Addresses the increasingly-important role of numerical methods in science and engineering. While treating traditional and well-developed topics, it also emphasizes concepts and ideas of importance to the design of accurate and efficient algorithms with applications to scientific computing.
Addresses the increasingly-important role of numerical methods in science and engineering. While treating traditional and well-developed topics, it also emphasizes concepts and ideas of importance to the design of accurate and efficient algorithms with applications to scientific computing.
Germund Dahlquist (1925-2005) founded the Department of Numerical Analysis at the Royal Institute of Technology in Stockholm, Sweden, in 1962. He was a pioneer in the field of numerical analysis, whose fundamental work on the solution of differential equations has been recognised by the International Germund Dahlquist Prize, awarded biennially by SIAM since 1995.
Inhaltsangabe
1. List of Figures 2. List of Tables 3. List of Conventions 4. Preface 5. Chapter 1: Principles of Numerical Calculations 6. Chapter 2: How to Obtain and Estimate Accuracy 7. Chapter 3: Series, Operators, and Continued Fractions 8. Chapter 4: Interpolation and Approximation 9. Chapter 5: Numerical Integration 10. Chapter 6: Solving Scalar Nonlinear Equations 11. Bibliography 12. Index 13. Online Appendix A: Introduction to Matrix Computations 14. Online Appendix B: A MATLAB Multiple Precision Package 15. Online Appendix C: Guide to Literature.
1. List of Figures 2. List of Tables 3. List of Conventions 4. Preface 5. Chapter 1: Principles of Numerical Calculations 6. Chapter 2: How to Obtain and Estimate Accuracy 7. Chapter 3: Series, Operators, and Continued Fractions 8. Chapter 4: Interpolation and Approximation 9. Chapter 5: Numerical Integration 10. Chapter 6: Solving Scalar Nonlinear Equations 11. Bibliography 12. Index 13. Online Appendix A: Introduction to Matrix Computations 14. Online Appendix B: A MATLAB Multiple Precision Package 15. Online Appendix C: Guide to Literature.
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