Results 31 to 40 of about 13,595 (306)

The general form of local bilinear functions [PDF]

open access: yes, 1993
summary:The scalar product of the FEM basis functions with non-intersecting supports vanishes. This property is generalized and the concept of local bilinear functional in a Hilbert space is introduced. The general form of such functionals in the spaces $
Práger, Milan
core   +1 more source

Positively curved bilinear forms [PDF]

open access: yesProceedings of the American Mathematical Society, 1986
A characterisation of the positivity of sectional curvature is given in terms of the angular spread of the second fundamental form.
Sarkaria, K. S., Zoltek, S. M.
openaire   +1 more source

Exact solutions of the classical Boussinesq system

open access: yesArab Journal of Basic and Applied Sciences, 2018
In this paper, we study exact solutions of the classical Boussinesq (CB) system, which describes propagations of shallow water waves. By using the bilinear form, with exponential expansions, we obtain solitary wave solutions of the CB system.
Hong-Qian Sun, Ai-Hua Chen
doaj   +1 more source

Lax integrability and soliton solutions of the (2 + 1)- dimensional Kadomtsev– Petviashvili– Sawada–Kotera– Ramani equation

open access: yesFrontiers in Physics, 2022
In this paper, a new (2 + 1)-dimensional nonlinear evolution equation is investigated. This equation is called the Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation, which can be seen as the two-dimensional extension of the Korteweg–de Vries–Sawada ...
Baoyong Guo
doaj   +1 more source

Interpolation with bilinear differential forms [PDF]

open access: yesProceedings of the 44th IEEE Conference on Decision and Control, 2006
We present a recursive algorithm for modeling with bilinear differential forms. We discuss applications of this algorithm for interpolation with symmetric bivariate polynominals, and for computing storage functions for autonomous systems.
Ishan Pendharkar   +2 more
openaire   +1 more source

A bilinear form relating two Leonard systems

open access: yes, 2009
Let Φ, Φ′ be Leonard systems over a field K, and V, V′ the vector spaces underlying Φ, Φ′, respectively. In this paper, we introduce and discuss a balanced bilinear form on V×V′.
Tanaka, Hajime
core   +1 more source

Structure vs Randomness for Bilinear Maps

open access: yesDiscrete Analysis, 2022
Structure vs randomness for bilinear maps, Discrete Analysis 2022:12, 21 pp. A _tensor_ can be thought of as a higher-dimensional analogue of a matrix (where a matrix is 2-dimensional).
Guy Moshkovitz, Alex Cohen
doaj   +1 more source

Dynamics of multi-solitons, multi-lumps and hybrid solutions in (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation

open access: yesResults in Physics, 2022
The (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani (KdVSKR) equation is proposed by extending one dimension of the (1+1)-dimensional KdVSKR equation.
Chen Zhu   +5 more
doaj   +1 more source

Multimodal Data‐Driven Microstructure Characterization

open access: yesAdvanced Engineering Materials, EarlyView.
A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang   +4 more
wiley   +1 more source

Data‐ and Theory‐Guided Design of Dual‐Role V‐Doped RuO2 for High‐Performance Acidic Oxygen Evolution

open access: yesAngewandte Chemie, EarlyView.
A data‐ and theory‐guided paradigm, leveraging large‐scale data mining of 718 catalysts and microkinetic modeling, identifies V‐doped RuO2 as optimal for acidic OER. Vanadium doping drives electron withdrawal from Ru centers, generating Lewis acidic sites that polarize O–H bonds and accelerate deprotonation kinetics. Experimental validation achieves an
Zhongliang Liu   +10 more
wiley   +2 more sources

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