We provide a road towards obtaining gravitational waveforms from inspiraling material binaries with an accuracy viable for third-generation wave detectors, without necessarily advancing computational hardware or massively-parallel software infrastructure. demonstrate proof-of-principle 1+1-dimensional numerical implementation that exhibits up to 7th-order convergence highly dynamic barotropic s...

We give a thorough overview of the different notions for order convergence that are found in literature and provide systematic comparison associated topologies. As an application this study we prove result related to topology on von Neumann algebras, complementing started Chetcuti et al. (Stud. Math. 230:95-120, 2015). show every atomic algebra (not necessarily \(\sigma \)-finite) restriction b...

We present several characterizations of uo-convergent nets or sequences in spaces continuous functions C(Ω), Cb(Ω), C0(Ω), and C∞(Ω), extending results [11]. In particular, it is shown that a sequence uo-converges iff converges pointwise on co-meagre set. also characterize order bounded sets functions. This leads to convergence.

In this paper, seventh-order iterative methods for the solution ofnonlinear equations are presented. The new iterative methods are developed byusing weight function method and using an approximation for the last derivative,which reduces the required number of functional evaluations per step. Severalexamples are given to illustrate the eciency and the performance of the newiterative methods.