Noble O. Fowler: The complete cardiologist

Compact O-complete Trees

In this paper, a novel am to ordered retrieval in very large files is developed. The method employs a B-tree like search algorithm that is independent of key type or key length because all keys in index blocks are encoded by a lo&f bit surrogate, where M is the maximal key length. For example, keys of length less than 32 bytes can be represented by a single byte in the index. This ensures a max...

The Generalized Emden-Fowler Equation

We give the description of nonlinear nonautonomous ordinary differential equations of order n with a so-called reducible linear part. The group classification of generalized Emden-Fowler equations of the mentioned class is done. We have found such laws of the variation of f(x) that the equation admits one, two, or tree one-parameter Lie groups.

A cardiologist in the carotids.

Carotid endarterectomy for stroke prevention has been the standard of care for 50 years in patients with extra-cranial carotid bifurcation disease. Over the past decade, carotid stenting has emerged as a viable alternative to surgery. Combined with filter embolic protection devices, both a randomized control trial (Stenting and Angioplasty with Protection in Patients at High Risk for Endarterec...

Splitting methods for the nonlocal Fowler equation

We consider a nonlocal scalar conservation law proposed by Andrew C. Fowler to describe the dynamics of dunes, and we develop a numerical procedure based on splitting methods to approximate its solutions. We begin by proving the convergence of the well-known Lie formula, which is an approximation of the exact solution of order one in time. We next use the split-step Fourier method to approximat...

President’s Page: The Importance of the Cardiologist