基于修正GramSchmidt法的雙連通區(qū)域數(shù)值保角逆變換計算法
摘 要：研究基于模擬電荷法的雙連通區(qū)域的數(shù)值保角逆變換問題。利用修正GramSchmidt法求解雙連通區(qū)域數(shù)值保角逆變換中的約束方程組，解得模擬電荷量和逆變換半徑，構造出近似保角逆變換函數(shù)。通過數(shù)值實驗驗證算法的有效性。
關鍵詞：模擬電荷法；數(shù)值保角逆變換；修正GramSchmidt法；雙連通區(qū)域
中圖分類號：O241.85 文獻標識碼：A
The Modified GramSchmidt Method for
Numerical Inverse Conformal Mapping of Double Connected Domain
Wang Jian
Xingzhi College of Xi'an University of Finance and Economics Shaanxi Xi'an 710038
Abstract：The problem of numerical conformal inverse transformation in the doubly connected region based on the simulated charge method is studied.The modified GramSchmidt method is used to solve the constraint equations in the numerical conformal mapping inverse transformation in the doubly connected region.The simulated charge quantity and the radius of the inverse transformation are solved，and the approximate conformal mapping inverse transformation function is constructed.The effectiveness of the algorithm is verified by numerical experiments.
Keywords：Simulated charge method；Numerical conformal inverse transformation；Revised Gram Schmidt method；Double connected region
保角變換在物理學和工學領域［13］應用廣泛。（剩余5100字）