Titlebook: Analysis and Applied Mathematics; Extended Abstracts o Allaberen Ashyralyev,Michael Ruzhansky,Makhmud A. Conference proceedings 2024 The E

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Spinal-Fusion

2297-0215 re peer-reviewed. The volume reflects the latest developments in the area of analysis and applied mathematics and their interdisciplinary applications..978-3-031-62670-8978-3-031-62668-5Series ISSN 2297-0215 Series E-ISSN 2297-024X

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Necessary and Sufficient Conditions for Basis Properties of the System of Root Functions of Sturm-Licient conditions for minimality and completeness of the chosen system of root functions of the corresponding operator are given in two forms, one of which can be done by direct computations. This computationally simpler way was discussed in the literature for the affine case. But for the quadratic c

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A Numerical Algorithm for the Third Order Delay Partial Differential Equation with Robin Boundary Co The first order of accuracy difference scheme for the numerical solution of the third order delay partial differential equation with Robin boundary condition is presented. The illustrative numerical results are provided.

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Recessive

Regularization Methods for Solving Inverse Problems: A Comprehensive Reviewonducts a comprehensive review of regularization methods aimed at stabilizing solutions to inverse problems. Focusing on techniques such as Tikhonov regularization, machine learning-based regularization, and Bayesian regularization, we explore their mathematical foundations, numerical implementation

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The Application of Spectral Resolution of a Self-Adjoint Operator to Approximate Elliptic Source Idece scheme (DS) is proposed. Stability inequalities for solution of DS are established. Primarily DS is converted to auxiliary difference problem with some non local condition. Uniqueness and existence solution of DS is achieved by applying spectral resolution of a self-adjoint operator. Later, obtai

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