Research Output 1987 2020

2016
1 Citation (Scopus)

The fourth-order nonlinear Schrödinger limit for quantum Zakharov system

Fang, Y. F., Lin, C. K. & Segata, J. I., 2016 Dec 1, In : Zeitschrift fur Angewandte Mathematik und Physik. 67, 6, 145.

Research output: Contribution to journalArticle

Quantum Systems
Fourth Order
Acoustic wave velocity
Modified Equations
Nonlinear equations
5 Citations (Scopus)

Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate

Francini, E., Lin, C. L., Vessella, S. & Wang, J. N., 2016 Nov 15, In : Journal of Differential Equations. 261, 10, p. 5306-5323 18 p.

Research output: Contribution to journalArticle

Second Order Elliptic Equations
Discontinuous Coefficients
Estimate
Carleman Estimate
Jump
7 Citations (Scopus)

Unique continuation property for anomalous slow diffusion equation

Lin, C. L. & Nakamura, G., 2016 May 3, In : Communications in Partial Differential Equations. 41, 5, p. 749-758 10 p.

Research output: Contribution to journalArticle

Unique Continuation
Anomalous Diffusion
Diffusion equation
Anomalous
Carleman Estimate
2015
1 Citation (Scopus)

A hybrid finite difference method for pricing two-asset double barrier options

Hsiao, Y. L., Shen, S. Y. & Wang, A. M. L., 2015, In : Mathematical Problems in Engineering. 2015, 692695.

Research output: Contribution to journalArticle

Barrier Options
Finite difference method
Difference Method
Pricing
Finite Difference
3 Citations (Scopus)

An algorithm for constructing nonnegative matrices with prescribed real eigenvalues

Lin, M. M., 2015 Apr 1, In : Applied Mathematics and Computation. 256, p. 582-590 9 p.

Research output: Contribution to journalArticle

Inverse Eigenvalue Problem
Nonnegative Matrices
Eigenvalue
Symmetric matrix
Stochastic Matrix
2 Citations (Scopus)

A note on Sylvester-type equations

Lin, M. M. & Chiang, C. Y., 2015 May 1, In : Journal of the Franklin Institute. 352, 5, p. 2171-2186 16 p.

Research output: Contribution to journalArticle

Sylvester Matrix Equation
Subspace
Sylvester Equation
Matrix Pencil
Generalized Eigenvalue Problem
4 Citations (Scopus)
Tangent Bundle
Projective Variety
Simplicity
Ring of Differential Operators
Ring
3 Citations (Scopus)

Canonical dual solutions to quadratic optimization over one quadratic constraint

Xing, W., Fang, S. C., Sheu, R. L. & Zhang, L., 2015 Feb 25, In : Asia-Pacific Journal of Operational Research. 32, 1, 1540007.

Research output: Contribution to journalArticle

Optimization problem
Error bounds
Quadratic programming
Objective function
16 Citations (Scopus)
Rayleigh distribution
estimators
Ultrasonography
statistics
liver
2 Citations (Scopus)

Equilibrating Effect of Maxwell-Type Boundary Condition in Highly Rarefied Gas

Kuo, H. W., 2015 Nov 1, In : Journal of Statistical Physics. 161, 3, p. 743-800 58 p.

Research output: Contribution to journalArticle

Rarefied Gas
rarefied gases
boundary conditions
Boundary conditions
Collision
3 Citations (Scopus)

High-order conservative asymptotic-preserving schemes for modeling rarefied gas dynamical flows with boltzmann-BGK equation

Diaz, M. A., Chen, M-H. & Yang, J. Y., 2015 Oct 15, In : Communications in Computational Physics. 18, 4, p. 1012-1049 38 p.

Research output: Contribution to journalArticle

rarefied gases
preserving
gas flow
BGK model
quadratures
2 Citations (Scopus)

Inverse scattering problem from an impedance crack via a composite method

Lee, K-M., 2015 Jul 1, In : Wave Motion. 56, p. 43-51 9 p.

Research output: Contribution to journalArticle

inverse scattering
cracks
impedance
composite materials
far fields
1 Citation (Scopus)

Maximal 2-local subgroups of F4(q) and E6η(q)

An, J. & Huang, S-C., 2015 Jan 1, In : Journal of Pure and Applied Algebra. 219, 1, p. 101-120 20 p.

