Grover's Algorithm for Multiobject Search in Quantum Computing (2009)
Goong Chen, Stephen A. Fulling, Marlan O. Scully
Abstract L. K. Grover's search algorithm in quantum computing gives an optimal, square-root speedupin the search for a single object in a large unsorted database. In this paper, we expound...
PART II: QUASIMONOTONE ITERATION (2008)
Goong Chen, Yuanhua Deng, Wei-ming Ni, Jianxin Zhou
Abstract. Numerical solutions of 2 × 2 semilinear systems of elliptic boundary value problems, whose nonlinearities are of quasimonotone nondecreasing, quasimonotone nonincreasing, or mixed...
Grover's Algorithm for Multiobject Search in Quantum Computing (2007)
Goong Chen, Stephen A. Fulling, Marlan O. Scully
L. K. Grover's search algorithm in quantum computing gives an optimal, square-root speedup in the search for a single object in a large unsorted database. In this paper, we expound Grover's...
Control of Nonlinear Distributed Parameter Systems (2007)
Goong Chen, Irena Lasiecka, Jianxin Zhou (eds.)
The control with respect to the domain is inherently not linear due to the non linear structure of the set of domains. In this paper we investigate the weak shape di#erentiability of the solution to...
Contemporary Mathematics A Note on the Elliptic Sine-Gordon Equation (2007)
Goong Chen, Zhonghai Ding, Chia-ren Hu, Wei-ming Ni
Abstract. The elliptic sine-Gordon equation originates from the static case of the hyperbolic sine-Gordon equation modeling the Josephson junction in superconductivity. However, the elliptic...
Goong Chen, Berthold G. Englert, Jianxin Zhou
Proof of convergence for iterative schemes for finding unstable solutions of semi-linear elliptic boundary value problems is an arduous task. In perspective is a special iterative algorithm using the...
Goong Chen, Jianxin Zhou, Wei-ming Ni
In this paper, we compute and visualize solutions of several major types of semilinear elliptic boundary value problems with a homogeneous Dirichlet boundary condition in 2D. We present the...
Nonlinear Boundary Feedback Control of the One-Dimensional Wave Equation (2007)
Goong Chen, Tingwen Huang, Sze-bi Hsu
In this paper, we analyze the dynamical behavior of the linear wave equation on an interval, where the right endpoint has a van der Pol type nonlinearity or boundary controller, while the left...
The two electron molecular bond revisited: from Bohr orbits to two-center orbitals (2005)
Chen, Goong, Chin, Siu A., Dou, Yusheng, Kapale, Kishore T., Kim, Moochan, Svidzinsky, Anatoly A., ...
In this review we first discuss extension of Bohr's 1913 molecular model and show that it corresponds to the large-D limit of a dimensional scaling (D-scaling) analysis, as developed by Herschbach...
The Two Electron Molecular Bond Revisited: From Bohr Orbits to Two-Center Orbitals (2005)
Chen,Goong, Chin,Siu A., Dou,Yusheng, Kapale,Kishore T., Kim,Moochan, Svidzinsky,Anatoly A., ...
Pointwise Stabilization for Coupled Quasilinear and Linear Wave Equations. (2005)
A large structure is formed by the coupling of simple structural elements. This paper considers the simplest type of such structures which is made up of two coupled strings modelled by quasilinear or...
Stabilization and Control Problems in Structural Dynamics. (2005)
Drs. G. Chen and J. Zhou investigated various problems in the analysis, control, optimization and computation of structural mechanical systems and partial differential equations. Three monographs...
The Two Electron Molecular Bond Revisited: From Bohr Orbits to Two-Center Orbitals (2005)
Chen, Goong, Chin, Siu A., Dou, Yusheng, Kapale, Kishore T., Kim, Moochan, Svidzinsky, Anatoly A., ...
Stabilization and Control Problems in Structural Dynamics. (2002)
Progress on the research of control and stabilization problems in structural dynamics. Primary emphases were on the modelling, designs, placements and analysis of stabilizers and controllers. Two...
Control of Nonlinear Distribuited Parameter Systems (2001)
Chen, Goong (ed.), Lasiecka, Irena (ed.), Zhou, Jianxin (ed.)
Recopilación de conferencias, Avances en control de sistemas no lineales con parámetros distribuidos. Aborda matemáticas aplicadas a la ingeniería civil, la robótica y otras areas de...
Control of Nonlinear Distribuited Parameter Systems / Ed. de G. Chen, I. Lasiecka, J. Zhou. (2001)
Chen, Goong (ed.), Lasiecka, Irena (ed.), Zhou, Jianxin (ed.)
Recopilación de conferencias, Avances en control de sistemas no lineales con parámetros distribuidos. Aborda matemáticas aplicadas a la ingeniería civil, la robótica y otras areas de...
An Exponentially Fast Quantum Search Algorithm (2000)
This paper has been withdrawn by the authors.
Quantum Multi-object Search Algorithm with the Availability of Partial Information (2000)
Consider the unstructured search of an unknown number l of items in a large unsorted database of size N. The multi-object quantum search algorithm consists of two parts. The first part of the...
Bowden, Charles M., Chen, Goong, Diao, Zijian, Klappenecker, Andreas
The quantum Fourier transform (QFT) is a powerful tool in quantum computing. The main ingredients of QFT are formed by the Walsh-Hadamard transform H and phase shifts P(.), both of which are 2x2...
Chen, Goong, Fulling, Stephen A., Chen, Jeesen
L. K. Grover's search algorithm in quantum computing gives an optimal, quadratic speedup in the search for a single object in a large unsorted database. In this paper, we generalize Grover's...
There are major advantages in a newer version of Grover's quantum algorithm utilizing a general unitary transformation in the search of a single object in a large unsorted database. In this paper, we...
Stabilization and Control Problems in Structural Dynamics. (1998)
The most significant research progress and accomplishment in our project is on the modelling, analysis and designs of stabilizing joints for coupled structures. In a series of papers, we have studied...
The boundary element methods are studied for a variety of partial differential equations in optics and elasticity, including the Helmholtz equation on an exterior domain, the eigenvalue problem for...
Yuanhua Deng, Goong Chen, Wei-ming Ni, Jianxin Zhou
Abstract. The monotone iteration scheme is a constructive method for solving a wide class of semilinear elliptic boundary value problems. With the availability of a supersolution and a subsolution,...