Showing papers by "Andrea Walther published in 1999"
01 Jan 1999
TL;DR: In this article, the inviscid Burgers' equation augmented by a control term and its adjoint equation is considered and approximations of the solution of both differential equations are calculated and compared.
Abstract: We consider the inviscid Burgers’ equation augmented by a control term and its adjoint equation. For several discretization schemes of the inviscid Burgers’ equation the adjoint finite difference methods are derived. Applying these discretization methods and the checkpointing routine treeverse, approximations of the solution of both differential equations are calculated and compared.
8 citations
TL;DR: In this paper, the authors examine the relative costs of obtaining various quantities for a linear or nonlinear mapping between Euclidean spaces, assuming that the vector function is evaluated by a computer program as a composition of arithmetic operations and univariate algebraic or transcendental functions such as the square root and the exponential.
3 citations