TitleA Survey on the Performance of Krylov Subspace Methods in High Order Compact Schemes for Solving Poisson’s Equation for Application in Incompressible Fluid Flow Solvers AffiliationsIman Farahbakhsh1 · Benyamin Barani Nia1. Mehdi Dehghan21 Department of Maritime Engineering, Amirkabir University of Technology, Tehran, Iran.2 Department of Applied Mathematics, Faculty of Mathematics andComputer Sciences, Amirkabir University of Technology (TehranPolytechnic), Tehran, Iran. AbstractThe efficiency of three Krylov subspace methods with their ILU0- preconditioned version in solving the systems with the nonadiagonal sparse matrix is examined. The systems have arisen from the discretization of Poisson’s equation using the 4th and 6th-order compact schemes. Four matrix-vector multiplication techniques based on four …

Food Delivery and Management Platform Development: ‘CMCSELF’My friend and I developed a food delivery and management platform for the Coastal Marine Campus of Amirkabir University of Technology. The system includes a web platform and a bot named CMCSELF to streamline food services on campus. We built the platform using PHP, HTML, CSS, JavaScript, and APIs and integrated a bot for enhanced user interaction and order management.Start Date: 06/01/2024 | Current

TitleFEGC 1.0: Flow Energy Gradient Calculator as a toolbox for predicting fluidflow instability initiation locus AffiliationsIman Farahbakhsh1 · Benyamin Barani Nia21 Department of Maritime Engineering, Amirkabir University of Technology, Tehran, Iran. AbstractThe Flow Energy Gradient Calculator (FEGC) is a Fortran-based tool designed to analyze fluid instability by calculating the energy gradient ratio, offering insights into flow stability and identifying loci for instability initiation and chaos. FEGC 1.0 provides a robust algorithm for detailed energy gradient analysis in fluid dynamics, particularly in two-dimensional fields. However, it faces challenges such as limited scalability, lack of a graphical user interface (GUI), and restricted integration with other tools. Future developments …

TitleEquivalent Conditions with Left Boolean Lifting Property in Pseudo BL–Algebras AffiliationsBagher Barani Nia1 · Benyamin Barani Nia21 Department of Mathematics, Statistics and Computer Science, Islamic Azad University, Minab, Iran.2 Department of Maritime Engineering, Amirkabir University of Technology, Tehran, Iran. AbstractIn this paper, we study pseudo BL – algebras with Left Boolean Lifting Property (LBLP). We show that Quasi local and local that have equivalent conditions LBLP and has an interesting behavior in direct products. LBLP provides an important representation theorem for semi local and local pseudo BL – algebra. Download

TitleChoosing an efficient conjugate gradient-based method to solve the dense systems of equations arising from the boundary element method AffiliationsIman Farahbakhsh1 · Benyamin Barani Nia11 Department of Maritime Engineering, Amirkabir University of Technology, Tehran, Iran AbstractSolving the linear system of equations with nonsymmetric, dense, and typically ill-conditioned matrices can be considered a critical subject in BEM. Applying direct methods like Gauss elimination, Gauss-Jordan, and LU decomposition will be computationally expensive for the large-scale system of equations, and a rule of thumb shows that iterative methods are efficient. The present study considers the numerical solution of the Laplace equation with various boundary conditions. The numerical investigations on some …

“I was delighted too when I heard about the Nobel Prize, thinking as you did that my bongo playing was at last recognised.” Physics laureate Richard Feynman was known for being a brilliant mind, a great explainer and – who can forget – an enthusiastic bongo player. Source: The Nobel Prize’s Page on Linkedln

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Book 001 | Algebra | 2024

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