Sentence examples for exponential scheme from inspiring English sources

In [16], the authors proposed a compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients.

We use a generalization of the exponential scheme to discretize this system of continuity equations with the finite volume method.

A direct rational exponential scheme is proposed to construct exact multi-soliton solutions and its fission, fusion phenomena after interaction of the solitons has been discussed.

We prove that with the generalized exponential scheme, the mass constraint can be satisfied exactly, although it is not explicitly applied.

The exponential scheme that has a fourth-order accuracy when the perturbation parameter ε is fixed is derived and a stability analysis of this scheme is discussed in [16].

Several approximation schemes for integrating the Riccati equation in cylindrical coordinates are considered: exponential, Magnus, Taylor series, Lagrange polynomials, with numerical examples indicating that the exponential scheme performs best.

We implemented a reduced model in the EXPINT package syntax [3] and compared various exponential schemes.

Numerical results show favorable properties of expK methods when compared to current exponential schemes.

In contrast to the existing exponential schemes, the new methods offer significant computational advantages when used with preconditioners.

Unlike traditional exponential schemes, expK methods require the construction of only a single Krylov space at each timestep.

Then, we design three exponential schemes for these coupled stochastic Schrödinger equations, which are driven by Brownian motions and jump processes.