Approximation techniques for engineers. (©2007)

• Record Type: Book
• Further Information: Note: Louis Komzsik.
• Other Names: Komzsik, Louis
• Contents: DATA APPROXIMATIONS; ; Classical Interpolation Methods; . Newton Interpolation; . Lagrange Interpolation; . Hermite Interpolation; . Interpolation of Functions of Two Variables with Polynomials; . References; Approximation with Splines; . Natural Cubic Splines; . Bezier Splines; . Approximations with B-Splines; . Surface Spline Approximation; . References; Least Squares Approximation; . The Least Squares Principle; . Linear Least Squares Approximation; . Polynomial Least Squares Approximation; . Computational Example; . Exponential and Logarithmic Least Squares Approximations; . Nonlinear Least Squares Approximation; . Trigonometric Least Squares Approximation; . Directional Least Squares Approximation; . Weighted Least Squares Approximation; . References; Approximation of Functions; . Least Squares Approximation of Functions; . Approximation with Legendre Polynomials; . Chebyshev Approximation; . Fourier Approximation; . Padé Approximation; . References; Numerical Differentiation; . Finite Difference Formulae; . Higher Order Derivatives; . Richardson's Extrapolation; . Multipoint Finite Difference Formulae; . References; Numerical Integration; . The Newton-Cotes Class; . Advanced Newton-Cotes Methods; . Gaussian Quadrature; . Integration of Functions of Multiple Variables; . Chebyshev Quadrature; . Numerical Integration of Periodic Functions; . References; ; APPROXIMATE SOLUTIONS; ; Nonlinear Equations in One Variable; . General Equations; . Newton's Method; . Solution of Algebraic Equations; . Aitken's Acceleration; . References; Systems of Nonlinear Equations; . The Generalized Fixed Point Method; . The Method of Steepest Descent; . The Generalization of Newton's Method; . Quasi-Newton Method; . Nonlinear Static Analysis Application; . References; Iterative Solution of Linear Systems; . Iterative Solution of Linear Systems; . Splitting Methods; . Ritz-Galerkin Method; . Conjugate Gradient Method; . Preconditioning Techniques; . Biconjugate Gradient Method; . Least Squares Systems; . The Minimum Residual Approach; . Algebraic Multigrid Method; . Linear Static Analysis Application; . References; Approximate Solution of Eigenvalue Problems; . Classical Iterations; . The Rayleigh-Ritz Procedure; . The Lanczos Method; . The Solution of the Tridiagonal Eigenvalue Problem; . The Biorthogonal Lanczos Method; . The Arnoldi Method; . The Block Lanczos Method; . Normal Modes Analysis Application; . References; Initial Value Problems; . Solution of Initial Value Problems; . Single-Step Methods; . Multistep Methods; . Initial Value Problems of Ordinary Differential Equations; . Initial Value Problems of Higher Order Ordinary Differential Equations; . Transient Response Analysis Application; . References; Boundary Value Problems; . Boundary Value Problems of Ordinary Differential Equations; . The Finite Difference Method for Boundary Value Problems of Ordinary Differential Equations; . Boundary Value Problems of Partial Differential Equations; . The Finite Difference Method for Boundary Value Problems of Partial Differential Equations; . The Finite Element Method; . Finite Element Analysis of Three-Dimensional Continuum; . Fluid-Structure Interaction Application; . References; Closing Remarks; Index
• Publisher Details: Boca Raton, FL : CRC/Taylor & Francis
• Publication Date: 2007
• Copyright Date: 2007
• Extent: 1 online resource (xvii, 296 pages), illustrations
• Subjects: 511/.4; Approximation theory; Engineering -- Approximation methods; Teoría de la aproximación; Ingeniería -- Métodos de aproximación; Théorie de l'approximation; Ingénierie -- Méthodes des approximations; MATHEMATICS -- General; Ingenieurwissenschaften; Näherungsverfahren; Electronic books
• Languages: English
• ISBNs: 9781420009149; 1420009141; 1351792725; 9781351792721
• Related ISBNs: 0849392772; 9780849392771; 6610651728; 1280651725; 135183746X; 1351828770; 1138700053; 1351792717
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.