First-order derivatives: n additional function calls are needed. Second-order derivatives based on gradient calls, when the "grd" module is specified (Dennis and Schnabel 1983): n additional gradient ...

For Boeing and Airbus, the past several years have largely been about managing constraints and informing unhappy customers of late aircraft deliveries. But both large airframers are hopeful that some ...

Abstract: The complex-frequency-shifted convolutional perfectly matched layer (CFS-CPML) has been widely used in numerical simulations of the first-order seismic wave equations to avoid artificial ...

Abstract: This article addresses a predefined-time distributed optimization problem for high-order nonlinear multiagent systems (MASs). First, by means of a distributed proportional integration (PI) ...

A free-scalar field satisfying a wave equation with any number of time derivatives is expanded in terms of creation and annihilation operators that are quantized by replacing the classical Poisson ...

We use the notion of the logarithm of the derivative operator to describeW∞ type algebras as central extensions of the algebra of differential operators. We also provide closed formulae for the ...