搜索结果: 1-8 共查到“偏微分方程 polynomials”相关记录8条 . 查询时间(0.518 秒)
As an application, we show that with boundary conditions corresponding to integer partitions , the six-vertex model is exactly solvable and equal to a Schur
polynomial s times a deformation of the ...
A New Graded Algebra Structure on Differential Polynomials: Level Grading and its Application to the Classification of Scalar Evolution Equations in 1+1 Dimension
New Graded Algebra Structure Differential Polynomials Level Grading Classification of Scalar Evolution Equations 1+1 Dimension
2012/4/26
We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...
Abstract: We discuss the formal aspects of the factorial polynomials and of the associated series. We develop the theory using the formalism of quasi-monomials and prove the usefulness of the method f...
Sturmian Multiple Zeros for Stokes and Navier--Stokes Equations in $\re^3$ via Solenoidal Hermite Polynomials
Stokes and Navier–Stokes equations in R3 blow-up scaling solenoidal Hermite polynomials eigenfunction expansion
2011/9/9
Abstract: Multiple spatial zero formations for Stokes and Navier-Stokes equations in three dimensions are shown to occur according to nodal sets of solenoidal Hermite polynomials. Extensions to well-p...
Irrationality of the Roots of the Yablonskii-Vorob'ev Polynomials and Relations between Them
second Painlev´ e equation rational solutions power series expansion
2011/1/21
We study the Yablonskii–Vorob’ev polynomials, which are special polynomials used to represent rational solutions of the second Painlev´e equation. Divisibility properties of the coefficients of ...
Oscillator Variations of the Classical Theorem on Harmonic Polynomials
Oscillator Variations Classical Theorem Harmonic Polynomials
2011/1/21
We study two-parameter oscillator variations of the classical theorem on har-monic polynomials, associated with noncanonical oscillator representations of sl(n, F) and o(n, F).
Generating functions for the Bernstein polynomials: A unified approach to deriving identities for the Bernstein basis functions
Bernstein polynomials generating function Szasz-Mirakjan basis functions
2011/2/28
The main aim of this paper is to provide a unified approach to deriving identities for the Bernstein polynomials using a novel generating function. We derive various functional equations and different...
Relative Node Polynomials for Plane Curves
Enumerative geometry floor diagram Gromov-Witten theory
2010/12/13
We generalize the recent work of S. Fomin and G. Mikhalkin on polynomial formulas for Severi degrees.