The Method of Characteristics with Applications to Conservation Laws

References

[1] R. LeVeque, Numerical Methods for Conservation Laws. Birkhauser, 1992.
[2] J. Cooper, Introduction to Partial Differential Equations with MATLAB. Birkhauser, 1998.
[3] J. Thomas, Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations, Springer, 1999.
[4] G. B. Whitham, Linear and Nonlinear Waves, Wiley, 1974.
[5] S. J. Farlow, Partial Differential Equations for Scientists and Engineers, Dover Publications, 1982.
[6] Gilbert Strang, Introduction to Applied Mathematics, Wellesley-Cambridge Press, 1986.
[7] Fritz John, Partial Differential Equations, 4th edition. Springer, 1982.

Links

  1. Conservation Law Preprint Server -- Current research papers
  2. Clawpack -- A software package designed to compute numerical solutions to hyperbolic partial differential equations (conservation laws)