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Behavioral Sciences, 2022 Computer-based testing is an emerging method to evaluate students’ mathematics learning outcomes. However, algebra problems impose a high cognitive load due to requiring multiple calculation steps, which might reduce students’ performance in computer ...
Jing-Fong Wang +2 more
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Parallel multigrid method for solving inverse problems
MethodsX, 2022 We considered in this work the linear operator equation and used the Landweber iterative method as an iterative solver. After that, we used the multigrid method as an optimization method for obtaining an approximation solution with a highly accurate and ...
H.K. Al-Mahdawi +5 more
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Symbolic Computation Applied to Cauchy Type Singular Integrals
Mathematical and Computational Applications, 2021 The development of operator theory is stimulated by the need to solve problems emerging from several fields in mathematics and physics. At the present time, this theory has wide applications in the study of non-linear differential equations, in linear ...
Ana C. Conceição, Jéssica C. Pires
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On Matrices with Only One Non-SDD Row
Mathematics, 2023 The class of H-matrices, also known as Generalized Diagonally Dominant (GDD) matrices, plays an important role in many areas of applied linear algebra, as well as in a wide range of applications, such as in dynamical analysis of complex networks that ...
Ksenija Doroslovački +1 more
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PyLops—A linear-operator Python library for scalable algebra and optimization
SoftwareX, 2020 Linear operators and optimization are at the core of many algorithms used in signal and image processing, remote sensing, and inverse problems. For small to medium-scale problems, existing software packages (e.g., MATLAB, Python NumPy and SciPy) allow to
Matteo Ravasi, Ivan Vasconcelos
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Multiparameter Inversion: Cramer's Rule for Pseudodifferential Operators
International Journal of Geophysics, 2011 Linearized multiparameter inversion is a model-driven variant of amplitude-versus-offset analysis, which seeks to separately account for the influences of several model parameters on the seismic response.
Rami Nammour, William W. Symes
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Journal of Geodetic Science, 2013 Array algebra of photogrammetry and geodesy unified multi-linear matrix and tensor operators in an expansion of Gaussian adjustment calculus to general matrix inverses and solutions of inverse problems to find all, or some optimal, parametric solutions ...
Rauhala U. A.
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AxiomsThe approach to solving linear systems with structured matrices by means of the bidiagonal factorization of the inverse of the coefficient matrix is first considered in this review article, the starting point being the classical Björck–Pereyra algorithms
José-Javier Martínez
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Exploring parameter dependence of atomic minima with implicit differentiation
npj Computational MaterialsInteratomic potentials are essential to go beyond ab initio size limitations, but simulation results depend sensitively on potential parameters. Forward propagation of parameter variation is key for uncertainty quantification, whilst backpropagation has ...
Ivan Maliyov +2 more
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BuildingsIn the present paper, a modified Fourier series approach is developed for new precise flexural analysis of three different types of concrete plates in a rectangular sewage tank.
Guangxi Sun +5 more
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