Computation of Differential Equations and Dynamical Systems

The Table of Contents for the book is as follows:

• Organizing Committee
• Preface
• Plenary Lectures
  • Formal Dynamical Systems and Numerical Algorithms
  • Finite Volume Methods for Conservation Laws
  • From Finite Elements to Interpolated Finite Elements
  • Blow-Up for Perturbed Conservation Laws
  • Symplectic Integration for Macromolecular Dynamics
  • Completely Discrete Methods for Parabolic Equations with Memory
  • A Finite Element Method for the Poisson Equation in a Planar Exterior Domain
  • A Panoramic View on Kink-Impurity Interactions in the sine-Gordon and ϕ⁴ Models
• Sessional Invited Papers
  • Fourier Chebyshev Approximation for Unilaterally Periodic Flow
  • On the Existence of a System of Nonlinear Partial Differential Equations with Singular Initial Data
  • Reduced Stability Analysis for Magnetohydrodynamic Equilibria
  • Discontinuity-Adaptive Godunov Scheme
  • Automatically Capturing Technique of Discontinuous Solution of Euler Equations
  • Shock Capturing with Modified Compact Difference Schemes
  • Hierarchy of Uniformly High Accuracy and High Resolution Schemes for Hyperbolic Equations
  • A Mixed Multiple Time Scale – Harmonic Balance Method for a Forced Nonlinear Oscillations Problem with Steady State Solutions and Bifurcation Studies
  • Asymptotic Stability for the Solutions of Difference Schemes
  • Paraxial Factorization of Wave Operator and Inverse Problem of Wave Equation
• Contributed Papers
  • Numerical Schemes for Conservation Laws via Hamilton-Jacobi Equations
  • Construction and Application of Higher Order Difference Schemes for Ordinary Differential Equations
  • Nonlinear Method of Ordinary Differential Equations and Its Applications
  • Decomposition of Vector Fields and Composition of Algorithms
  • Unified Multi-Dimensional Simulation Technique for Solid, Liquid and Gas
  • On the Total Variational Stability of Numerical Methods for Two-Dimensional Conservation Laws