ISSN:0010-3640    

DOI:10.1002/cpa.3160370402

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1984

数据来源: WILEY

ISSN:0010-3640    

DOI:10.1002/cpa.3160370403

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1984

数据来源: WILEY

ISSN:0010-3640    

DOI:10.1002/cpa.3160370404

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1984

数据来源: WILEY

摘要:

AbstractA natural generalization of Godunov's method for Courant numbers larger than 1 is obtained by handling interactions between neighboring Riemann problems linearly, i.e., by allowing waves to pass through one another with no change in strength or speed. This method is well defined for arbitrarily large Courant numbers and can be written in conservation form. It follows that if a sequence of approximations converges to a limitu(x,t)as the mesh is refined, thenuis a weak solution to the system of conservation laws.For scalar problems the method is total variation diminishing and every sequence contains a convergent subsequence. It is conjectured that in fact every sequence converges to the (unique) entropy solution provided the correct entropy solution is used for each Riemann problem.If the true Riemann solutions are replaced by approximate Riemann solutions which are consistent with the conservation law, then the above convergence results for general systems continue to hold.

ISSN:0010-3640    

DOI:10.1002/cpa.3160370405

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1984

数据来源: WILEY

摘要:

AbstractVarious special motion‐planning problems involving arbitrarily many degrees of freedom are shown to admit relatively simple solutions by techniques based on the connectivity graph approach described by Schwartz and Sharir. The solutions exploit the particularly simple configuration space structure of the robot systems considered. A typical problem is that of planning motions for a 2‐dimensional robot system consisting of several arms all jointed at one common endpoint and free to rotate past each other. The algorithm given for solving this problem runs in timeO(nk+4), wherekis the number of a

ISSN:0010-3640    

DOI:10.1002/cpa.3160370406

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1984

数据来源: WILEY

摘要:

AbstractWe consider nonlinear systems of the formUnder suitable assumptions, Hölder continuity of weak solutions is proven in a neighborhood of the origin using weighted inequalities and a partial regularity method of M. Giaquinta and E. Giusti. These equations relate to an exterior flow problem in physics

ISSN:0010-3640    

DOI:10.1002/cpa.3160370407

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1984

数据来源: WILEY

ISSN:0010-3640    

DOI:10.1002/cpa.3160370408

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1984

数据来源: WILEY

ISSN:0010-3640    

DOI:10.1002/cpa.3160370401

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1984

数据来源: WILEY