Zobrazeno 1 - 10
of 156
pro vyhledávání: '"Werner C. Rheinboldt"'
Autor:
Werner C. Rheinboldt
Publikováno v:
Encyclopedia of Computational Mechanics Second Edition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88f40190ca54ed31b9826bc3d328f972
https://doi.org/10.1002/9781119176817.ecm2020
https://doi.org/10.1002/9781119176817.ecm2020
Publikováno v:
Handbook of Numerical Analysis. 8:183-540
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::040f22ba2d193748ca0350d199f537b2
https://doi.org/10.1016/s1570-8659(02)08004-3
https://doi.org/10.1016/s1570-8659(02)08004-3
Autor:
Werner C. Rheinboldt
Publikováno v:
Journal of Computational and Applied Mathematics. 124(1-2):229-244
In this historical perspective the principal numerical approaches to continuation methods are outlined in the framework of the mathematical sources that contributed to their development, notably homotopy and degree theory, simplicial complexes and ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::440ffd9a811ca287f374fc9316d84039
Autor:
Werner C. Rheinboldt, Bernd Simeon
Publikováno v:
Computers & Mathematics with Applications. 37(6):69-83
Multibody systems are considered which involve combinations of rigid and elastic bodies. Discretizations of the PDEs, describing the elastic members, lead to a semidiscrete system of ODEs or DAEs. Asymptotic methods are introduced which provide a the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d342c96cf7796b9d72d1897a616ee663
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 27:1241-1256
There is strong physical evidence that a full treatment of differential-algebraic equations should be incorporate solutions with jump discontinuities. It is shown here that for semilinear problems the setting of distributions allows for the developme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89340b35351348f65a9337764ea788ff
https://doi.org/10.1016/0362-546x(95)00110-h
https://doi.org/10.1016/0362-546x(95)00110-h
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 27:1257-1280
Part 1 of this paper presented a theory of distribution solutions of semilinear differential-algebraic equations (DAE's). In particular, it was shown that uniqueness of solutions of initial value problems breaks down completely in the class of discon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1efce307e18ba68cb090b7a95b5baa2a
https://doi.org/10.1016/0362-546x(95)00111-8
https://doi.org/10.1016/0362-546x(95)00111-8
Autor:
Werner C. Rheinboldt, Jinn-Liang Liu
Publikováno v:
Numerical Functional Analysis and Optimization. 17:605-637
A posteriori error estimators for finite element solutions of multi—parameter nonlinear partial differential equations are based on an element—by—element solution of local linearizations of the nonlinear equation. In general, the associated bil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c189978047f2db0d6d597182f1b94087
https://doi.org/10.1080/01630569608816714
https://doi.org/10.1080/01630569608816714
Publikováno v:
SIAM Journal on Numerical Analysis. 32:318-329
The paper presents a new approach to the numerical solution of the Euler–Lagrange equations based upon the reduction of the problem to a second-order ordinary differential equation (ODE) on the constraint manifold. The algorithm guarantees that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30a24329196531012cf202414c7cf893
https://doi.org/10.1137/0732013
https://doi.org/10.1137/0732013
Publikováno v:
Journal of Differential Equations. 109(1):110-146
A differential-geometric approach for proving the existence and uniqueness of implicit differential-algebraic equations is presented. It provides for a significant improvement of an earlier theory developed by the authors as well as for a completely
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c673dcd4dcaef85b1fd903b6d3dfc421
Publikováno v:
Journal of Mathematical Analysis and Applications. 181:429-454
This paper presents a mathematical characterization of the impasse points of quasilinear DAE's A(x) = G(x), where then A(x) is a nxn matrix having constant but not full r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c2334302efaffc0c74407a29757398d
https://doi.org/10.1006/jmaa.1994.1033
https://doi.org/10.1006/jmaa.1994.1033