## Advances in numerical mathematics: proceedings of the Second Japan-China Seminar on Numerical Mathematics |

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Advances in Numerical algorithm almostly uniform applied approximation artificial boundary condition boundary layer breathers calculate coefficient computation conservation laws consider convergence defined denote derivatives difference scheme dimensional discrete shock waves domain eigenvalue problem error estimate exact solution exists finite difference finite element method flow fluid formula GPBi-CG Guo Ben-yu homotopy Hopf bifurcation incompressible inequality initial value problem inner product interior point interior point method interpolation iteration lattice point Lemma linear magnetic field Math matrix MECD monotone scheme multigrid Navier-Stokes equations norm Numerical Mathematics numerical solution obtain optimal ordinary differential equations p-model p-model plate problem parameters partial upwind PDEF-S-S piecewise polynomial positive constants proof proved rectangular mesh respectively RK method saddle point satisfies Second Japan-China Seminar Seminar on Numerical shock waves SIAM solving Stokes equation symbolic calculus Table Theorem Tokyo trapezium rule University of Electro-Communications viscous zero