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Journal Articles

Bifurcation Theory: An Introduction With Applications to PBEs (Applied Mathematical Sciences 156 Series)

H Kielhofer,, Editor, HW Haslach,, Jr

Appl. Mech. Rev. September 2004, 57(5): B26.

DOI: https://doi.org/10.1115/1.1818690

Published Online: December 21, 2004

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Topics: Bifurcation, Partial differential equations

Journal Articles

Finite Element Methods with B-Splines

K Hollig,, Editor, DJ Benson,, Reviewer

Appl. Mech. Rev. March 2004, 57(2): B9.

DOI: https://doi.org/10.1115/1.1704619

Published Online: April 26, 2004

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Topics: B-splines, Finite element analysis, Finite element methods, Mathematics, Splines, Partial differential equations, Numerical analysis

Journal Articles

Computational Partial Differential Equations: Numerical Methods and Diffpack Programming, Second Edition

HP Langtangen,, Author, RL Huston,, Reviewer

Appl. Mech. Rev. November 2003, 56(6): B77.

DOI: https://doi.org/10.1115/1.1623748

Published Online: November 26, 2003

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Topics: Computer programming, Numerical analysis, Partial differential equations, Finite element analysis

Journal Articles

Perturbation Methods for Differential Equations

BK Shivamoggi,, Author, J Awrejcewicz,, Reviewer

Appl. Mech. Rev. November 2003, 56(6): B77–B78.

DOI: https://doi.org/10.1115/1.1623750

Published Online: November 26, 2003

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Topics: Differential equations, Partial differential equations

Journal Articles

Design Sensitivity Analysis: Computational Issues of Sensitivity Equation Methods

LG Stanley,, Author, DL Stewart,, Author, Yu-Tai Lee,, Reviewer

Appl. Mech. Rev. November 2003, 56(6): B81–B82.

DOI: https://doi.org/10.1115/1.1623756

Published Online: November 26, 2003

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Topics: Design sensitivity analysis, Partial differential equations, Sensitivity analysis

Journal Articles

Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors. Cambridge Texts in Applied Mathematics

JC Robinson,, Author, C Pierre,, Reviewer

Appl. Mech. Rev. July 2003, 56(4): B54–B55.

DOI: https://doi.org/10.1115/1.1579456

Published Online: July 22, 2003

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Topics: Attractors, Dynamic systems, Engineering mathematics, Functional analysis, Partial differential equations, Nonlinear dynamical systems

Journal Articles

Mathematical Control Theory of Coupled PDEs

I Lasiecka,, Author, GC Gaunaurd,, Reviewer

Appl. Mech. Rev. January 2003, 56(1): B3.

DOI: https://doi.org/10.1115/1.1523354

Published Online: January 15, 2003

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Topics: Control theory, Partial differential equations

Journal Articles

Variational Inequality Approach to Free Boundary Problems with Applications in Mould Filling. ISNM, Vol 136

J Steinbach,, Author, L Mishnaevsky, Jr,

Appl. Mech. Rev. November 2002, 55(6): B112–B114.

DOI: https://doi.org/10.1115/1.1508152

Published Online: October 16, 2002

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Topics: Boundary-value problems, Finite element analysis, Molding, Partial differential equations, Variational techniques, Approximation, Numerical analysis, Nonlinear differential equations, Compression molding

Journal Articles

Systems of Conservation Laws: Two-Dimensional Riemann Problems. Progress in Nonlinear Differential Equations and Their Applications, Vol. 38

Yuxi Zheng, TH Moulden

Appl. Mech. Rev. September 2002, 55(5): B97.

DOI: https://doi.org/10.1115/1.1497486

Published Online: September 11, 2002

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Topics: Nonlinear differential equations, Partial differential equations

Journal Articles

Dynamics of Evolutionary Equations. Applied Math Sciences, Vol. 143

GR Sell, Yuncheng You, K Anderson

Appl. Mech. Rev. September 2002, 55(5): B84–B85.

DOI: https://doi.org/10.1115/1.1497469

Published Online: September 11, 2002

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Topics: Dynamics (Mechanics), Engineering mathematics, Functional analysis, Linear systems, Partial differential equations, Systems theory, Nonlinear dynamical systems

Journal Articles

Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics. Progress in Nonlinear Differential Equations and Their Applications, Vol 48

SN Antontsev,, Author, JI Diaz,, Author, S Shmarev,, Author, AJ Kassab,, Reviewer

Appl. Mech. Rev. July 2002, 55(4): B74–B75.

DOI: https://doi.org/10.1115/1.1483358

Published Online: July 30, 2002

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Topics: Fluid mechanics, Nonlinear differential equations, Partial differential equations

Journal Articles

Finite Element Solution of Boundary Value Problems: Theory and Computation. Classics in Applied Math, Vol. 35

O Axelsson,, Author, VA Barker,, Author, DJ Benson,, Reviewer

Appl. Mech. Rev. May 2002, 55(3): B43.

DOI: https://doi.org/10.1115/1.1470667

Published Online: June 10, 2002

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Topics: Boundary-value problems, Computation, Engineering mathematics, Finite element analysis, Partial differential equations

Journal Articles

Mathematical Aspects of Numerical Solution of Hyperbolic Systems. Monographs and Surveys in Pure and Applied Mathematics, Vol. 118

AG Kulikovskii,, Author, NV Pogorelov,, Author, AY Semenov,, Author, K Piechor,, Reviewer

Appl. Mech. Rev. May 2002, 55(3): B46–B47.

