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Teaching and learning iterative methods for solving linear systems using symbolic and numeric software [PDF]
Computer Applications in Engineering Education, 2002 AbstractAn integral approach is presented to strengthen the teaching and learning processes in the environment of the undergraduate course Numerical Analysis (NA) for engineering, examining tha advantages of combining the symbolic and numeric paradigms.
E. A. Cariaga, M. C. Nualart
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Extended accelerated overrelaxation iteration techniques in solving heat distribution problems [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 Several stationary iteration techniques for numerical solutions to special systems of linear equation systems of the form 𝒜𝑢 = 𝑏 have been studied in an attempt to improve their convergence, suitability, and strength.
Khadeejah James Audu
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NUMERICAL COMPARISON OF RUNGE-KUTTA (RK5) AND NEW ITERATIVE METHOD (NIM) FOR SOLVING METASTATIC CANCER MODEL [PDF]
Malaysian Journal of Computing, 2021 This paper attempts to present and employ Runge-Kutta Method of fifth-order (RK5) and New Iterative Method for the numerical solution of metastatic cancer model which occur in two compartments of cancer environment.
Falade Kazeem Iyanda +2 more
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IEEE Access, 2021 Solving non-linear equation is perhaps one of the most difficult problems in all of numerical computations, especially in a diverse range of engineering applications.
Amir Naseem +2 more
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A Data-Driven Parameter Prediction Method for HSS-Type Methods
Mathematics, 2022 Some matrix-splitting iterative methods for solving systems of linear equations contain parameters that need to be specified in advance, and the choice of these parameters directly affects the efficiency of the corresponding iterative methods. This paper
Kai Jiang, Jianghao Su, Juan Zhang
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Applied Mathematics in Science and Engineering, 2022 In this research, we suggested a numerical iterative scheme for investigating the numerical solution of fuzzy linear and nonlinear systems of equations, particularly where the linear or nonlinear system co-efficient is a crisp number and the right-hand ...
Mudassir Shams +4 more
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Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations [PDF]
Numerische Mathematik, 1991 The authors discuss certain block matrices that are natural block- generalizations of \(Z\)-matrices and \(M\)-matrices and arise in the numerical solution of Euler equations in the area of computational fluid mechanics. They investigate the properties of such matrices and, in particular, give a proof for the convergence of block iterative methods for ...
Elsner, Ludwig, Mehrmann, Volker
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Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro-differential equations [PDF]
Advances in Difference Equations, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Narayanamoorthy, S. Mathankumar
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Constrained Output Iterative Learning Control [PDF]
Archives of Control Sciences, 2020 Iterative Learning Control (ILC) is a well-known method for control of systems performing repetitive jobs with high precision. This paper presents Constrained Output ILC (COILC) for non-linear state space constrained systems.
Kaloyan, Yovchev +2 more
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XAMG: A library for solving linear systems with multiple right-hand side vectors
SoftwareX, 2021 This paper presents the XAMG library for solving large sparse systems of linear algebraic equations with multiple right-hand side vectors. The library specializes, but is not limited, to the solution of linear systems obtained from the discretization of ...
Boris Krasnopolsky, Alexey Medvedev
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