Solving fully interval linear systems of equations using tolerable solution criteria
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DOI: 10.1007/s00500-017-2668-6
Abstract: A new method has been proposed here for solving fully interval linear systems of equations where both coefficient matrix and the right-hand side vector are intervals. In this method, center solution has been used with… read more here.
Keywords: fully interval; solving fully; systems equations; solution ... See more keywords
An APOS analysis of solving systems of equations using the inverse matrix method
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DOI: 10.1007/s10649-020-09935-6
Abstract: The concept of determinant plays a central role in many linear algebra concepts and is also applied to other branches of mathematics and science. In this study, we focus on the application of determinant and… read more here.
Keywords: equations using; mathematics; solving systems; systems equations ... See more keywords
Triangular Decomposition of CP Factors of a Third-Order Tensor with Application to Solving Nonlinear Systems of Equations
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DOI: 10.1007/s10915-021-01758-8
Abstract: In this paper, we focus on multi-linear systems of equations with a third-order CP-decomposed coefficient tensor, applying the LU decomposition on its factor matrices, a more easily solvable system is obtained. Also, a result on… read more here.
Keywords: nonlinear systems; systems equations; solving nonlinear; third order ... See more keywords
Problem with Free Boundary for Systems of Equations of Reaction-Diffusion Type
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DOI: 10.1007/s11253-018-1481-4
Abstract: We consider a problem with free boundary for systems of quasilinear parabolic equations. A part of the boundary conditions is given in the nonlocal form. The a priori estimates of the Hölder norms are established.… read more here.
Keywords: equations reaction; systems equations; problem free; boundary systems ... See more keywords
SIR - An efficient solver for systems of equations
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DOI: 10.1016/j.softx.2018.01.003
Abstract: The Semi-Implicit Root solver (SIR) is an iterative method for globally convergent solution of systems of nonlinear equations. Since publication, SIR has proven robustness for a great variety of problems. We here present MATLAB and… read more here.
Keywords: systems equations; efficient solver; sir efficient; solver systems ... See more keywords
Liouville type results for systems of equations involving fractional Laplacian in exterior domains
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DOI: 10.1088/1361-6544/ab091b
Abstract: In this article we present a simple and unified probabilistic approach to prove nonexistence of positive super-solutions for systems of equations involving potential terms and the fractional Laplacian in an exterior domain. Such problems arise… read more here.
Keywords: fractional laplacian; systems equations; laplacian exterior; liouville type ... See more keywords
Entropy Correct Spatial Discretizations for 1D Regularized Systems of Equations for Gas Mixture Dynamics
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DOI: 10.3390/sym14102171
Abstract: One-dimensional regularized systems of equations for the general (multi-velocity and multi-temperature) and one-velocity and one-temperature compressible multicomponent gas mixture dynamics are considered in the absence of chemical reactions. Two types of the regularization are taken.… read more here.
Keywords: gas; mixture; regularized systems; gas mixture ... See more keywords