Research output: Contribution to journalArticle

Finite Group
Odd
Classify
Subgroup

Monotone quantities involving a weighted σk integral along inverse curvature flows

Kwong, K-K. & Miao, P., 2015 Oct 1, In : Communications in Contemporary Mathematics. 17, 5, 1550014.

Research output: Contribution to journalArticle

Geometric Inequalities
Curvature Flow
Positive Curvature
Smooth Solution
Mean Curvature
1 Citation (Scopus)

Multi-scaling limits for relativistic diffusion equations with random initial data

Liu, G. R. & Shieh, N. R., 2015 Jan 1, In : Transactions of the American Mathematical Society. 367, 5, p. 3423-3446 24 p.

Research output: Contribution to journalArticle

Multiscaling
Scaling Limit
Diffusion equation
Scaling
Rescaling
2 Citations (Scopus)

Nonlinear stability of the Boltzmann equation in a periodic box

Wu, K. C., 2015 Jan 1, In : Journal of Mathematical Physics. 56, 8, 1 p.

Research output: Contribution to journalArticle

Knudsen number
Nonlinear Stability
Boltzmann Equation
boxes
Knudsen flow
4 Citations (Scopus)

On isometric embeddings into anti-de sitter spacetimes

Lin, C. Y. & Wang, Y. K., 2015 Jan 1, In : International Mathematics Research Notices. 2015, 16, p. 7130-7161 32 p.

Research output: Contribution to journalArticle

Isometric Embedding
Space-time
Gauss Curvature
Metric
Hyperbolic Space

On some simple examples of non-parabolic curve flows in the plane

Lin, Y. C., Tsai, D. H. & Wang, X. L., 2015 Dec 1, In : Journal of Evolution Equations. 15, 4, p. 817-845 29 p.

Research output: Contribution to journalArticle

Curve
Convex Curve
Closed curve
Gauge
Curvature

On the finite rank and finite-dimensional representation of bounded semi-infinite Hankel operators

Chu, M. T. & Lin, M. M., 2015 Jan 1, In : IMA Journal of Numerical Analysis. 35, 3, p. 1256-1276 21 p.

Research output: Contribution to journalReview article

Hankel Operator
Hankel Matrix
Infinite Matrices
Finite Rank
Singular Values
10 Citations (Scopus)

Optimal threshold policy for in-home smart grid with renewable generation integration

Liu, G. R., Lin, P., Fang, Y. & Lin, Y. B., 2015 Apr 1, In : IEEE Transactions on Parallel and Distributed Systems. 26, 4, p. 1096-1105 10 p., 6797861.

Research output: Contribution to journalArticle

Electricity
Domestic appliances
Costs
Analytical models
1 Citation (Scopus)

Pointwise Description for the Linearized Fokker–Planck–Boltzmann Model

Wu, K. C., 2015 Sep 1, In : Journal of Statistical Physics. 160, 5, p. 1277-1293 17 p.

Research output: Contribution to journalArticle

decay rates
Kinetics
kinetics
theorems
Decay Rate
20 Citations (Scopus)

The brundan-kazhdan-lusztig conjecture for general linear lie superalgebras

Cheng, S. J., Lam, N. & Wang, W., 2015 Jan 1, In : Duke Mathematical Journal. 164, 4, p. 617-695 79 p.

Research output: Contribution to journalArticle

Lie Superalgebra
Tilting Modules
Canonical Basis
Irreducible Module
Fock Space
1 Citation (Scopus)

The enclosure method for the anisotropic maxwell system

Kuan, R., Lin, Y. H. & Sini, M., 2015 Jan 1, In : SIAM Journal on Mathematical Analysis. 47, 5, p. 3488-3527 40 p.

Research output: Contribution to journalArticle

Oscillating Solutions
Maxwell System
Anisotropic Media
Enclosure
Enclosures
1 Downloads (Pure)

The moduli space of S1-type zero loci for Z/2-harmonic spinors in dimension 3

Takahashi, R., 2015 Mar 2, In : Ph.D. Thesis.

Research output: Contribution to journalArticle

File
2 Citations (Scopus)

The supporting hyperplane and an alternative to solutions of variational inequalities

Nguyen, H. Q. & Xu, H. K., 2015 Jan 1, In : Journal of Nonlinear and Convex Analysis. 16, 11, p. 2323-2331 9 p.

