculated for a very narrow class of problems.
Сидикова, Анна Ивановна
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CLUSTERING EFFECT FOR STATIONARY POINTS OF DISCREPANCY FUNCTIONAL IN CONDITIONALLY WELL-POSED INVERSE PROBLEMS [PDF]
, 2020 194-196Устанавливается, что стационарные точки конечномерного функционала невязки условно корректной обратной задачи, имеющей гельдерову оценку модуля непрерыв- ности обратного оператора, располагаются вблизи искомого решения обратной за- дачи.We prove ...
Кокурин Михаил Юрьевич
core
Geometric approach to the Moore–Penrose inverse and the polar decomposition of perturbations by operator ideals [PDF]
We study the Moore-Penrose inverse of perturbations by a symmetrically-normed ideal of a closed range operator on a Hilbert space. We show that the notion of essential codimension of projections gives a characterization of subsets of such perturbations ...
Massey, Pedro Gustavo +1 more
core +1 more source
Direct and Inverse Theorems in the Theory of Approximation by the Ritz Method [PDF]
, 2005 Для довільного самоспряженого оператора B у гільбертовому просторі Y наведено прямі й обернені теореми, що встановлюють зв'язок між степенем гладкості вектора X∈Y відносно оператора B, порядком прямування до нуля його найкращого наближення цілими ...
Горбачук, М.Л. +2 more
core +3 more sources
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Advanced Engineering Materials, EarlyView.A two‐dimensional multiscale finite element analysis framework was established for the first‐generation MoSiBTiC alloy, and the mechanical and fracture‐related parameters of the constituent phases were calibrated through experiments and simulations. The framework provides a basis for analyzing crack propagation behavior in its complex microstructure ...
Junfeng Du +4 more
wiley +1 more source