Curricular review demonstrates fundamental computational algorithms for numerical mathematics, highlighting strategies for managing discretization errors and differential equations.
Chapter 1. Taylor Polynomials. Chapter 2. Error and Computer Arithmetic. Chapter 3. Rootfinding. Chapter 4. Interpolation and Approximation. Chapter 5. Numerical Integration and Differentiation. Chapter 6. Solution of Systems of Linear Equations. Chapter 7. Numerical Linear Algebra: Advanced Topics. Chapter 8. Ordinary Differential Equations. Chapter 9. Finite Difference Method for PDEs. Appendix A: Mean Value Theorems. Appendix B: Mathematical Formulas. Appendix C: Numerical Analysis Software Packages. Appendix D: Matlab: An Introduction. Appendix E: The Binary Number System. Answers to Selected Problems. Bibliography. Index.
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G. et al. (1994) studied this question.
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