Research Output 1987 2020

1987
13 Citations (Scopus)

PARALLEL WAVEFORM-NEWTON ALGORITHMS FOR CIRCUIT SIMULATION.

Saleh, R. A., Webber, D., Xia, E. & Sangiovanni-Vincentelli, A., 1987 Dec 1, Unknown Host Publication Title. IEEE, p. 660-663 4 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Circuit simulation
Newton-Raphson method
Parallel algorithms
1990
21 Citations (Scopus)

Neumann eigenvalue estimate on a compact riemannian manifold

Chen, R., 1990 Apr, In : Proceedings of the American Mathematical Society. 108, 4, p. 961-970 10 p.

Research output: Contribution to journalArticle

Eigenvalue Estimates
Compact Manifold
Riemannian Manifold
Lower bound
Eigenvalue

ON THE EXISTENCE OF POSITIVE SOLUTIONS OF A SEMI-LINEAR ELLIPTIC EQUATION IN R n

CHANG, CHIU-CHUN. & Fang, Y-F., 1990 Dec, In : Taiwanese Journal of Mathematics. 18, 4, p. 353-364

Research output: Contribution to journalArticle

972 Citations (Scopus)

The runge-kuttal ocal projection discontinuous galerkin finite element method for conservation laws iv: The multidimensional case

Cockburn, B., Hou, S. & Shu, C. W., 1990 Apr, In : Mathematics of Computation. 54, 190, p. 545-581 37 p.

Research output: Contribution to journalArticle

Discontinuous Galerkin Finite Element Method
Maximum principle
Triangulation
Galerkin methods
Conservation Laws
1992
3 Citations (Scopus)

Insights into the interior-point methods

Sheu, R-L. & Fang, S. C., 1992 May 1, In : ZOR Zeitschrift für Operations Research Methods and Models of Operations Research. 36, 3, p. 227-257 31 p.

Research output: Contribution to journalArticle

Interior Point Method
Logarithmic Barrier Function
Interior-point Algorithm
Affine Scaling
Primal-dual Interior Point Method

On Nonisomorphic BIBD with Identical Parameters

Ke, W-F., 1992 Jan 1, In : Annals of Discrete Mathematics. 52, C, p. 337-346 10 p.

Research output: Contribution to journalArticle

Automorphism Group
Assign
Isomorphic
Class
5 Citations (Scopus)

Parallel waveform-Newton algorithms for circuit simulation

Xia, E. Z. & Saleh, R. A., 1992 Apr 1, In : IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 11, 4, p. 432-442

Research output: Contribution to journalArticle

REMARKS ON THE EXISTENCE OF POSITIVE SOLUTIONS OF SEMI-LINEAR ELLIPTIC EQUATIONS IN R n

CHANG, CHIU-CHUN. & Fang, Y-F., 1992 Mar, In : Taiwanese Journal of Mathematics. 20, 1, p. 69-77

Research output: Contribution to journalArticle

1993
65 Citations (Scopus)

Existence of solutions of semilinear elliptic problems on unbounded domains

Lien, W-C., Tzeng, S. Y. & Wang, H. C., 1993 Jan 1, In : Differential and Integral Equations. 6, 6, p. 1281-1298 18 p.

Research output: Contribution to journalArticle

Semilinear Elliptic Problem
Unbounded Domain
Existence of Solutions
Class

On the Relationship of Interior-Point Methods

Sheu, R. L. & Fang, S. C., 1993 Jan 1, In : International Journal of Mathematics and Mathematical Sciences. 16, 3, p. 565-572 8 p.

Research output: Contribution to journalArticle

Affine Scaling
Interior Point Method
Logarithmic Barrier Function
Primal-dual Method
Primal-dual Interior Point Method
1994
4 Citations (Scopus)

Automorphisms of certain design groups

Ke, W. F. & Kiechle, H., 1994 Jul 15, In : Journal of Algebra. 167, 2, p. 488-500 13 p.

Research output: Contribution to journalArticle

Automorphisms
Design
2 Citations (Scopus)

On the generalized path-following methods for linear programming

Sheu, R-L. & Fang, S. C., 1994 Jan 1, In : Optimization. 30, 3, p. 235-249 15 p.

