Edit Profile (opens in new tab) Rheinboldt, Werner C. Compute Distance To: Compute Author ID: rheinboldt.werner-c Published as: Rheinboldt, Werner C.; Rheinboldt, W. C.; Rheinboldt, Werner; Rheinboldt, W.; Rheinboldt more...less Documents Indexed: 114 Publications since 1955, including 7 Books 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 213 Reviews Co-Authors: 30 Co-Authors with 77 Joint Publications 677 Co-Co-Authors all top 5 Co-Authors 39 single-authored 14 Babuška, Ivo 14 Rabier, Patrick J. 8 Fink, James P. 8 Ortega, James M. 5 Mesztenyi, Charles K. 4 Vandergraft, James S. 3 Potra, Florian-Alexandru 2 Burkardt, John V. 2 Cavendish, James C. 2 Greub, Werner H. 2 Hall, Charles Allan 2 Liu, Jinn-Liang 2 Melhem, Rami G. 2 Simeon, Bernd 2 Wenner, Michael L. 1 Allgower, Eugene L. 1 Basili, Victor R. 1 Böhmer, Klaus 1 Brodzik, M. L. 1 Burkhardt, John 1 Ciarlet, Philippe Gaston 1 Dai, Rui-Xiu 1 den Heijer, Cor 1 Fitzgerald, J. M. 1 Fox, David W. 1 Gallagher, Richard Hugo 1 Gelman, Alex 1 More, J. 1 Oden, John Tinsley 1 Riks, Eduard 1 Roose, Dirk 1 Shepherd, Roger A. 1 Wellford, Landon Carter jun. 1 Whiteman, John Robert 1 Zave, Pamela 1 Ziekiewicz 1 Zlámal, Miloš A. all top 5 Serials 20 SIAM Journal on Numerical Analysis 6 Mathematics of Computation 4 Computers & Mathematics with Applications 4 International Journal for Numerical Methods in Engineering 4 Applied Mathematics Letters 4 Linear Algebra and its Applications 4 Nonlinear Analysis. Theory, Methods & Applications 3 Computers and Structures 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 ACM Transactions on Mathematical Software 3 Numerische Mathematik 3 BIT. Nordisk Tidskrift for Informationsbehandling 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Analysis and Applications 2 Computing 2 Numerical Functional Analysis and Optimization 2 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Archive for Rational Mechanics and Analysis 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Computing 1 Transactions of the American Mathematical Society 1 Differential and Integral Equations 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Journal of Research of the National Bureau of Standards 1 Classics in Applied Mathematics 1 Journal of Rational Mechanics and Analysis 1 Beiträge zur Numerischen Mathematik 1 Berichte der Gesellschaft für Mathematik und Datenverarbeitung, Bonn all top 5 Fields 88 Numerical analysis (65-XX) 21 Ordinary differential equations (34-XX) 17 Mechanics of deformable solids (74-XX) 14 Operator theory (47-XX) 11 Partial differential equations (35-XX) 7 Computer science (68-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of particles and systems (70-XX) 4 Operations research, mathematical programming (90-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Differential geometry (53-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 5,453 times in 4,572 Documents Cited by ▼ Year ▼ Iterative solution of nonlinear equations in several variables. Zbl 0241.65046Ortega, J. M.; Rheinboldt, W. C. 2,600 1970 Error estimates for adaptive finite element computations. Zbl 0398.65069Babuška, Ivo; Rheinboldt, W. C. 466 1978 A-posteriori error estimates for the finite element method. Zbl 0396.65068Babuška, Ivo; Rheinboldt, W. C. 387 1978 Iterative solution of nonlinear equations in several variables. Zbl 0949.65053Ortega, J. M.; Rheinboldt, W. C. 247 2000 A unified convergence theory for a class of iterative processes. Zbl 0155.46701Rheinboldt, W. C. 119 1968 On P- and S-functions and related classes of \(n\)-dimensional nonlinear mappings. Zbl 0247.65038More, J.; Rheinboldt, W. 72 1973 Monotone iterations for nonlinear equations with application to Gauß- Seidel methods. Zbl 0161.35401Ortega, J. M.; Rheinboldt, W. C. 62 1967 On the monotone convergence of Newton’s method. Zbl 0572.65034Potra, F. A.; Rheinboldt, W. C. 59 1986 A geometric treatment of implicit differential-algebraic equations. Zbl 0804.34004Rabier, Patrick J.; Rheinboldt, Werner C. 57 1994 On the error behavior of the reduced basis technique for nonlinear finite element approximations. Zbl 0533.73071Fink, J. P.; Rheinboldt, W. C. 56 1983 Numerical analysis of parametrized nonlinear equations. Zbl 0582.65042Rheinboldt, Werner C. 54 1986 A mesh-independence principle for operator equations and their discretizations. Zbl 0591.65043Allgower, E. L.; Böhmer, K.; Potra, F. A.; Rheinboldt, W. C. 52 1986 Differential-algebraic systems as differential equations on manifolds. Zbl 0581.65058Rheinboldt, Werner C. 51 1984 Methods for solving systems of nonlinear equations. 