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Thermal analysis of ternary hybrid nanofluids for advanced cooling of AI chips and data centers using dual numerical techniques. [PDF]

Discov Nano
Akindele AO, Ogunsola AW, Oladapo OA, Ohaegbue AD.   +3 more
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Linearly Implicit Finite Element Methods Approximating the Solution to the Nonlinear Schrödinger Equation with a Schamel-Type Nonlinearity. [PDF]

J Sci Comput
Paraschis P, Zouraris GE.
europepmc   +1 more source

Tuning Spectral Properties of Anthracenes through Substitution. [PDF]

ACS Phys Chem Au
Ratheesh V, Weidlich AM, Dreuw A.
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Information-Based Symbolic Regression of Local Closures for RANS Transition Modeling

Capel-Jorquera J, Cardesa JI, Chávez-Módena M, Valero E, González LM.   +4 more
europepmc   +1 more source

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The Sparse Basis Problem and Multilinear Algebra

SIAM Journal on Matrix Analysis and Applications, 1995
Let A be a $k \times n$ underdetermined matrix. The sparse basis problem for the row space W of A is to find a basis of W with the fewest number of nonzeros. Suppose that all the entries of A are nonzero, and that they are algebraically independent over the rational number field.
Richard A. Brualdi, Shmuel Friedland, Alex Pothen   +2 more
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Algebraic Analysis of the Hierarchical Basis Preconditioner

SIAM Journal on Matrix Analysis and Applications, 1995
The use of the hierarchical basis in finite element discretizations of two-dimensional elliptic partial differential equations produces matrices with condition numbers of order $O((\log h^{ - 1} )^2 )$. Standard proofs of this result are functional analytic in style.
Howard C. Elman, Xuejun Zhang
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On the existence of a disk algebra basis

Signal Processing, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On lie algebras with monomial basis

Siberian Mathematical Journal, 1993
Finite groups generated by 3-transpositions have been introduced and investigated in depth by \textit{B. Fischer} [Invent. Math. 13, 232-246 (1971; Zbl 0232.20040)]. Motivated by this remarkable result, the author attempts to study Lie algebras \(L\) over a field \(\Phi\) with a monomial basis \({\mathcal D}\) (that is, \(\forall a,b \in {\mathcal D}\),
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n-Algebras admitting a multiplicative basis

Journal of Algebra and Its Applications, 2018
Let [Formula: see text] be an [Formula: see text]-algebra of arbitrary dimension and over an arbitrary base field [Formula: see text]. A basis [Formula: see text] of [Formula: see text] is said to be multiplicative if for any [Formula: see text], we have either [Formula: see text] or [Formula: see text] for some (unique) [Formula: see text].
Calderón Martín, Antonio J., Navarro Izquierdo, Francisco J., Sánchez Delgado, José M.   +2 more
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PBW-basis for the composition algebra of the Kronecker algebra

Journal für die reine und angewandte Mathematik (Crelles Journal), 2000
The Hall algebra of a finite-dimensional associative algebra \(A\) with unit over a finite field \(k\) is a \(\mathbb{Q}\)-vector space with basis the isomorphism classes of all finite modules, with multiplication given by \([M]\cdot[N]:=\sum_{[L]}g_{M,N}^L[L]\), where \(g^L_{M,N}\) is the number of submodules \(V\) of \(L\) isomorphic to \(N\) with ...
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