Handbook of Numerical Methods for Hyperbolic Problems

<p>Boundary conditions, interface conditions<br>1. Absorbing / non-reflective boundary conditions<br>Bjorn Engquist<br>2. Cut-cell methods<br>Marsha Berger<br>3. Inverse Lax-Wendroff procedure<br>Sirui Tan and Chi-Wang Shu <br>4. Multi-dimensional solvers and residual distribution schemes<br>Philip Roe<br>5. Bound-preserving high order schemes<br>Xiangxiong Zhang and Zhengfu Xu <br>6. Asymptotic preserving methods<br>Shi Jin<br>7. Well balanced schemes and non-conservative methods<br>Carlos Pares and Manuel Castro <br>8. Particle methods<br>Alina Chertock<br>9. Low Mach number flows<br>Herve Guillard</p> <p>Mesh adaptation<br>10. AMR<br>Phillip Colella<br>11. Adjoint methods in adaptivity<br>Paul Houston<br>12. Mesh Adaption/Conformal Grids/Unstructured Meshes<br>Adrien Loseille<br>13. Efficiency in Solvers<br>Antony Jameson</p> <p>Specialized Topics<br>14. Standard Gas: for p=f(p,e)<br>Remi Abgrall<br>15. Shallow Water Equations<br>Yulong Xing<br>16. Maxwell Equations and MHD<br>Claus-Dieter Munz<br>17. Kinetic Problems<br>Irene M. Gamba<br>18. Numerical Methods for Traffic Flow Models and Networks<br>Suncica Canic and Benedetto Piccoli <br>19. Numerical Methods for Astrophysics<br>Christian Klingenberg</p> <p>Modern Topics<br>20. Numerical methods for conservation laws with discontinuous coefficients<br>Mishra Siddhartha and Remi Abgrall <br>21. Uncertainty quantification for hyperbolic systems of conservation laws<br>Mishra Siddhartha<br>22. Multiscale Methods<br>Assyr Abdulle</p>