摘要:

AbstractIn 1948 Kantorovich published his famous paper on connections between Numerical Mathematics and Functional Analysis. Particularly for Numerical Analysis, the paper [31] of Lax and Richtmyer (1956) on the numerical treatment of (linear) partial initial value problems made Functional Analysis an instrument definitively adopted by numerical analysts.A more general theory for the description and investigation of discretization methods – influenced by the Lax‐Richtmyer Theory and its extensions but not restricted to PDEs – was aroused by papers of Stummel in the 70s. A well developped Functional Analysis of Discretization Algorithms (Vainikko) came into being.After a brief historical summary, some modern aspects of the theory will be discussed, e.g. a general access to the problem of convergence of approximate solutions to weak and not necessarily unique solutions of operator equations, discretization of entropy conditions, extension of the theory to problems where convergence of the numerical solutions to weak solutions can not be guaranteed in the sense of a norm topology but only in the sense of weak convergence or weak set convergence etc.Concrete examples demonstrate the applicability of the t

ISSN:0044-2267    

DOI:10.1002/zamm.19930731002

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19930731005

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

摘要:

AbstractA model is formulated for a rotor with elastic support in axial and lateral directions which leads to the problem of stability of small vertical oscillations in the upright position. This is an autoparametric excitation problem which can be formulated as two coupled Mathieu‐like equations. The analysis of the cases without and with (linear) damping and the case of nonlinear damping is carried out using averaging and numerical bifurcation techniques leading in the nonlinear case to hysteresis and phase‐lock

ISSN:0044-2267    

DOI:10.1002/zamm.19930731006

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19930731007

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

摘要:

AbstractThe present paper is devoted to the aerodynamic analysis of wing‐fuselage configurations in supersonic flow by means of the lifting line theory (SLLT). This theory is based on the linearized small perturbations equation and assumes a constant distribution of circulation along the chord.In order to simplify the present approach, the fuselage is assumed circular and infinite, while the wing is mid‐positioned. The comparisons cover the cases of rectangular and triangular planforms. The results presented herein show that the accuracy of the method is consistent with the linearized theory, enabling the estimation of wing‐body interference with a moderate computational e

ISSN:0044-2267    

DOI:10.1002/zamm.19930731008

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19930731010

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

摘要:

AbstractThe eigenvalue problem determining the periods of slightly nonhydrostatic standing waves in a basin with parabolic bottom profile has previously been resolved using Frobenius series representations of the solutions in conjunction with boundedness conditions at the basin endpoints. Here it is shown that by subjecting the governing equation to a Benjamin‐Bona‐Mahony transformation the problem is considerably simplified and that the range of validity of a simple power series solution exceeds the one previously obtai

ISSN:0044-2267    

DOI:10.1002/zamm.19930731011

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19930731012

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19930731013

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19930731014

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY