In this paper, we give a necessary and sufficient condition for an algebraic ODE to have an algebraic general solution. For an autonomous first order ODE, we give an optimized bo...
With the scaling of technology, power grid noise is becoming increasingly significant for circuit performance. A typical power grid circuit contains millions of linear elements, m...
Koszul algebras have arisen in many contexts; algebraic geometry, combinatorics, Lie algebras, non-commutative geometry and topology. The aim of this paper and several sequel paper...
The primitives of point-based representations are independent but are rendered using surfels, which approximate the immediate neighborhood of each point linearly. A large number o...
The multiplication of the sparse multivariate polynomials using the recursive representations is revisited to take advantage on the multicore processors. We take care of the memor...