We develop an algorithm for solving a system of diophantine equations with lower and upper bounds on the variables. The algorithm is based on lattice basis reduction. It first finds a short vector ...

Quadratic equations are polynomials, meaning strings of math terms. An expression like “x + 4” is a polynomial. They can have ...

Santosh Vempala, along with Richard Peng, came up with a new, faster way of solving certain linear equations, “the workhorse of modern computation” according to Vempala.

In this paper, we introduce a general approach for proving optimal L² error estimates for the semidiscrete local discontinuous Galerkin (LDG) methods solving linear high order wave equations.