Remembrance of things past: Amnesic syndrome with partial preservation of professional skills

J.L., then a 25-year-old physiotherapist, became densely amnesic following herpes simplex encephalitis. She displayed severe retrograde amnesia, category-specific semantic memory loss, and a profound anterograde amnesia affecting both verbal and visual memory. Her working memory systems were relatively spared as were most of her cognitive problem-solving abilities, but her social functioning was grossly impaired. She was able to demonstrate several previously learned physiotherapy skills, but was unable to modify her application of these procedures in accordance with patient response. She showed no memory of theoretical or propositional knowledge, and could neither plan treatment or reason clinically. Three years later, J.L. had profound impairment of anterograde and retrograde declarative memory, with relative sparing of working memory for problem solving and long-term memory of procedural skills. The theoretical and practical implications of her amnesic syndrome are discussed.

Analysis of trigonometric implicit Runge-Kutta methods

Using generalized collocation techniques based on fitting functions that are trigonometric (rather than algebraic as in classical integrators), we develop a new class of multistage, one-step, variable stepsize, and variable coefficients implicit Runge-Kutta methods to solve oscillatory ODE problems. The coefficients of the methods are functions of the frequency and the stepsize. We refer to this class as trigonometric implicit Runge-Kutta (TIRK) methods. They integrate an equation exactly if its solution is a trigonometric polynomial with a known frequency. We characterize the order and A-stability of the methods and establish results similar to that of classical algebraic collocation RK methods. (c) 2006 Elsevier B.V. All rights reserved.