Research output: Contribution to journalArticle

Path-following Methods
Path Following
Linear programming
Path-following Algorithm
Barrier Function
1995
6 Citations (Scopus)

A primal-dual infeasible-interior-point algorithm for linear semi-infinite programming

Sheu, R-L., Wu, S. Y. & Fang, S. C., 1995 Jan 1, In : Computers and Mathematics with Applications. 29, 8, p. 7-18 12 p.

Research output: Contribution to journalArticle

Linear Semi-infinite Programming
Interior-point Algorithm
Primal-dual
Infeasible Interior Point Method
Computational efficiency

Continuation Methods for Solving Modified Discrete-Time Algebraic Riccati Equations

Lin, W. W., Wang, C-S. & Han, C. H., 1995 Jan 1, In : IEEE Transactions on Automatic Control. 40, 5, p. 920-924 5 p.

Research output: Contribution to journalArticle

Riccati equations
Numerical methods
Polynomials
3 Citations (Scopus)

Nearring Multiplications on Groups

Beidar, K., Ke, W. F. & Liang, S. Y., 1995 Jan, In : Communications in Algebra. 23, 3, p. 999-1015 17 p.

Research output: Contribution to journalArticle

Near-ring
Multiplication
Centralizer
Model Theory
Endomorphism
15 Citations (Scopus)

Nonequivalence deflation for the solution of matrix latent value problems

Guo, J. S., Lin, W. W. & Wang, C-S., 1995 Jan 1, In : Linear Algebra and Its Applications. 231, 1, p. 15-45 31 p.

Research output: Contribution to journalArticle

Deflation
Newton-Raphson method
Latent Root
Matrix Function
Newton Methods
20 Citations (Scopus)

Numerical solutions for large sparse quadratic eigenvalue problems

Guo, J. S., Lin, W. W. & Wang, C. S., 1995 Aug, In : Linear Algebra and Its Applications. 225, C, p. 57-89 33 p.

Research output: Contribution to journalArticle

Quadratic Eigenvalue Problem
Numerical Solution
Iterative methods
Eigenvalue
Eigenvalues and eigenfunctions

On arithmetical varieties of near-rings

Fong, Y., Kaarli, K. & Ke, W. F., 1995 May 1, In : Archiv der Mathematik. 64, 5, p. 385-392 8 p.

Research output: Contribution to journalArticle

Near-ring

On Minimal Generating Sets of E(Dn), A(Dn) and I(Dn) with Even n

Fong, Y., Huang, F. K. & Ke, W-F., 1995 Jan 1, In : Results in Mathematics. 28, 1, p. 53-62 10 p.

Research output: Contribution to journalArticle

Generating Set
Minimal Set
Identity mapping
Automorphisms
Near-ring
5 Citations (Scopus)

On the solutions of the equationc xm+ym − zm = l in a finite field

Ke, W. F. & Kiechle, H., 1995 May, In : Proceedings of the American Mathematical Society. 123, 5, p. 1331-1339 9 p.

Research output: Contribution to journalArticle

Number of Solutions
Galois field
Explicit Formula
1996
1 Citation (Scopus)

Apriori estimates for the 2-D wave equation

Fang, Y. F. & Grillakis, M. G., 1996 Dec 1, In : Communications in Partial Differential Equations. 21, 9-10, p. 1643-1665 23 p.

Research output: Contribution to journalArticle

Wave equations
Wave equation
Estimate
3 Citations (Scopus)

Combinatorial properties of ring generated circular planar nearrings

Ke, W. F. & Kiechle, H., 1996 Jan 1, In : Journal of Combinatorial Theory. Series A. 73, 2, p. 286-301 16 p.

Research output: Contribution to journalArticle

Near-ring
Ring
2 Citations (Scopus)

Compactness of isospectral conformal metrics and isospectral potentials on a 4-manifold

Chen, R. R-C. & Xu, X., 1996 Jul 1, In : Duke Mathematical Journal. 84, 1, p. 131-154 24 p.

Research output: Contribution to journalArticle

Conformal Metric
4-manifold
Compactness
42 Citations (Scopus)

Existence and uniqueness for boussinesq type equations on a circle

Fang, Y-F. & Grillakis, M. G., 1996 Jan 1, In : Communications in Partial Differential Equations. 21, 7-8, p. 1253-1277 25 p.

Research output: Contribution to journalArticle

Local Existence
Fourier series
Global Existence
Existence Results
Circle
3 Citations (Scopus)

On finite circular planar nearrings

Beidar, K., Fong, Y. & Ke, W. F., 1996 Nov 1, In : Journal of Algebra. 185, 3, p. 688-709 22 p.

