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The Polynomial Method

Fourier Restriction, Decoupling, and Applications, 2020
C. Demeter
semanticscholar   +2 more sources

The Polynomial Method

, 2017
In Chap. 6 we discussed the existence of labelings by utilizing the ⊗ h -product of digraphs, which could be expressed algebraically as a generalization of voltage assignments, a classical technique used in topological graph theory. In this chapter, we introduce an algebraic method: Combinatorial Nullstellensatz.
S. López, F. Muntaner-Batle
semanticscholar   +2 more sources

Ultrasonic reflection characteristics of Lithium-ion battery based on Legendre orthogonal polynomial method.

Ultrasonics, 2022
Mechanical properties such as density and Young's modulus of lithium-ion battery electrodes are related to the state of charge (SOC). Characterizing the battery SOC by means of ultrasonic non-destructive testing can obtain the relationship between wave ...
Guorong Song   +6 more
semanticscholar   +1 more source

Guided wave propagation in functionally graded fractional viscoelastic plates: A quadrature-free Legendre polynomial method

Mechanics of Advanced Materials and Structures, 2020
Compared to the traditional integer-order viscoelastic model, a fractional-order derivative viscoelastic model is shown to be advantageous. A quadrature-free Legendre polynomial method combining the Weyl definition of fractional order derivative is for ...
Zhi Li   +3 more
semanticscholar   +1 more source

Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method

, 2020
We show that via the complete discrimination system for polynomial method, the bifurcation, critical condition and topological properties of the nonlinear dynamics can be seen very easily.
Yue Kai   +5 more
semanticscholar   +1 more source

A Comparative Study on Polynomial Expansion Method and Polynomial Method of Particular Solutions

Advances in Applied Mathematics and Mechanics, 2022
Summary: In this study, the polynomial expansion method (PEM) and the polynomial method of particular solutions (PMPS) are applied to solve a class of linear elliptic partial differential equations (PDEs) in two dimensions with constant coefficients.
Chang, Jen-Yi   +2 more
openaire   +2 more sources

Piece-wise-polynomial method

Computational and Applied Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Vázquez-Leal
semanticscholar   +2 more sources

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