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Keywords: partial differential equations
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Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Review Articles
Appl. Mech. Rev. May 2010, 63(3): 030803.
Published Online: July 2, 2010
... 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 Notes in Economics...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Review Articles
Appl. Mech. Rev. November 2004, 57(6): 443–478.
Published Online: February 16, 2005
... 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...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. September 2004, 57(5): B26.
Published Online: December 21, 2004
...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...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Review Articles
Appl. Mech. Rev. September 2004, 57(5): 325–343.
Published Online: December 21, 2004
... 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...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. March 2004, 57(2): B9.
Published Online: April 26, 2004
...K Hollig,, Editor; DJ Benson,, Reviewer 26 04 2004 finite element analysis splines (mathematics) numerical analysis partial differential equations 3R1. Finite Element Methods with B-Splines. - Edited by K Hollig (Universitat Stuttgart, Stuttgart, Germany). SIAM...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. November 2003, 56(6): B77.
Published Online: November 26, 2003
... that field. It should make a good text for graduate-level numeric courses. Purchase by libraries is recommended. In the spirit of being a tutorial and text, Computational Partial Differential Equations: Numerical Methods and Diffpack Programming has over 150 exercises and a comparable number of worked...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. November 2003, 56(6): B77–B78.
Published Online: November 26, 2003
..., the linear hyperbolic partial differential equation is analyzed in Section 5.4, the elliptic equations are described in section 5.5, and the parabolic equations are analyzed in Section 5.6. The interior layers are illustrated in Section 5.7 using an example introduced earlier by Lagerstrom (1988). In Section...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. November 2003, 56(6): B81–B82.
Published Online: November 26, 2003
... equation with a remeshing strategy and provide improved solutions to the Navier-Stokes equations. Design Sensitivity Analysis is a condensed book that introduces the mathematical aspects of the continuous sensitivity equation methods (CSEMs) for partial differential equations (PDEs). It may serve...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. July 2003, 56(4): B54–B55.
Published Online: July 22, 2003
...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...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. January 2003, 56(1): B3.
Published Online: January 15, 2003
... Powder Mill Rd, Adelphi MD 20783-1197). The mathematics of control theory for a single Partial Differential Equation has been studied for some time. However, for more complex systems governed by systems of coupled PDEs, the available works are fewer. The tools developed for single PDE systems...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. November 2002, 55(6): B112–B114.
Published Online: October 16, 2002
...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...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. September 2002, 55(5): B97.
Published Online: September 11, 2002
...Yuxi Zheng; TH Moulden 11 09 2002 partial differential equations conservation laws nonlinear differential equations reviews 9R47. Systems of Conservation Laws: Two-Dimensional Riemann Problems. Progress in Nonlinear Differential Equations and Their Applications, Vol 38...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. September 2002, 55(5): B84–B85.
Published Online: September 11, 2002
...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...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. July 2002, 55(4): B74–B75.
Published Online: July 30, 2002
...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...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. July 2002, 55(4): B63–B64.
Published Online: July 30, 2002
...H Freistuhler,, Editor; A Szepessy,, Editor; Y Horie,, Reviewer 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 and Their Applications...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. May 2002, 55(3): B43.
Published Online: June 10, 2002
...O Axelsson,, Author; VA Barker,, Author; DJ Benson,, Reviewer 10 06 2002 boundary-value problems finite element analysis partial differential equations reviews 5R3. Finite Element Solution of Boundary Value Problems: Theory and Computation. Classics in Applied Math, Vol...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. May 2002, 55(3): B46–B47.
Published Online: June 10, 2002
...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...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Book Reviews
Appl. Mech. Rev. March 2002, 55(2): B29–B30.
Published Online: April 3, 2002
... 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...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Retrospectives
Appl. Mech. Rev. September 2001, 54(5): R11–R15.
Published Online: September 1, 2001
...Patricio AA Laura flexible structures acoustic emission variational techniques partial differential equations history biographies I apologize sincerely for using the title of the book I coauthored with R Schinzinger (Elsevier, 1991) for this section of my Retrospective...
Journal Articles
Journal:
Applied Mechanics Reviews
Article Type: Review Articles
Appl. Mech. Rev. November 2001, 54(6): 525–562.
Published Online: July 17, 2001