Tzu-Chu Lin
- Professor Emeritus, Mathematical Sciences
Selected Publications
Kleefeld, Andreas, and Lin, Tzu-Chu. “A global Galerkin method for solving the exterior Neumann problem for Helmholtz's equation using Panich's integral equation approach” Society of Industrial and Applied Mathematics (SIAM) Journal on Scientific Computing, Society of Industrial and Applied Mathematics35. (2013): A1709-A1735.
Kleefeld, Andreas , and Lin, Tzu-Chu. “Boundary element collocation method for solving the exterior Neumann problem for Helmholtz's equation in three dimensions” Electronic Transactions on Numerical Analysis39. (2012): 113-143.
Kleefeld, Andreas, and Lin, Tzu-Chu. “The nonlinear Landweber method applied to an inverse scattering problem for sound-soft obstacles in 3D” Computer Physics Communications, Elsevier182. (2011): 2550-2560.
Lin, Tzu-Chu, Schultz, David H., and Zhang, Weiqun. “Numerical solutions of linear and nonlinear singular perturbation problems” Computers & Mathematics with Applications, Elsevier55.11 (2008): 2574-2592.
Lin, Tzu-Chu, and Warnapala-Yehiya, Yajni. “The numerical solution of exterior Neumann problem for Helmholtz's equation via modified Green's functions approach” Computers and Mathematics with Applications, Elsevier47. (2004): 593-609.
Lin, Tzu-Chu, and Park, Sehie. “Approximation and Fixed-Point Theorems for Condensing Composites of Multifunctions” Journal of Mathematical Analysis and Applications, Elsevier223.1 (1998): 1–8.
Lin, Tzu-Chu. “Random approximations and random fixed point theorems for continuous -set-contractive random maps” Proceedings of the American Mathematical Society, American Mathematical Society123. (1995): 1167-1176.
Lin, Tzu-Chu. “Smoothness results of single and double layer solutions of the Helmholtz equation” Journal of Integral Equations and Applications, The Rocky Mountain Mathematics Consortium1.1 (1988): 83-121.
Lin, Tzu-Chu. “Approximation theorems and fixed point theorems in cones” Proceedings of the American Mathematical Society, American Mathematical Society102. (1988): 502-506.
Lin, Tzu-Chu. “Random approximations and random fixed point theorems for non-self-maps” Proceedings of the American Mathematical Society, American Mathematical Society103. (1988): 1129-1135.
Lin, Tzu-Chu, and Yen, Chi-Lin. “Applications of the proximity map to fixed point theorems in Hilbert space” Journal of Approximation Theory, Elsevier52.2 (1988): 141-148.
Lin, Tzu-Chu. “The Numerical Solution of Helmholtz’s Equation for the Exterior Dirichlet Problem in Three Dimensions” Society of Industrial and Applied Mathematics(SIAM) Journal on Numerical Analysis, Society of Industrial and Applied Mathematics22.4 (1985): 670-686.
Lin, Tzu-Chu. “A proof for the Burton and Miller integral equation approach for the Helmholtz equation” Journal of Mathematical Analysis and Applications, Elsevier103.2 (1984): 565–574.