DOI: https://doi.org/10.1115/1.1470672

Published Online: June 10, 2002

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Topics: Engineering mathematics, Numerical analysis, Partial differential equations, Wave equations

Journal Articles

Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes

PD Christofides,, Author, J Chow,, Reviewer

Appl. Mech. Rev. March 2002, 55(2): B29–B30.

DOI: https://doi.org/10.1115/1.1451164

Published Online: April 3, 2002

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Topics: Robust control, Control theory, Partial differential equations

Journal Articles

Self-Similarity and Beyond: Exact Solutions of Nonlinear Problems

PL Sachdev, WS Janna

Appl. Mech. Rev. November 2001, 54(6): B108–B109.

DOI: https://doi.org/10.1115/1.1421123

Published Online: November 1, 2001

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Topics: Nonlinear differential equations, Partial differential equations, Wave equations, Waves, Traveling waves, Differential equations, Diffusion (Physics), Dimensions, Flow (Dynamics), Gasdynamics

Journal Articles

On the Dynamics of Elastic Multibody Systems

Hartmut Bremer

Appl. Mech. Rev. September 1999, 52(9): 275–303.

DOI: https://doi.org/10.1115/1.3098939

Published Online: September 1, 1999

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Topics: Boundary-value problems, Deflection, Dynamics (Mechanics), Equations of motion, Multibody systems, Partial differential equations, Stiffness, Torsion, Vibration

Journal Articles

Real Porous Media: Local Geometry and Macroscopic Properties

P. M. Adler, J.-F. Thovert

Appl. Mech. Rev. September 1998, 51(9): 537–585.

DOI: https://doi.org/10.1115/1.3099022

Published Online: September 1, 1998

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Topics: Geometry, Porous materials, Algorithms, Convection, Diffusion (Physics), Electrokinetics, Electrolytes, Equilibrium (Physics), Lattice Boltzmann methods, Mechanical properties

Journal Articles

General Reduced Order Analytical Model for Nonlinear Dynamic Analyses of Beams With or Without Lumped Masses

M. R. M. Crespo da Silva

Appl. Mech. Rev. November 1997, 50(11S): S28–S35.

DOI: https://doi.org/10.1115/1.3101844

Published Online: November 1, 1997

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Topics: Approximation, Deformation, Differential equations, Displacement, Dynamic analysis, Dynamic response, Equilibrium (Physics), Excitation, Nonlinear differential equations, Nonlinear dynamics

Journal Articles

Nonlinear Mode Localization in Systems Governed by Partial Differential Equations

Alexander F. Vakakis

Appl. Mech. Rev. February 1996, 49(2): 87–99.

DOI: https://doi.org/10.1115/1.3101890

Published Online: February 1, 1996

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Topics: Partial differential equations, Oscillations, Vibration, Bifurcation, Equilibrium (Physics), Flexible structures, Manufacturing, Shock isolation, Standing waves, Stress

Journal Articles

Jump Phenomena, Bifurcations, and Chaos in a Pressure Loaded Spherical Cap Under Harmonic Excitation

Paulo Batista Gonc¸alves

Appl. Mech. Rev. November 1993, 46(11S): S279–S288.

DOI: https://doi.org/10.1115/1.3122646

Published Online: November 1, 1993

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Topics: Bifurcation, Chaos, Excitation, Pressure, Stress, Bessel functions, Resonance, Degrees of freedom, Differential equations, Galerkin method

Journal citation

NARROW

Bifurcation Theory: An Introduction With Applications to PBEs (Applied Mathematical Sciences 156 Series)

Finite Element Methods with B-Splines

Computational Partial Differential Equations: Numerical Methods and Diffpack Programming, Second Edition

Perturbation Methods for Differential Equations

Design Sensitivity Analysis: Computational Issues of Sensitivity Equation Methods

Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors. Cambridge Texts in Applied Mathematics

Mathematical Control Theory of Coupled PDEs

Variational Inequality Approach to Free Boundary Problems with Applications in Mould Filling. ISNM, Vol 136

Systems of Conservation Laws: Two-Dimensional Riemann Problems. Progress in Nonlinear Differential Equations and Their Applications, Vol. 38

Dynamics of Evolutionary Equations. Applied Math Sciences, Vol. 143

Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics. Progress in Nonlinear Differential Equations and Their Applications, Vol 48

Finite Element Solution of Boundary Value Problems: Theory and Computation. Classics in Applied Math, Vol. 35

Mathematical Aspects of Numerical Solution of Hyperbolic Systems. Monographs and Surveys in Pure and Applied Mathematics, Vol. 118

Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes

Self-Similarity and Beyond: Exact Solutions of Nonlinear Problems

On the Dynamics of Elastic Multibody Systems

Real Porous Media: Local Geometry and Macroscopic Properties

General Reduced Order Analytical Model for Nonlinear Dynamic Analyses of Beams With or Without Lumped Masses

Nonlinear Mode Localization in Systems Governed by Partial Differential Equations

Jump Phenomena, Bifurcations, and Chaos in a Pressure Loaded Spherical Cap Under Harmonic Excitation

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