Research output: Contribution to journalArticle

Alternative Theorems
Hilbert spaces
Level Set
Hyperplane
Convex Sets
11 Citations (Scopus)

Towards the Jacquet conjecture on the Local Converse Problem for p-adic GLn

Jiang, D., Nien, C. & Stevens, S., 2015 Jan 1, In : Journal of the European Mathematical Society. 17, 4, p. 991-1007 17 p.

Research output: Contribution to journalArticle

P-adic
Converse
Isomorphism Classes
Local Field
Irreducible Representation
1 Citation (Scopus)

Weierstrass cycles and tautological rings in various moduli spaces of algebraic curves

Liou, J. M. F., Schwarz, A. & Xu, R., 2015 Jul 1, In : Journal of Fixed Point Theory and Applications. 17, 1, p. 209-219 11 p.

Research output: Contribution to journalArticle

Algebraic curve
Moduli Space
Genus
Moduli Space of Curves
Ring
2014
5 Citations (Scopus)

Accurate gradient approximation for complex interface problems in 3D by an improved coupling interface method

Shu, Y-C., Chern, I. L. & Chang, C. C., 2014 Oct 15, In : Journal of Computational Physics. 275, p. 642-661 20 p.

Research output: Contribution to journalArticle

Derivatives
gradients
approximation
Interpolation
ghosts
2 Citations (Scopus)
Ricci Flow
Euclidean
Metric
17 Citations (Scopus)

An Asymptotic Limit of a Navier-Stokes System with Capillary Effects

Jüngel, A., Lin, C. K. & Wu, K. C., 2014 Jul, In : Communications in Mathematical Physics. 329, 2, p. 725-744 20 p.

Research output: Contribution to journalArticle

Navier-Stokes System
Asymptotic Limit
Density-dependent Viscosity
Quasi-geostrophic Equations
Coriolis Force
10 Citations (Scopus)

A new monotone quantity along the inverse mean curvature flow in ℝn

Kwong, K. K. & Miao, P., 2014 Jan 1, In : Pacific Journal of Mathematics. 267, 2, p. 417-422 6 p.

Research output: Contribution to journalArticle

Mean Curvature Flow
Hypersurface
Monotone
Geometric Inequalities
Sharp Inequality
11 Citations (Scopus)

A proof of the finite field analogue of Jacquet's conjecture

Nien, C., 2014 Jan 1, In : American Journal of Mathematics. 136, 3, p. 653-674 22 p.

Research output: Contribution to journalArticle

Galois field
Denote
Analogue
General Linear Group
Irreducible Representation
6 Citations (Scopus)

A study of singular spectrum analysis with global optimization techniques

Chu, M. T., Lin, M. M. & Wang, L., 2014 Jan 1, In : Journal of Global Optimization. 60, 3, p. 551-574 24 p.

Research output: Contribution to journalArticle

Singular Spectrum Analysis
Global optimization
Spectrum analysis
Global Optimization
Optimization Techniques

Asymptotic behavior of the isoperimetric deficit for expanding convex plane curves

Lin, Y-C. & Tsai, D. H., 2014 Jan 1, In : Journal of Evolution Equations. 14, 4-5, p. 779-794 16 p.

Research output: Contribution to journalArticle

Convex Curve
Isoperimetric
Plane Curve
Asymptotic Behavior
Curve
2 Citations (Scopus)

Cartier modules on toric varieties

Hsiao, J. C., Schwede, K. & Zhang, W., 2014 Jan 30, In : Transactions of the American Mathematical Society. 366, 4, p. 1773-1795 23 p.

Research output: Contribution to journalArticle

Toric Varieties
Algebra
Module
Toric Ideal
Divisible
3 Citations (Scopus)
rotating cylinders
viscous fluids
Viscous Fluid
Incompressible Fluid
Rotating

Congruences of finite summations of the coeffcients in certain generating functions

Huang, P. Y., Liu, S. C. & Yeh, Y. N., 2014 Jun 9, In : Electronic Journal of Combinatorics. 21, 2

Research output: Contribution to journalArticle

Summation
Congruence
Generating Function
Integer
Odd
2 Citations (Scopus)

Dynamics of Abelian Vortices Without Common Zeros in the Adiabatic Limit

Liu, C. C., 2014 Jul, In : Communications in Mathematical Physics. 329, 1, p. 169-206 38 p.

