R. R. Reynolds

Learn More
The classical techniques of separation of variables and eigenfunction expansions apply to a wide variety of boundary value problems in partial differential equations. Analogous procedures exist for certain partial difference equations that arise from discretization of the differential equations. The coefficients in the expansions associated with difference(More)
Teeth may become impacted when they fail to erupt or develop into the proper functional location. As such, impacted teeth are considered nonfunctional, abnormal, and pathological. The mandibular third molar is the most common tooth to become impacted. The cause of impacted third molars is thought to be inadequate space. Several studies indicate that a(More)
The term "fifth-order methods" is here applied to predict-correct methods using open and closed quadrature formulas having truncation errors proportional to the fifth power of the step length. The first part of the paper continues the investigation of R. W. Hamming [1] and of Milne and Reynolds [2, 3] relative to sgability. Improved methods are(More)
A. Obertelli,1 A. Gade,1 D. Bazin,1 C. M. Campbell,1,2 J. M. Cook,1,2 P. D. Cottle,3 A. D. Davies,1,2 D.-C. Dinca,1,2,∗ T. Glasmacher,1,2 P. G. Hansen,1 T. Hoagland,1 K. W. Kemper,3 J.-L. Lecouey,1,† W. F. Mueller,1 R. R. Reynolds,3 B. T. Roeder,3 J. R. Terry,1,2 J. A. Tostevin,4 K. Yoneda,1,‡ and H. Zwahlen1,2 1National Superconducting Cyclotron(More)
In Part I of this paper [1] the authors have shown that instability in Milne's method of solving differential equations numerically [2] can be avoided by the occasional use of Newton's “three eights” quadrature formula. Part I dealt with a single differential equation of first order. In Part II the analysis is extended to equations and systems(More)
R. R. Reynolds,1 P. D. Cottle,1 A. Gade,2,3 D. Bazin,2,3 C. M. Campbell,2,3 J. M. Cook,2,3 T. Glasmacher,2,3 P. G. Hansen,2,3 T. Hoagland,2 K. W. Kemper,1 W. F. Mueller,2 B. T. Roeder,1 J. R. Terry,2,3 and J. A. Tostevin4 1Physics Department, Florida State University, Tallahassee, Florida 32306, USA 2National Superconducting Cyclotron Laboratory, Michigan(More)
  • 1