by K Murawski (Uniwersytet Marii Curie-Sklodowskiej, Lublin, Poland)

This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.

Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.

• Mathematical Description of Fluids
• Linear Waves
• Model Equations for Weakly Nonlinear Waves
• Analytical Methods for Solving the Classical Model Wave Equations
• Numerical Methods for a Scalar Hyperbolic Equations
• Review of Numerical Methods for Model Wave Equations
• Numerical Schemes for a System of One-Dimensional Hyperbolic Equations
• A Hyperbolic System of Two-Dimensional Equations
• Numerical Methods for the MHD Equations
• Numerical Experiments