AbstractWe introduce certain class of quadratic algebras together with commutative subalgebras generated by additive and multiplicative Dunkl elements correspondingly. We identify these subalgebras with cohomology and K-theories of type A flag varieties. We show that value of Schubert polynomials on additive Dunkl elements is a generating function for the corresponding Littlewood-Richardson coe...
AbstractThe MUSCL-Hancock upwind scheme, as a variation of the MUSCL scheme, only do the initial data reconstruction once in every cell and solve the Riemann problem once at every cell interface in one time step and is widely used to solve hyperbolic conservation laws. The MMP property of the scheme with CFL number 1/2 for scalar equation is proved in [A. Suresh. SIAM Journal on Scientific Comp...