the compact finite difference schemes have been found to give simple ways of reaching the objectives of high accuracy and low computational cost. during the past two decades, the compact schemes have been used extensively for numerical simulation of various fluid dynamics problems. these methods have also been applied for numerical solution of some prototype geophysical fluid dynamics problems ...

Nonlocal games with advantageous quantum strategies give arguably the most fundamental demonstration of power resources over their classical counterparts. Recently, certain multiplayer generalizations nonlocal have been used to prove unconditional separations between small computational complexity classes shallow-depth circuits. Here, we show for these generic ground states one-dimensional symm...