..., Mathematical and Computational Problems ,” Proceedings of the Third Symposium on Numerical Solution of Partial Differential Equations III, (SYNSPADE) , pp. 89 – 116 . Babuska , I. , 1976 , “ Homogenization Approach in Engineering ,” Computing Methods in Applied Sciences and Engineering ( Lecture...

... problems are discussed. Approximate methods for asymptotic analysis of either single or multi-degree-of-freedom models of small-sag cables are addressed, as well as asymptotic models operating directly on the original partial differential equations. Numerical tools and geometrical techniques from dynamical...

...H Kielhofer,, Editor; HW Haslach,, Jr 21 12 2004 bifurcation partial differential equations reviews 9R3. Bifurcation Theory: An Introduction With Applications to PBEs (Applied Mathematical Sciences 156 Series). - Edited by H Kielhofer (Inst for Math, Univ of Augsburg...

... the problems. The large number of complicated equations involving elasticity is reduced to a single or a few partial differential equations of higher order by this technique. Also, efforts have been made to simplify the equations for 3D cubic quasi-crystals to a single partial differential equation of higher...

.... The finite element method has been used extensively for solving partial differential equations for over forty years. During most of this period, the basis functions used to approximate the solution have primarily been piecewise continuous polynomials typically derived from Lagrange interpolating polynomials...

...HP Langtangen,, Author; RL Huston,, Reviewer 26 11 2003 partial differential equations numerical analysis finite element analysis reviews 11R1. Computational Partial Differential Equations: Numerical Methods and Diffpack Programming, Second Edition. - HP Langtangen...

...BK Shivamoggi,, Author; J Awrejcewicz,, Reviewer differential equations partial differential equations perturbation techniques reviews 11R3. Perturbation Methods for Differential Equations. - BK Shivamoggi (Dept of Math, Univ of Central Florida, Orlando FL 32816-1364...

... the methodology for other problems, it would require further detailed formulation. Continuous growth in adapting the CSEM in complex CFD software is, however, envisioned in the near future. 26 11 2003 partial differential equations sensitivity analysis reviews Design Sensitivity...

...JC Robinson,, Author; C Pierre,, Reviewer 22 07 2003 partial differential equations nonlinear dynamical systems functional analysis reviews 7R7. Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors...

...I Lasiecka,, Author; GC Gaunaurd,, Reviewer 15 01 2003 control theory partial differential equations reviews 1R9. Mathematical Control Theory of Coupled PDEs. - I Lasiecka (Univ of Virginia, Charlottesville VA) . SIAM, Philadelphia. 2002. 242 pp. Softcover. ISBN 0-89871...

...J Steinbach,, Author; L Mishnaevsky, Jr, 16 10 2002 moulding boundary-value problems variational techniques partial differential equations reviews 11R23. Variational Inequality Approach to Free Boundary Problems with Applications in Mould Filling. ISNM, Vol 136. - J...

... in detail. The appendix to Chapter 7 proves some theorems relevant to the material in the chapter. The text under review is based upon the contents of a course on partial differential equations offered at Indiana University. The subtitle, Two-Dimensional Riemann Problems , indicates the main thrust...

...GR Sell; Yuncheng You; K Anderson 11 09 2002 system theory linear systems nonlinear dynamical systems partial differential equations functional analysis reviews 9R8. Dynamics of Evolutionary Equations. Applied Math Sciences, Vol 143. - GR Sell (Sch of Math, Univ...

...SN Antontsev,, Author; JI Diaz,, Author; S Shmarev,, Author; AJ Kassab,, Reviewer 30 07 2002 fluid mechanics partial differential equations boundary-value problems nonlinear differential equations reviews 7R42. Energy Methods for Free Boundary Problems: Applications...

... in cosmology as well as anyone whose thinking extends to the leading edge of the universe. 30 07 2002 shock waves nonlinear differential equations partial differential equations reviews 7R8. Advances in the Theory of Shock Waves. Progress in Nonlinear Differential Equations...

...AG Kulikovskii,, Author; NV Pogorelov,, Author; AY Semenov,, Author; K Piechor,, Reviewer 10 06 2002 partial differential equations conservation laws numerical analysis wave equations reviews 5R12. Mathematical Aspects of Numerical Solution of Hyperbolic Systems...

... the interests of students in numerical analysis and mathematics so well, the majority of mechanical engineers will probably not be interested in this text. Most of the partial differential equations are model linear ones, and the challenges associated with beam, plate, and shell elements are largely ignored...

... rightly states in his preface, “The interest in control of nonlinear partial differential equation (PDE) systems has been triggered by the need to achieve tight distributed control of transport-reaction processes that exhibit highly nonlinear behavior and strong spatial variations.” As a result...

... in the case of partial differential equations other than Laplace’s equation one must employ, in general, approximate techniques to solve the transformed differential system, but in many instances this can be accomplished in a straightforward manner. Since the transformed domain is a simple one, eg, a unit...

... and uniqueness of solutions of the fluid flows problems concludes this paper. At the end, after some concluding remarks, there are 306 references. fluid dynamics Navier-Stokes equations Boltzmann equation kinetic theory boundary-value problems partial differential equations history reviews e...