Invited talks A Lanczos-Based Projection Method for Symmetric Indefinite Linear Systems Zhong-Zhi Bai, Xue-Bin Chi and Zeng-Qi Wang Superconvergence of Miscible Displacement by Mixed Finite Elements and Characteristics Yan-Ping Chen and Fang-Yun Xue Application of the GMRES Method to Singular Systems and Least Squares Problems Ken Hayami and Tokushi Ito On Nonoverlapping Domain Decomposition Spectral Element Methods for the Steady Navier-Stokes Equations Yi-Zheng Hu and Chuan-Ju Xu Parallelizable Numerical Solution of Linear Variable-Coefficient System of ODEs Taketomo Mitsui and Nobuyuki Esaki A New Nonconforming Double Set Parameter Element Shi-Peng Mao and Shao-Chun Chen A GBDF Approach for Designing Conservative or Dissipative Schemes of Any High-Order Takayasu Matsuo The Double Exponential Transformation for Indefinite Integrals and Its Applications Masatake Mori, Ahniyaz Nurmuhammad and Mayinur Muhammad Mass Conservative Finite Element Method with Lagrange Multipliers for Two-Fluid Flows Katsushi Ohmori and Norikazu Saito An Iterative Method Based on an A-Biorthogonalization Process for Nonsymmetric Linear Systems Tomohiro Sogabe and Shao-Liang Zhang Modeling and Simulation of Cerebrospinal Fluid Flows Hiroshi Suito, Takuya Ueda and Hideo Kawarada Finite Element Schemes for Two-Fluids Flow Problems Masahisa Tabata and Satoshi Kaizu Numerical Computations of a Melting Glass Convection in the Furnace Daisuke Tagami and Masahisa Tabata A Fast and Adaptive Surface Reconstruction Algorithm Based on Implicit Tensor-Product B-Spline Surfaces Wei-Hua Tong, Fa-Lai Chen and Yu-Yu Feng Online Gradient Method with a Penalty Term for BP Neural Networks Wei Wu, Li-Qing Zhang and Nai-Min Zhang Short communications On the Finite Difference Approximation for Parabolic Blow-Up Problems C.-H. Cho, S. Hamada and Hisashi Okamoto The Solvability Conditions for the Positive Semi-Definite Solution and Positive Definite Solution of the Linear Matrix Equation(A^{T}XA, B^{T}XB)=(C,D) Yuan-Bei Deng The Use of Sampling Techniques in Dynamic Data Driven Simulations C.C. Douglas, Deng Li, Y. Efendiev, R. Ewing, V. Ginting and R. Lazarov Analysis of FDM for the Time-Dependent Schrödinger Equation on Unbounded Domain Hou-De Han, Ji-Cheng Jin and Xiao-Nan Wu Variational Formula for Complex Eigenvalues and Numerical Simulation of Vowels Takashi Kako and Kentarou Touda Smooth Triangular Surface Constructed by C-Curves Wei Li, Zhuo-Qi Wu and Ichiro Hagiwara Multiplicative Schwarz Method with Least Squares Mixed Element for Elliptic Problems Hong-Xing Rui Equation of Vortex Sheet on Sphere with a Rotating Effect and Its Long Time Evolution Takashi Sakajo Multiprecision Experiment for a Fundamental Solution Method Applied to Reduced Wave Problems in the Exterior Region of a Disc Teruo Ushijima and Fumihiro Chiba A D-N Alternating Method with Non-Matching FE and Natural BE Grids J. Yang, Qi-Ya Hu and De-Hao Yu Finite Element Methods for Atomic Systems Lung-An Ying and Wei-Ying Zheng A Polynomially Bounded Algorithm for a Kind of Two-Sided Affine Inequality Problems over Boxes Jin-Ping Zeng, Y.J. Jiang and M.H. Ren