| 袁东锦,扬州大学数学科学学院教授,应用数学硕士研究生导师,江苏省扬州市人,1974年毕业于扬州大学数学系（原扬州师范学院数学系），后一直于该校担任数学教学、科研工作。曾分别于1992年-1993年、2000年-2001年两度赴澳大利亚，在昆士兰大学、墨尔本大学、迪金大学等著名高校访问并开展合作科研，到今已在国际、国内学术期刊上发表论文三十余篇（其中有十余篇分别为SCI、EI、ISTP索引）、编者出版中英文《数值分析（计算方法）》教材各一部。 |
| 1 Preliminaries 1.1 Review of Calculus Exercise 1.2 Round-Off Errors and Computer Arithmetic Exercise 2 The Solution of Nonlinear Equation f(x)=0 2.1 The Bisection Algorithm Exercise 2.2 Fixed-Point Iteration Exercise 2.3 The Newton-Raphson Method Exercise 2.4 Error Analysis for Iterative Methods and Acceleration Techniques Exercise 3 Interpolation and Polynomial Approximation 3.1 Interpolation and the Lagrange Polynomial Exercise 3.2 Divided Differences Exercise 3.3 Hermite Interpolation Exercise 3.4 Cubic Spline Interpolation 4 Numerical Integration 4.1 Introduction to Quadrature Exercise 4.2 Composite Trapezoidal and Simpson's Rule Exercise 4.3 Recursive Rules and Romberg Ingegration Exercise 5 Diresct Methods for Solving Linear Systems 5.1 Linear Systems of Equations Exercise 5.2 Pivoting Strategies Exercise 5.3 Matrix Factorization Exercise 5.4 Special Types of Matrices Exercise 6 Iterative Techniques in Matrix Algebra 6.1 Norms of Vectors and Matrices Exercise 6.2 Eigenvalues and Eigenvectors Exercise 6.3 Iterative Techniques for Solving Linear Systems Exercise 6.4 Error Estimates and Iterative Refinement Exercise 7 Approximating Eigenvalues 8 Initial-Value Problems for Ordingary Differetial Equations |
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