UID:
almahu_9947367768102882
Format:
1 online resource (447 p.)
ISBN:
1-281-79795-2
,
9786611797959
,
0-08-087244-1
Series Statement:
North-Holland mathematics studies ; 133
Content:
This selection of papers is concerned with problems arising in the numerical solution of differential equations, with an emphasis on partial differential equations. There is a balance between theoretical studies of approximation processes, the analysis of specific numerical techniques and the discussion of their application to concrete problems relevant to engineering and science. Special consideration has been given to innovative numerical techniques and to the treatment of three-dimensional and singular problems. These topics are discussed in several of the invited papers.The contrib
Note:
Description based upon print version of record.
,
Front Cover; Numerical Approximation of Partial Differential Equations; Copyright Page; Contents; Preface; INVITED PAPERS; Chapter 1. Recent Progress in the Two-Dimensional Approximation of Three Dimensional Plate Models in Nonlinear Elasticity; Chapter 2. Formulation of Alternating-Direction Iterative Methods for Mixed Methods in Three Space; Chapter 3. Iterative Methods for Singular Systems; Chapter 4. On Different Numerical Methods to Solve Singular Boundary Problems; Chapter 5. Some Numerical Techniques for the Solution of Problems Related to Semiconductor Devices
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Chapter 6. Recent Progress in the Numerical Treatment of Singular Problems for Partial Differential Equations with Techniques Based on the Tau MethodChapter 7. Present State and New Trends in Parallel Computation; Chapter 8. Finite Element Methods for Treating Problems Involving Singularities, with Applications to Linear Elastic Fracture; Chapter 9. Finite Element Solution of the Fundamental Equations of Semiconductor Devices; CONTRIBUTED PAPERS; PART I: RESULTS ON COMPUTATIONAL LINEAR ALGEBRA; Interpolation and Related Techniques
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Chapter 10. On Aitken-Neville Formulae for Multivariate InterpolationChapter 11. On Some Methods for the Construction of Smoothing Splines; Chapter 12. Generalized L-Splines as Solutions of an N-Point Boundary Value Problem; Computational Linear Algebra; Chapter 13. Computing Errorbounds for Eigenpairs Using the Precise Scalarproduct; Chapter 14. Some Results on the AOR Iterative Method; Chapter 15. On the Speed of Convergence of the Total Step Method in Interval Computations; PART II: DISCRETE VARIABLE METHODS; Finite Difference Methods, Finite Element Methods and Related Techniques
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Chapter 16. On the Stability of Variable Stepsize Adams Methods in Nordsieck FormChapter 17. The Preconditioned Conjugate Gradient Method for Solving Elliptic difference Equations; Chapter 18. Accelerated Monotone Scheme for Finite Difference Equations Concerning Steady-State Prey-Predator Interactions; Chapter 19. A Note on Three-Term Recurrences and their Numerical Treatment; Chapter 20. Mixed Finite Elements Methods for Convection-Diffusion Problems; Method of Lines; Chapter 21. Numerical Methods of Solution of Evolution Equations of Hyperbolic Type
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Chapter 22. Some Aspects of the Numerical Solution of Evolution Equations by the Method of Discretization in TimePART III: POLYNOMIAL AND RATIONAL APPROXIMATION METHODS; Tau Method, Collocation and Spectral Techniques; Chapter 23. Some Results of the Spectrum of Chebyshev Differencing Operator; Chapter 24. On a New Boundary Element Spectral Method; Chapter 25. On Rational Approximation to Semigroups of Linear Operators; Chapter 26. A Quick Survey of Recent Developments and Applications of the T-Method
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Chapter 27. Cubic and Quintic Spline Extrapolated Collocation Methods for Two-Point Boundary Value Problems
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English
Additional Edition:
ISBN 0-444-70140-0
Language:
English
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