Numerical methods
著者
書誌事項
Numerical methods
（Colloquia Mathematica Societatis János Bolyai, 59）
North-Holland, c1991
- : ne
- : hu
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注記
The 5th Conference on Numerical Methods was held in Miskolc, Hungary, 1990
内容説明・目次
内容説明
Recent results in the important fields of numerical methods are presented in this volume. The areas covered include linear algebra, nonlinear equations, differential equations and applications.
目次
Linear Algebra. A Symmetric Companion Matrix of a Polynomial (M. Fiedler, Z. Vavrin). Properties of Some Special Toeplitz Matrices whose Elements are 0 or 1 (G. Lombardi, R. Rebaudo). On a Generalized Iterative Method for Linear Systems with Matrices Belonging to the Class C 1 (M.M. Martins). A Reduction Theorem for the Characteristic Polynomial of Periodic Block Tridiagonal Matrices (P. Rozsa, F. Romani). Nonlinear Equations, Optimization. Efficient Utilisation of Function-Values in Quasi-Newton Methods (J.A. Ford, R.-A. Ghandhari). Convergence Theorems for the Nonlinear ABS-Methods (A. Galantai). The Use of the ABS Algorithms in Truncated-Newton Methods for Nonlinear Optimization (M.T. Vespucci). Ordinary Differential Equations. Stability Analysis of Implicit Single Step Extra Term Method for Solution of Ordinary Differential Equations (G. Molnarka, B. Raczkevi). Molecular and Quasimolecular Modelling of Solids and Fluids (D. Greenspan). Partial Differential Equations. On the Convergence of the Difference Solution of the First Biharmonic Boundary Value Problem (G.K. Berikelashvili, M.G. Mirianashvili). The Cbysev Pseudospectral Method with Preliminary Transform to the Circle for Partial Differential Equations (J.-P. Berrut). Computation of Potentials Used in the Boundary Element Method (N.T. Drenska). On the Method of Finite Elements with One Iteration (A.V. Dzhishkariani). Nonnegativity of the Numerical Solution of Parabolic Problems (I. Farago, N. Komaromi). Application of Integral Equation Methods to the Solution of Maxwell Equations (R.H. Farzan). Spatial Grid Refinements with Truncation Error Injection for Evolution Problems (M. Do Ceu Lopes, P. De Oliveira). On the Numerical Solution of a Nonlinear Boundary Value Problem with Free Surface (N.V. Polyakov). Discontinuous Finite Elements for the Nonlinear Schrodinger Equation (E.E. Rosinger, F.D. van Niekerk). Numerical Solution of Elasticity Problems with High Order Finite Elements (T. Scapolla). Existence and Approximation of Solutions for Nonlinear Elliptic Equations (K. Singh). Finite Element Methods of Streamline Diffusion Type for the Navier Stoke Equations (L. Tobiska). Error Estimates for a Finite Element Method with Numerical Quadrature for a Class of Elliptic Eigenvalue Problems (M. Vanmaele, R. van Keer). Applications. Numerical Simulation of the Vorticity Flows' Movement in Incompressible Viscous Fluid (V.B. Kamen, Yu.L. Voronovsky). A Moving Boundary Problem in the 2D-Technology Simulation (R. Model, R. Hunlich). Numerical Simulation of Turbulent Flow and Matter Transfer in a 3D Water Circulation Model (W. Muller). Numerical Optimization of Parameters of Pipe-Lines Transporting Viscous Fluids (V.A. Ostapenko). Numerical Modelling of Semiconductor Devices (M. Pospisek, K. Segeth, P. Silhan). A Second Order Method for Heat Transfer in a Fluid Between Concentric Rotating Spheres (D.H. Schultz, G. Kocamustafaogullari, S. Schwengels).
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