Research output: Contribution to journalArticle

Vortex
Correspondence
vortices
set theory
Zero
5 Citations (Scopus)

Equilibrating Effects of Boundary and Collision in Rarefied Gases

Kuo, H. W., Liu, T. P. & Tsai, L. C., 2014 Jun, In : Communications in Mathematical Physics. 328, 2, p. 421-480 60 p.

Research output: Contribution to journalArticle

Rarefied Gas
rarefied gases
Boltzmann Equation
Collision
Knudsen number
Coloring
Polynomials
14 Citations (Scopus)

Global in time estimates for the spatially homogeneous Landau equation with soft potentials

Wu, K-C., 2014 Mar 1, In : Journal of Functional Analysis. 266, 5, p. 3134-3155 22 p.

Research output: Contribution to journalArticle

Landau Equation
Estimate
Global Well-posedness
A Priori Estimates
Weak Solution
4 Citations (Scopus)

Influence analysis in response surface methodology

Huang, Y. & Hsieh, C. Y., 2014 Apr 1, In : Journal of Statistical Planning and Inference. 147, p. 188-203 16 p.

Research output: Contribution to journalArticle

Influence Analysis
Response Surface Methodology
Perturbation
Influence Function
Data Modeling
1 Citation (Scopus)

Influence analysis on crossover design experiment in bioequivalence studies

Huang, Y. & Ke, B. S., 2014 Mar 1, In : Pharmaceutical Statistics. 13, 2, p. 110-118 9 p.

Research output: Contribution to journalArticle

Bioequivalence
Influence Analysis
Crossover Design
Therapeutic Equivalency
Cross-Over Studies

Inverse scattering problem from an impedance obstacle via two-steps method

Lee, K. M., 2014 Oct 1, In : Journal of Computational Physics. 274, p. 182-190 9 p.

Research output: Contribution to journalArticle

inverse scattering
Inverse problems
impedance
Scattering
Boundary integral equations
1 Citation (Scopus)

Low Froude number limit of the rotating shallow water and Euler equations

Wu, K. C., 2014 Jan 15, In : Proceedings of the American Mathematical Society. 142, 3, p. 939-947 9 p.

Research output: Contribution to journalArticle

Froude number
Euler equations
Shallow Water Equations
Euler Equations
Lakes
1 Citation (Scopus)

Nonlinear stability of spherical self-similar flows to the compressible Euler equations

Ha, S. Y., Huang, H. C. & Lien, W. C., 2014 Mar 1, In : Quarterly of Applied Mathematics. 72, 1, p. 109-136 28 p.

Research output: Contribution to journalArticle

Compressible Euler Equations
Euler equations
Nonlinear Stability
Pistons
Shock
3 Citations (Scopus)

Nonnegative rank factorization—a heuristic approach via rank reduction

Dong, B., Lin, M. M. & Chu, M. T., 2014 Feb 1, In : Numerical Algorithms. 65, 2, p. 251-274 24 p.

Research output: Contribution to journalArticle

Rank Reduction
Factorization
Non-negative
Heuristics
Completely Positive Matrices
1 Citation (Scopus)

Numerical methods for solving nonnegative inverse singular value problems with prescribed structure

Wu, S. J. & Lin, M. M., 2014 May, In : Inverse Problems. 30, 5, 055008.

Research output: Contribution to journalArticle

Singular Values
Numerical methods
Non-negative
Numerical Methods
Alternating Projections
7 Citations (Scopus)

Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic

Chiang, R., Ding, F. & van Koert, O., 2014, In : Journal of Symplectic Geometry. 12, 2, p. 379-426 48 p.

Research output: Contribution to journalArticle

Dehn Twist
Contact Manifold
Euler Characteristic
Bundle
Monodromy
10 Citations (Scopus)

Optimal scheduling for highway emergency repairs under large-scale supply-demand perturbations

Yan, S., Chu, J. C. & Shih, Y-L., 2014 Dec 1, In : IEEE Transactions on Intelligent Transportation Systems. 15, 6, p. 2378-2393 16 p., 0001.

Research output: Contribution to journalArticle

Repair
Scheduling
Heuristic algorithms
Disasters
Computational complexity