NUMERICAL MATHEMATICS

The Table of Contents for the book is as follows:

• Preface

• Invited Papers

  • Symplectic, Contact and Volume-Preserving Algorithms

  • A Numerical Analysis of Some Phase Separation Problem

  • Fourier Pseudospectral-Finite Element Method for Navier-Stokes Equation

  • Spectral and Numerical Analysis of Resistive Linearized Magnetohydrodynamic Operators

  • Numerical Analysis of Bifurcation Problem with Corank-m and High Order Singularity

  • Parallel Numerical Methods for Initial-Value Problems of ODEs

  • Numerical Verification of Solutions for Elliptic Problems by the Residual Methods

  • Numerical Unfoldings of the Capillary-Gravity Waves

  • New Improvements of Interval Methods for Nonlinear Systems of Equations

  • Numerical Simulation of Streaklines Emerging from the Surface of a Circular Cylinder in High-Reynolds-Number Flows

  • An Application of Sunzi’s Theorem for Solving Algebraic Equations

  • Numerical Analysis of Linear Water Wave Problem and Eigenvalue Problem of Steklov Type

  • Non-linear Approximation by Spline Functions

  • Vortex Method for the Initial-Boundary Value Problems of the Navier-Stokes Equations

  • Square-Root Operator and Its Application in Numerical Solution of Some Wave Problems

• Contributed Papers

  • On Generation of Symplectic Linear Multistep Method

  • Three-Dimensional Nonlinear Magnetostatic Analysis Using Edge Elements

  • One-Step Methods for the Solution of Differential-Algebraic Equations

  • The Global Convergence on a Family of Iteration

  • Multi-Grid Method for P1-Nonconforming Finite Element Approximation of Parabolic Equations

  • Boundary Integral Solution for the Two-Dimensional Dirichlet Problem of the Helmholtz Equation Exterior to a Straight Boundary