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math.NA2019★ 4 cited
Mass and energy conservative high order diagonally implicit Runge--Kutta schemes for nonlinear Schrödinger equation in one and two dimensions
Ziyuan Liu, Hong Zhang, Xu Qian +1
We present and analyze a series of conservative diagonally implicit Runge--Kutta schemes for the nonlinear Schrödiner equation. With the application of the newly developed invarian…
cs.MS2019★ 1 cited
Computing Derivatives for PETSc Adjoint Solvers using Algorithmic Differentiation
J. G. Wallwork, P. Hovland, H. Zhang +1
Most nonlinear partial differential equation (PDE) solvers require the Jacobian matrix associated to the differential operator. In PETSc, this is typically achieved by either an an…