The Algebra of Multi-linear Partial Differential Operators

The Algebra of Linear Partial Difference Operators and Its Applications

The algebra of linear partial difference operators is investigated, and an elimination procedure demonstrated. Applications to combinatorics are given. In particular, a new proof and a q-analogue of MacMahon's Master Theorem are given.

Linear Operators in the Theory of Partial Differential Equations

Some Linear Operators in the Theory of Partial Differential Equations.

Numerical Linear Algebra and Solvability of Partial Differential Equations

Quantifier Elimination for Approximate Factorization of Linear Partial Differential Operators

This paper looks at the feasibility of applying the quantifier elimination program QEPCAD-B to obtain quantifier-free conditions for the approximate factorization of a simple hyperbolic linear partial differential operator (LPDO) of order 2 over some given bounded rectangular domain in the plane. A condition for approximate factorization of such an operator to within some given tolerance over s...