Rabier, Patrick J.; Rheinboldt, Werner C. Theoretical and numerical analysis of differential-algebraic equations. (English) Zbl 1007.65057 Ciarlet, P. G. (ed.) et al., Solution of equations in \(\mathbb{R}^n\) (Part 4). Techniques of scientific computing (Part 4). Numerical methods of fluids (Part 2). Amsterdam: North Holland/ Elsevier (ISBN 0-444-50906-2). Handbook of Numerical Analysis 8, 183-540 (2002). Reviewer: Z.Jackiewicz (Tempe) MSC: 65L80 34D30 34A09 34C23 70F10 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{W. C. Rheinboldt}, Handb. Numer. Anal. 8, 183--540 (2002; Zbl 1007.65057)
Rheinboldt, W. C. Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms. (English) Zbl 0871.65066 Comput. Math. Appl. 33, No. 3, 31-43 (1997). Reviewer: M.Calvo (Zaragoza) MSC: 65L05 34A34 34C40 34A09 65Y15 PDFBibTeX XMLCite \textit{W. C. Rheinboldt}, Comput. Math. Appl. 33, No. 3, 31--43 (1997; Zbl 0871.65066) Full Text: DOI
Rabier, Patrick J.; Rheinboldt, Werner C. Time-dependent linear DAEs with discontinuous inputs. (English) Zbl 0864.65044 Linear Algebra Appl. 247, 1-29 (1996). Reviewer: C.Bendtsen (Lyngby) MSC: 65L05 34A09 34A34 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{W. C. Rheinboldt}, Linear Algebra Appl. 247, 1--29 (1996; Zbl 0864.65044) Full Text: DOI
Rabier, Patrick J.; Rheinboldt, Werner C. Classical and generalized solutions of time-dependent linear differential-algebraic equations. (English) Zbl 0857.34005 Linear Algebra Appl. 245, 259-293 (1996). Reviewer: G.Karakostas (Ioannina) MSC: 34A09 34A30 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{W. C. Rheinboldt}, Linear Algebra Appl. 245, 259--293 (1996; Zbl 0857.34005) Full Text: DOI
Rabier, Patrick J.; Rheinboldt, Werner C. Discontinuous solutions of semilinear differential-algebraic equations. II: \({\mathcal P}\)-consistency. (English) Zbl 0863.34001 Nonlinear Anal., Theory Methods Appl. 27, No. 11, 1257-1280 (1996). Reviewer: S.Mirica (Bucureşti) MSC: 34A09 65L05 65L20 34A12 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{W. C. Rheinboldt}, Nonlinear Anal., Theory Methods Appl. 27, No. 11, 1257--1280 (1996; Zbl 0863.34001) Full Text: DOI
Rabier, Patrick J.; Rheinboldt, Werner C. Discontinuous solutions of semilinear differential-algebraic equations. I: Distribution solutions. (English) Zbl 0865.34003 Nonlinear Anal., Theory Methods Appl. 27, No. 11, 1241-1256 (1996). Reviewer: S.Mirica (Bucureşti) MSC: 34A09 34C05 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{W. C. Rheinboldt}, Nonlinear Anal., Theory Methods Appl. 27, No. 11, 1241--1256 (1996; Zbl 0865.34003) Full Text: DOI
Rheinboldt, Werner C. Differential-geometric computational methods for nonlinear problems. (English) Zbl 0843.65040 Lakshmikantham, V. (ed.), World congress of nonlinear analysts ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 1017-1037 (1996). MSC: 65J15 65L05 34A09 47J25 34C20 37G99 PDFBibTeX XMLCite \textit{W. C. Rheinboldt}, in: World congress of nonlinear analysts '92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 1017--1037 (1996; Zbl 0843.65040)
Rabier, Patrick J.; Rheinboldt, Werner C. On the numerical solution of the Euler-Lagrange equations. (English) Zbl 0818.65064 SIAM J. Numer. Anal. 32, No. 1, 318-329 (1995). Reviewer: M.Calvo (Zaragoza) MSC: 65L05 37J99 34A09 70H03 34C40 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{W. C. Rheinboldt}, SIAM J. Numer. Anal. 32, No. 1, 318--329 (1995; Zbl 0818.65064) Full Text: DOI
Rabier, Patrick J.; Rheinboldt, Werner C. A geometric treatment of implicit differential-algebraic equations. (English) Zbl 0804.34004 J. Differ. Equations 109, No. 1, 110-146 (1994). Reviewer: C.Bendtsen (Lyngby) MSC: 34A09 34A26 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{W. C. Rheinboldt}, J. Differ. Equations 109, No. 1, 110--146 (1994; Zbl 0804.34004) Full Text: DOI
Rabier, P. J.; Rheinboldt, W. C. Finite difference methods for time dependent, linear differential algebraic equations. (English) Zbl 0792.65048 Appl. Math. Lett. 7, No. 2, 29-34 (1994). MSC: 65L05 65L12 34A34 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{W. C. Rheinboldt}, Appl. Math. Lett. 7, No. 2, 29--34 (1994; Zbl 0792.65048) Full Text: DOI
