Stability of the leapfrog/midpoint methodThe leapfrog method is popular because of its good stability when solving partial differential equations with oscillatory solutions....
An investigation of the upwind leapfrog method for scalar advection and acoustic/aeroacoustic wave propagation problems... My thesis advisor professor Philip Roe, who was already aware of this problem, came to me with a relatively new and generally unknown scheme known as the upwind leapfrog method....
On leapfrog-chebyshev schemesThis paper is dedicated to the improvement of the efficiency of the leapfrog method for linear and semilinear second-order differential equations....
Filtered leapfrog time integration with enhanced stability properties•Our goal is to solve the initial value problem y ′ = F (t; y(t)); y(0) = y0 by numerical approximation using the Leapfrog Method Linear Multistep Method: Leapfrog •A general form for s-step linear multi-step methods will have the form s∑ m=0 my n+m = k s∑ m=0 mF [t n+m; yn+m]; n = 0; 1;:::...
