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[00032] A geometrically preservative semi-adaptive method for the numerical solution of Kawarada equations

  • Session Time & Room : 1E (Aug.21, 17:40-19:20) @E702
  • Type : Contributed Talk
  • Abstract : This presentation concerns the numerical stability and geometric preservations of the numerical solution of Kawarada equation problems. The nonlinear partial differential equations exhibit strong quenching types of singularities that represent a number of key characteristics from industrial and multi-physical applications. A second order semi-adaptive implicit finite difference method will be constructed and investigated. We shall begin with a detailed mathematical analysis of the stability without freezing singular source terms of Kawarada equations in this talk. Preservation features of the solution vector sequences will then be studied. Realistic orders of the convergence will be given via generalized Milne's devices. Finally, computer simulations will be carried out to demonstrate the effectiveness of the theoretical analysis and conclusions.
  • Classification : 65M06, 65M12, 65M50, 68U01, 65D18
  • Format : Talk at Waseda University
  • Author(s) :
    • Qin Sheng (Baylor University)