Rabier, Patrick J.; Rheinboldt, Werner C. On impasse points of quasilinear differential-algebraic equations. (English) Zbl 0803.34004 J. Math. Anal. Appl. 181, No. 2, 429-454 (1994). Reviewer: C.Bendtsen (Lyngby) MSC: 34A09 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{W. C. Rheinboldt}, J. Math. Anal. Appl. 181, No. 2, 429--454 (1994; Zbl 0803.34004) Full Text: DOI
Rabier, Patrick J.; Rheinboldt, Werner C. On the computation of impasse points of quasi-linear differential- algebraic equations. (English) Zbl 0793.65050 Math. Comput. 62, No. 205, 133-154 (1994). Reviewer: Michael Sever (Jerusalem) MSC: 65L05 65H10 34A34 37G99 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{W. C. Rheinboldt}, Math. Comput. 62, No. 205, 133--154 (1994; Zbl 0793.65050) Full Text: DOI
Rheinboldt, Werner C. The theory and numerics of differential-algebraic equations. (English) Zbl 0732.65060 Advances in numerical analysis. Vol. I: Nonlinear partial differential equations and dynamical systems, Proc. 4th Summer Sch., Lancaster/UK 1990, 237-275 (1991). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65L05 34A34 PDFBibTeX XML
Rheinboldt, Werner C. On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations. (English) Zbl 0722.34044 Nonlinear Anal., Theory Methods Appl. 16, No. 7-8, 647-661 (1991). Reviewer: W.C.Rheinboldt MSC: 34C40 34K05 34A12 65L99 PDFBibTeX XMLCite \textit{W. C. Rheinboldt}, Nonlinear Anal., Theory Methods Appl. 16, No. 7--8, 647--661 (1991; Zbl 0722.34044) Full Text: DOI
Rabier, Patrick J.; Rheinboldt, Werner C. A general existence and uniqueness theory for implicit differential- algebraic equations. (English) Zbl 0722.34004 Differ. Integral Equ. 4, No. 3, 563-582 (1991). Reviewer: T.C.Gard (Athens/Georgia) MSC: 34A12 34A09 34A34 34C40 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{W. C. Rheinboldt}, Differ. Integral Equ. 4, No. 3, 563--582 (1991; Zbl 0722.34004)
Potra, Florian A.; Rheinboldt, Werner C. Differential-geometric techniques for solving differential algebraic equations. (English) Zbl 0763.65058 Real-time integration methods for mechanical system simulation, Proc. NATO Adv. Res. Workshop, Snowbird/UT (USA) 1989, NATO ASI Ser., Ser. F 69, 155-191 (1991). Reviewer: Z.Schneider (Bratislava) MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{F. A. Potra} and \textit{W. C. Rheinboldt}, in: Real-time integration methods for mechanical system simulation. Lectures and selected contributed papers presented at the NATO advanced research workshop, held in Snowbird, Utah, USA, August 7-11, 1989. New York etc.: Springer-Verlag. 155--191 (1991; Zbl 0763.65058)
Rheinboldt, Werner C. Differential-algebraic systems as differential equations on manifolds. (English) Zbl 0581.65058 Math. Comput. 43, 473-482 (1984). Reviewer: K.Burrage MSC: 65L05 34A34 37N99 PDFBibTeX XMLCite \textit{W. C. Rheinboldt}, Math. Comput. 43, 473--482 (1984; Zbl 0581.65058) Full Text: DOI
Babuška, Ivo; Rheinboldt, Werner C. A posteriori error analysis of finite element solutions for one- dimensional problems. (English) Zbl 0487.65060 SIAM J. Numer. Anal. 18, 565-589 (1981). MSC: 65N30 65N15 65L10 34B05 35K25 PDFBibTeX XMLCite \textit{I. Babuška} and \textit{W. C. Rheinboldt}, SIAM J. Numer. Anal. 18, 565--589 (1981; Zbl 0487.65060) Full Text: DOI
Rheinboldt, Werner C. Adaptive mesh refinement processes for finite element solutions. (English) Zbl 0485.65057 Int. J. Numer. Methods Eng. 17, 649-662 (1981). MSC: 65L10 65N30 35J25 34B05 PDFBibTeX XMLCite \textit{W. C. Rheinboldt}, Int. J. Numer. Methods Eng. 17, 649--662 (1981; Zbl 0485.65057) Full Text: DOI
Babuška, Ivo; Rheinboldt, W. C. Analysis of optimal finite-element meshes in \(R^1\). (English) Zbl 0431.65055 Math. Comput. 33, 435-463 (1979). MSC: 65L10 47E05 34B05 65N30 65N15 PDFBibTeX XMLCite \textit{I. Babuška} and \textit{W. C. Rheinboldt}, Math. Comput. 33, 435--463 (1979; Zbl 0431.65055) Full Text: DOI
Rheinboldt, Werner C. An adaptive continuation process for solving systems of nonlinear equations. (English) Zbl 0378.65029 Math. Models and numer. Methods, Banach Cent. Publ. 3, 129-142 (1978). MSC: 65H10 34G99 PDFBibTeX XML Full Text: EuDML Link