The nonuniform convergence of the Fourier series for discontinuous functions, and in particular
the oscillatory behavior of the finite sum, was already analyzed by Wilbraham in 1848. …

Spectral methods involve seeking the solution to a differential equation in terms of a series
of known, smooth functions. They have recently emerged as a viable alternative to finite …

Spectral methods are well-suited to solve problems modeled by time-dependent partial
differential equations: they are fast, efficient and accurate and widely used by mathematicians …

Transplantation approaches using cellular bridges 1, 2, fetal central nervous system cells 3,
4, 5, fibroblasts expressing neurotrophin-3 (ref. 6), hybridoma cells expressing inhibitory …

The stability characteristics of various compact fourth- and sixth-order spatial operators are
assessed with the theory of Gustafsson, Kreiss, and Sundström (GKS) for the semidiscrete …

Stable and accurate interface conditions based on the SAT penalty method are derived for
the linear advection–diffusion equation. The conditions are functionally independent of the …

Mouse embryonic stem (ES) cells cultured as aggregates and exposed to retinoic acid are
induced to express multiple phenotypes normally associated with neurons. A large …

METHODS Routineidentifications. Gram reactions were determined, condidial and hyphal
dimensions were measured, and the growth characteristicsand responses of the various …

We present a systematic method for constructing boundary conditions (numerical and physical)
of the required accuracy, for compact (Padé-like) high-order finite-difference schemes for …

Zanubrutinib is a potent and highly selective inhibitor of Bruton tyrosine kinase (BTK). In this
first-in-human, open-label, multicenter, phase 1 study, patients in part 1 (3 + 3 dose …