Journal of Electrochemical Science and Engineering, 2016 The key property of Frost diagram has been confirmed using thermodynamic and linear algebra methods. On the basis of the thermodynamic data, the areas of thermodynamic stability of ruthenium chemical species in different valence states as a function of ...
Igor Povar, Oxana Spinu
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A possible framework of the Lipkin model obeying the su(n)-algebra in arbitrary fermion number. II --- Two subalgebras in the su(n)-Lipkin model and an approach to the construction of linearly independent basis --- [PDF]
, 2016 Y. Tsue +3 more
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Attribute Implication Bases From Galois Connection Structures
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Modeling knowledge systems by determining relationships among key variables have been and currently is a fundamental and nontrivial challenge in real‐world scenarios. Many approaches have been developed to reach this goal, but many of them are heuristic and require of alternative procedures to provide robust and tractable rules.
M. Eugenia Cornejo +2 more
wiley +1 more source
Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations
Symmetry, Integrability and Geometry: Methods and Applications, 2006 In this paper we present an algorithmic approach to the generation of fully conservative difference schemes for linear partial differential equations. The approach is based on enlargement of the equations in their integral conservation law form by extra ...
Vladimir P. Gerdt +2 more
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Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
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Subsymmetric Polynomials on Banach Spaces and Their Applications
MathematicsWe investigate algebraic and topological properties of subsymmetric polynomials on finite- and infinite-dimensional spaces. In particular, we focus on the problem of the existence of an algebraic basis in the algebra of subsymmetric polynomials, as well ...
Vitalii Bihun +3 more
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Procepts and proceptual solutions in undergraduate mathematics
Pythagoras, 2010 This paper explores and promotes the notion of ‘procept’ in an undergraduate mathematics course in Linear Algebra for first year pure and engineering students.
Inderasan Naidoo, Belinda Huntley
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A possible framework of the Lipkin model obeying the SU(n) algebra in arbitrary fermion number. II: Two subalgebras in the SU(n) Lipkin model and an approach to the construction of a linearly independent basis [PDF]
, 2016 Y. Tsue +3 more
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao +3 more
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Geometrically nonlinear static analysis of materially imperfect composite doubly curved shells is investigated via the generalised differential quadrature method. The effects of both shear and thickness deformation are considered through a thickness‐ and shear‐deformable third‐order theory formulated in curvilinear coordinates, while the ...
Behrouz Karami +3 more
wiley +1 more source