Research output: Contribution to journalArticle

Near-ring
Free Group
Automorphisms
Fixed point
1997
27 Citations (Scopus)

A kinetic beam scheme for relativistic gas dynamics

Yang, J. Y., Chen, M. H., Tsai, I. N. & Chang, J. W., 1997 Sep 1, In : Journal of Computational Physics. 136, 1, p. 19-40 22 p.

Research output: Contribution to journalArticle

Gas dynamics
gas dynamics
Sanders
Kelvin-Helmholtz instability
Kinetics
10 Citations (Scopus)

Components of Hom(π1, PGL(2, R))

Xia, E. Z., 1997 Mar 1, In : Quantum Topology. 36, 2, p. 481-499

Research output: Contribution to journalArticle

1 Citation (Scopus)

Counting f such that f o g = g o f

Bouchard, P., Fong, Y., Ke, W-F. & Yeh, Y. N., 1997 Mar 1, In : Results in Mathematics. 31, 1-2, p. 14-27 14 p.

Research output: Contribution to journalArticle

Counting
Endomorphisms
Commute
Finite Set
24 Citations (Scopus)

Duality for fractional minimax programming

Liu, J. C., Wu, C. S. & Sheu, R-L., 1997 Jan 1, In : Optimization. 41, 2, p. 117-133 17 p.

Research output: Contribution to journalArticle

Generalized Convex Functions
Kuhn-Tucker Conditions
Quasiconvex Functions
Fractional Programming
Pseudoconvex

Gap estimates of Schrödinger operator

Chen, R., 1997 Apr, In : Pacific Journal of Mathematics. 178, 2, p. 225-240 16 p.

Research output: Contribution to journalArticle

Eigenfunctions
Moser Iteration
Operator
Neumann Boundary Conditions
Estimate
7 Citations (Scopus)

On computing stable Lagrangian subspaces of Hamiltonian matrices and symplectic pencils

Lin, W. W. & Wang, C. S., 1997 Jul, In : SIAM Journal on Matrix Analysis and Applications. 18, 3, p. 590-614 25 p.

Research output: Contribution to journalArticle

Hamiltonian Matrix
Subspace
Computing
Eigenvalue
Linear Quadratic Control
12 Citations (Scopus)

On poincaré type inequalities

Chen, R. & Peter, L. I., 1997 Dec 1, In : Transactions of the American Mathematical Society. 349, 4, p. 1561-1585 25 p.

Research output: Contribution to journalArticle

Heat Kernel
Stars
Star
Lower bound
Eigenvalue
11 Citations (Scopus)

Optimality and duality for complex nondifferentiable fractional programming

Liu, J. C., Lin, C. C. & Sheu, R-L., 1997 Jun 15, In : Journal of Mathematical Analysis and Applications. 210, 2, p. 804-824 21 p.

Research output: Contribution to journalArticle

Nondifferentiable Programming
Fractional Programming
Optimality
Duality
Generalized Convex Functions
1 Citation (Scopus)

Structure-preserving Lanczos-type algorithm with application to control problems

Ferng, W. R., Lin, W. W. & Wang, C-S., 1997 Dec 1, In : Proceedings of the IEEE Conference on Decision and Control. 4, p. 3855-3860 6 p.

Research output: Contribution to journalConference article

Hamiltonians
Lanczos
Continuous Time
Control Problem
Lanczos Algorithm
18 Citations (Scopus)

The shift-inverted J-Lanczos algorithm for the numerical solutions of large sparse algebraic Riccati equations

Ferng, W. R., Lin, W. W. & Wang, C-S., 1997 Jan 1, In : Computers and Mathematics with Applications. 33, 10, p. 23-40 18 p.

Research output: Contribution to journalArticle

Lanczos Algorithm
Algebraic Riccati Equation
Riccati equations
Hamiltonian Matrix
Numerical Solution
1998
7 Citations (Scopus)

On Complemented Radicals

Beidar, K. I., Fong, Y. & Ke, W. F., 1998 Mar 1, In : Journal of Algebra. 201, 1, p. 328-356 29 p.

Research output: Contribution to journalArticle

Semisimple
Ring
Direct Sum
Finitely Generated
Cover

On global Schrödinger kernel estimate and eigenvalue problem

Chen, R., 1998 Jan, In : Mathematische Zeitschrift. 227, 1, p. 69-81 13 p.

Research output: Contribution to journalArticle

Kernel Estimate
Schrödinger
Eigenvalue Problem
10 Citations (Scopus)

Ruled manifolds with constant Hermitian scalar curvature

Hong, Y. J., 1998 Jan 1, In : Mathematical Research Letters. 5, 5, p. 657-673 17 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Synchronization in a lattice of coupled van der Pol systems

Chiu, C. H., Lin, W. W. & Wang, C. S., 1998 Dec, In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 8, 12, p. 2353-2373 21 p.

Research output: Contribution to journalArticle

Synchronization
Coefficient
Dirichlet Boundary Conditions
Boundary conditions
Numerical Simulation
1999

Acoustical study of syllables of Mandarin speech

Shen, S-Y., Wu, J. & Lin, H. C., 1999 Dec 1, In : International Journal of Speech Technology. 3, 1, p. 27-34 8 p.

Research output: Contribution to journalArticle

Acoustic waves
Speech analysis
Fourier series
phonetics
experiment
3 Citations (Scopus)
Path-following Methods
Min-max Problem
Linear Constraints
Regularization
Interior Point Method
21 Citations (Scopus)

Constant hermitian scalar curvature equations on ruled manifolds

Hong, Y. J., 1999 Jan 1, In : Journal of Differential Geometry. 53, 3, p. 465-516 52 p.

Research output: Contribution to journalArticle

Scalar Curvature
2 Citations (Scopus)

Harmonic Maps into the Moduli Spaces of Flat Connections

Hong, Y-J., 1999 Jan 1, In : Annals of Global Analysis and Geometry. 17, 5, p. 441-473 33 p.

Research output: Contribution to journalArticle

Flat Connection
Harmonic Maps
Moduli Space
Yang-Mills
Tend
16 Citations (Scopus)

Hyperbolic conservation laws with a moving source

Lien, W-C., 1999 Jan 1, In : Communications on Pure and Applied Mathematics. 52, 9, p. 1075-1098 24 p.

Research output: Contribution to journalArticle

Hyperbolic Conservation Laws
Conservation
Shock Waves
Shock waves
Glimm Scheme
47 Citations (Scopus)

Nonlinear stability of a self-similar 3-dimensional gas flow

Lien, W-C. & Liu, T. P., 1999 Jan 1, In : Communications in Mathematical Physics. 204, 3, p. 525-549 25 p.

Research output: Contribution to journalArticle

Nonlinear Stability
Gas Flow
gas flow
Supersonic Flow
Nonlinear Interaction
8 Citations (Scopus)

Numerical algorithms for undamped gyroscopic systems

Ferng, W. R., Lin, W. W. & Wang, C-S., 1999 Jan 1, In : Computers and Mathematics with Applications. 37, 1, p. 49-66 18 p.

Research output: Contribution to journalArticle

Numerical Algorithms
Lanczos Algorithm
Skew
Quadratic Eigenvalue Problem
Lanczos
37 Citations (Scopus)

Numerical study of inverse heat conduction problems

Shen, S. Y., 1999 Oct, In : Computers and Mathematics with Applications. 38, 7, p. 173-188 16 p.

Research output: Contribution to journalArticle

Inverse Heat Conduction Problem
Heat conduction
Numerical Study
Collocation Method
Singular value decomposition

On Heat Kernel Comparison Theorems

Chen, R., 1999 Jun 20, In : Journal of Functional Analysis. 165, 1, p. 59-79 21 p.

Research output: Contribution to journalArticle

Heat Kernel
Comparison Theorem
Minimal Submanifolds
Space Form
Symmetric Spaces
2 Citations (Scopus)

On semi-endomorphisms of groups

Beidar, K. I., Fong, Y., Ke, W. F. & Wu, W. R., 1999 Dec 1, In : Communications in Algebra. 27, 5, p. 2193-2205 13 p.

Research output: Contribution to journalArticle

Endomorphism
Endomorphisms
Near-ring
Automorphism
Finite Simple Group
3 Citations (Scopus)

On the computation of the optimal H norms for two feedback control problems

Lin, W. W., Wang, C-S. & Xu, Q. F., 1999 Jan 15, In : Linear Algebra and Its Applications. 287, 1-3, p. 223-255 33 p.

Research output: Contribution to journalArticle

State feedback
State Feedback
Feedback Control
Feedback control
Control Problem