标题：Low-order, P-stable, two-step methods for use with lax accuracies
作者：Medvedev, Maxim A.; Simos, Theodore E.; Tsitouras, Charalampos
作者机构：[Medvedev, Maxim A.] Ural Fed Univ, Inst Ind Ecol UB RAS, Ekaterinburg 620990, Russia.; [Simos, Theodore E.] King Saud Univ, Coll Sci, Dept Math, PO 更多
通讯作者地址：[Simos, TE]10 Konitsis St, GR-17564 Athens, Greece.
来源：MATHEMATICAL METHODS IN THE APPLIED SCIENCES
关键词：Numerov; ode15s; periodic problems; y '' = f(x, y)
摘要：A semi-implicit family of two-step methods is considered for the numerical solution of y ''=f(x,y). These methods are hybrid and waste two stages (function evaluations) per step in order to attain fourth algebraic order while other methods of this type need three stages per step. Exploiting this improvement, we derive a particular method and conclude with a series of numerical tests on stiff periodic problems that illustrate its efficiency.