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Introduction to numerical computations /
Introduction to Numerical Computations.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1983.
|
| Edición: | 2nd ed. |
| Colección: | Computer science and applied mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Introduction to Numerical Computations; Copyright Page; Dedication; Table of Contens; PREFACE; ACKNOWLEDGMENTS; LIST OF SPECIAL SYMBOLS; Chapter 1. BASIC ASPECTS OF NUMERICAL COMPUTATIONS; 1.1 Numerical Algorithms; 1.2 Unstable Problems (Ill-Conditioning); 1.3 Unstable Methods; Suggestions for Further Reading; Chapter 2. COMPUTER ARITHMETIC; 2.1 Number Representation; 2.2 Floating Point Numbers; 2.3 Arithmetic Operations; 2.4 Errors in Computer Arithmetic; 2.5 Analysis of Errors; Suggestions for Further Reading; Chapter 3. EVALUATION OF FUNCTIONS; 3.1 Summation
- 3.2 Polynomial Evaluation3.3 Rational and Transcendental Functions; 3.4 Avoiding Subtractive Cancellation; Suggestions for Further Reading; Chapter 4. INTERPOLATION AND APPROXIMATION; 4.1 Polynomial Interpolation; 4.2 Least Squares Approximation; 4.3 Spline Interpolation; Suggestions for Further Reading; Chapter 5. DIFFERENTIATION AND INTEGRATION; 5.1 Numerical Differentiation; 5.2 Numerical Integration-Newton-Cotes Formulas; 5.3 Adaptive Integration; 5.4 Romberg Integration; 5.5 Numetical Integration-Gaussian Methods; Suggestions for Further Reading; Chapter 6. SYSTEMS OF LINEAR EQUATIONS
- 6.1 Basic Concepts6.2 Gaussian Elimination; 6.3+ Matrix Applications of Gaussian Elimination; 6.4 Rounding Error Analysis; 6.5 Error Estimates and Accuracy Improvement; 6.6 Efficiency Estimates; 6.V Error Estimates-Matrix Methods; 6.8 Iterative Methods; Suggestions for Further Reading; Chapter 7. NONLINEAR EQUATIONS; 7.1 Basic Methods; 7.2 Convergence Results; 7.3 Stability and Effects of Rounding Errors; 7.4 Efficiency-Rates of Convergence; 7.5 Roots of Polynomials; Suggestions for Further Reading; Chapter 8. ORDINARY DIFFERENTIAL EQUATIONS; 8.1 Differential and Difference Equations
- 8.2 Basic Methods8.3 Error Estimates; 8.4 Practical Aspects of Solving Differential Equations; 8.5 Boundary Value Problems; Suggestions for Further Reading; APPENDIX; BIBLIOGRAPHY; INDEX; Computer Science and Applied Mathematics