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Proper Orthogonal Decomposition Methods for Partial Differential Equations

1, 2018

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Analysis and algorithms for the computation of the excited states of helium

Journal of computational and applied mathematics, 2011-02, Vol.235 (8), p.2041-2062

2011

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Variational justification of the dimensional-scaling method in chemical physics: the H-atom

Journal of mathematical chemistry, 2010-10, Vol.48 (3), p.791-811

2010

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Chaotic Oscillations of Solutions of the Klein–Gordon Equation Due to Imbalance of Distributed and Boundary Energy Flows

International journal of bifurcation and chaos in applied sciences and engineering, 2014-07, Vol.24 (7), p.1430021

2014

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Chaotic Oscillations of Second Order Linear Hyperbolic Equations with Nonlinear Boundary Conditions: A Factorizable but Noncommutative Case

International journal of bifurcation and chaos in applied sciences and engineering, 2015-10, Vol.25 (11), p.1530032

2015

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Animal Shapes, Modal Analysis, and Visualization of Motion (IV): Geometric Constructions and Implementation

The Journal of geometric analysis, 2023-10, Vol.33 (10), Article 330

2023

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Chaotic Oscillations of Solutions of First Order Hyperbolic Systems in 1D with Nonlinear Boundary Conditions

International journal of bifurcation and chaos in applied sciences and engineering, 2014-05, Vol.24 (5), p.1450072

2014

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Concentration Problems for Bandpass Filters in Communication Theory over Disjoint Frequency Intervals and Numerical Solutions

The Journal of fourier analysis and applications, 2012-02, Vol.18 (1), p.182-210

2012

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Boundary element monotone iteration scheme for semilinear elliptic partial differential equations

Mathematics of computation, 1996-07, Vol.65 (215), p.943-982

1996

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Boundary Element Monotone Iteration Scheme for Semilinear Elliptic Partial Differential Equations, Part II: Quasimonotone Iteration for Coupled 2 x 2 Systems

Mathematics of computation, 2000-04, Vol.69 (230), p.629-652

2000

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Mathematical analysis of the dimensional scaling technique for the Schroedinger equation with power-law potentials

Journal of mathematical physics, 2010-12, Vol.51 (12)

2010

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Exponential Stability Analysis of a Long Chain of Coupled Vibrating Strings with Dissipative Linkage

SIAM journal on applied mathematics, 1989-12, Vol.49 (6), p.1694-1707

1989

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Pointwise Stabilization in the Middle of the Span for Second Order Systems, Nonuniform and Uniform Exponential Decay of Solutions

SIAM journal on applied mathematics, 1987-08, Vol.47 (4), p.751-780

1987

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“More boundary energy dissipation” does not necessarily imply larger asymptotic decay rates

Asymptotic analysis, 1992, Vol.6 (2), p.191-203

1992

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A Note on the Boundary Stabilization of the Wave Equation

SIAM journal on control and optimization, 1981-01, Vol.19 (1), p.106-113

Chen, Goong

1981

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Control and Stabilization for the Wave Equation, Part III: Domain with Moving Boundary

SIAM journal on control and optimization, 1981-01, Vol.19 (1), p.123-138

1981

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Computing optimal boundary controls of a plate by the boundary element method

26th IEEE Conference on Decision and Control, 1987, Vol.26, p.992-996

1987

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Nonlinear boundary feedback control of the one-dimensional wave equation

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2000, Vol.3, p.2060-2065 vol.3

2000

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Exact Controllability Theorems and Numerical Simulations for Some Nonlinear Differential Equations

SIAM journal on control and optimization, 1981-11, Vol.19 (6), p.765-790

1981

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Uniform exponential stabilization of coupled Euler-Bernoulli beams

The 23rd IEEE Conference on Decision and Control, 1984, p.1159-1162

1984

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Proper Orthogonal Decomposition Methods for Partial Differential Equations

Analysis and algorithms for the computation of the excited states of helium

Variational justification of the dimensional-scaling method in chemical physics: the H-atom

Chaotic Oscillations of Solutions of the Klein–Gordon Equation Due to Imbalance of Distributed and Boundary Energy Flows

Chaotic Oscillations of Second Order Linear Hyperbolic Equations with Nonlinear Boundary Conditions: A Factorizable but Noncommutative Case

Animal Shapes, Modal Analysis, and Visualization of Motion (IV): Geometric Constructions and Implementation

Chaotic Oscillations of Solutions of First Order Hyperbolic Systems in 1D with Nonlinear Boundary Conditions

Concentration Problems for Bandpass Filters in Communication Theory over Disjoint Frequency Intervals and Numerical Solutions

Boundary element monotone iteration scheme for semilinear elliptic partial differential equations

Boundary Element Monotone Iteration Scheme for Semilinear Elliptic Partial Differential Equations, Part II: Quasimonotone Iteration for Coupled 2 x 2 Systems

Mathematical analysis of the dimensional scaling technique for the Schroedinger equation with power-law potentials

Exponential Stability Analysis of a Long Chain of Coupled Vibrating Strings with Dissipative Linkage

Pointwise Stabilization in the Middle of the Span for Second Order Systems, Nonuniform and Uniform Exponential Decay of Solutions

“More boundary energy dissipation” does not necessarily imply larger asymptotic decay rates

A Note on the Boundary Stabilization of the Wave Equation

Control and Stabilization for the Wave Equation, Part III: Domain with Moving Boundary

Computing optimal boundary controls of a plate by the boundary element method

Nonlinear boundary feedback control of the one-dimensional wave equation

Exact Controllability Theorems and Numerical Simulations for Some Nonlinear Differential Equations

Uniform exponential stabilization of coupled Euler-Bernoulli beams

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