## Elliptic systems and numerical transformations |

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annular region arcs Argument Principle body-fitted boundary components Boundary conditions boundary correspondence boundary points boundary value problem branch cuts C. W. Mastin Comp Computational conformal mapping constant construction coordinates s,n create a mesh curves curvilinear coordinate system Curvilinear mesh difference approximation difference equation disc and maximum Discretization Error doubly-connected region elliptic system error in mapping f and g F. C. Thames finite difference methods finite number Fluid Dynamics functions f harmonic function harmonic mapping interior mesh points J. F. Thompson Jacobian vanishes linearized vorticity maximum absolute error mesh of width Mississippi State University model parabolic problem multiply-connected region nonvanishing Jacobian nonzero numerical solution one-to-one partial differential equations Phys point jh Prokopov proof rectangular region Riemann surface semilinear system simply and doubly-connected simply-connected region solving fluid square mesh square of unit system of equations system of partial Theorem tion trans transformation method unit width Vl.k Wayne Mastin Wj,k