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Section: apm
Analysis of Difference Schemes of Two-Point Boundary Value Problems using the Method of Moving Nodes
by Dalabaev Umurdin and Khasanova Dilfuza
Journal of Engineering Research and Sciences, Volume 4, Issue 6, Page # 9-15, 2025; DOI: 10.55708/js0406002
Abstract: This article addresses the calculation of approximation errors in numerical methods for solving differential equations. A fundamental challenge when replacing differential equations with discrete representations is ensuring that the discrete solution closely approximates the exact solution. To tackle this, a grid area is established for the difference solution, with discrete solutions evaluated at specific nodal… Read More
(This article belongs to the Special Issue on Special Issue on Multidisciplinary Sciences and Advanced Technology (SI-MSAT 2025) and the Section Applied Mathematics (APM))
Machine-Learning based Decoding of Surface Code Syndromes in Quantum Error Correction
by Debasmita Bhoumik, Pinaki Sen, Ritajit Majumdar, Susmita Sur-Kolay, Latesh Kumar KJ and Sundaraja Sitharama Iyengar
Journal of Engineering Research and Sciences, Volume 1, Issue 6, Page # 21-35, 2022; DOI: 10.55708/js0106004
Abstract: Errors in surface code have typically been decoded by Minimum Weight Perfect Matching (MWPM) bas -based Machine Learning (ML) techniques have been employed for this purpose, although how an ML decoder will behave in a more realistic asymmetric noise model has not been studied. In this article we (i) establish a methodology to formulate the… Read More
(This article belongs to the Special Issue on Special Issue on Multidisciplinary Sciences and Advanced Technology (SI-MSAT 2022) and the Section Applied Mathematics (APM))
Physical Interpretation of the Solution to the Problem of Diffraction on a Half-plane with Non-Ideal Boundary Conditions
by Michael Vesnik
Journal of Engineering Research and Sciences, Volume 1, Issue 3, Page # 52-58, 2022; DOI: 10.55708/js0103006
Abstract: The recently proposed method of fundamental components is employed to develop a technique for obtaining a heuristic solution to the problem of diffraction on a half-plane with non-ideal boundary conditions. The difference between the new method and traditional heuristic approaches, such as the geometric theory of diffraction and the method of edge waves, is the… Read More
(This article belongs to the Special Issue on Special Issue on Multidisciplinary Sciences and Advanced Technology (SI-MSAT 2022) and the Section Applied Mathematics (APM))