Acta Numerica has established itself as the prime forum for the presentation of definitive reviews of numerical analysis topics. The invited review papers, by leaders in their respective fields, allow researchers and graduate students alike quickly to grasp trends and developments. Highlights of the 1995 issue include articles on sequential quadratic programming, mesh adaption, free boundary problems and particle methods in continuum computations.

This acclaimed series provides survey articles on the present state and future direction of research in important branches of applied mechanics. Volume 31 provides the following fully referenced, and comprehensive articles:A New Integrable Shallow Water Equation discusses the initial value problem and soliton solutions for a newly discovered, completely integrable, dispersive shallow water equation as well as the elastic collision properties of the N-soliton solutionThe Onset and Development of Thermal Convection in Fully Developed Shear Flows focuses on a few basic states involving a Boussinesq fluid and fully developed forced flows, mainly of the Couette or Poiseuille typeVortex Element Methods for Flow Simulation covers vortex patches and filaments and a critical account of difficulties, limitations, and continuing efforts to improve the simulations of laminar or peturbulent flows through the use of vortex elementmethodsMicromechanics Constitutive Description of Thermoelastic Martensitic Transformations is concerned with the micromechanics description of transformation plasticity, incorporating microstructure, crystallography, thermodynamics and micromechanics into the continuum formulation of the macroscopic constitutive behavior.

This research note consists of selected contributions from the 1993 International Conference on "Free Boundary Problems: Theory and Applications." These represent coherent and high-level research in the field of free boundary problems. Topics include mean curvature flows, phase transitions and material sciences, fluid mechanics and combustion problems.

Vortex methods have emerged as a new class of powerful numerical techniques to analyze and compute vortex motion. This book addresses the theoretical, numerical, computational, and physical aspects of vortex methods and vortex motion.