2nd ed. Zbl 0906.65051Rheinboldt, Werner C. 50 1998 On \(M\)-functions and their application to nonlinear Gauss-Seidel iterations and to network flows. Zbl 0206.46504Rheinboldt, W. C. 46 1970 On a generalization of an inequality of L. V. Kantorovich. Zbl 0093.12405Greub, Werner; Rheinboldt, Werner 46 1959 Solution fields of nonlinear equations and continuation methods. Zbl 0431.65035Rheinboldt, Werner C. 44 1980 Analysis of optimal finite-element meshes in \(R^1\). Zbl 0431.65055Babuška, Ivo; Rheinboldt, W. C. 44 1979 Theoretical and numerical analysis of differential-algebraic equations. Zbl 1007.65057Rabier, Patrick J.; Rheinboldt, Werner C. 43 2002 A posteriori error analysis of finite element solutions for one- dimensional problems. Zbl 0487.65060Babuška, Ivo; Rheinboldt, Werner C. 42 1981 A locally parametrized continuation process. Zbl 0516.65029Rheinboldt, Werner C.; Burkardt, John V. 40 1983 Adaptive approaches and reliability estimations in finite element analysis. Zbl 0396.73077Babuška, Ivo; Rheinboldt, W. C. 38 1979 On impasse points of quasilinear differential-algebraic equations. Zbl 0803.34004Rabier, Patrick J.; Rheinboldt, Werner C. 38 1994 On the computation of multi-dimensional solution manifolds of parametrized equations. Zbl 0676.65047Rheinboldt, Werner C. 36 1988 A simple approach to the Perron-Frobenius theory for positive operators on general partially-ordered finite-dimensional linear spaces. Zbl 0255.15017Rheinboldt, Werner C.; Vandergraft, James S. 36 1973 Methods for solving systems of nonlinear equations. Zbl 0325.65022Rheinboldt, Werner C. 31 1974 On steplength algorithms for a class of continuation methods. Zbl 0472.65042den Heijer, C.; Rheinboldt, W. C. 30 1981 Numerical methods for a class of finite dimensional bifurcation problems. Zbl 0389.65024Rheinboldt, Werner C. 28 1978 On a data structure for adaptive finite element mesh refinements. Zbl 0437.65081Rheinboldt, Werner C.; Mesztenyi, Charles K. 27 1980 Local mapping relations and global implicit function theorems. Zbl 0175.45201Rheinboldt, W. C. 27 1969 Nonholonomic motion of rigid mechanical systems from a DAE viewpoint. Zbl 0942.70001Rabier, Patrick J.; Rheinboldt, Werner C. 25 1999 Numerical analysis of continuation methods for nonlinear structural problems. Zbl 0465.65030Rheinboldt, Werner C. 24 1981 An adaptive continuation process for solving systems of nonlinear equations. Zbl 0378.65029Rheinboldt, Werner C. 23 1978 A general existence and uniqueness theory for implicit differential- algebraic equations. Zbl 0722.34004Rabier, Patrick J.; Rheinboldt, Werner C. 23 1991 On the computation of impasse points of quasi-linear differential- algebraic equations. Zbl 0793.65050Rabier, Patrick J.; Rheinboldt, Werner C. 20 1994 Computational error estimates and adaptive processes for some nonlinear structural problems. Zbl 0528.65047Babuška, Ivo; Rheinboldt, Werner C. 19 1982 A comparison of methods for determining turning points of nonlinear equations. Zbl 0479.65032Melhem, R. G.; Rheinboldt, W. C. 18 1982 Classical and generalized solutions of time-dependent linear differential-algebraic equations. Zbl 0857.34005Rabier, Patrick J.; Rheinboldt, Werner C. 17 1996 Computation of critical boundaries on equilibrium manifolds. Zbl 0489.65033Rheinboldt, Werner C. 16 1982 On the theory and error estimation of the reduced basis method for multi- parameter problems. Zbl 0802.65068Rheinboldt, Werner C. 16 1993 Differential-geometric techniques for solving differential algebraic equations. Zbl 0763.65058Potra, Florian A.; Rheinboldt, Werner C. 14 1991 On a theory of mesh-refinement processes. Zbl 0472.65009Rheinboldt, Werner C. 12 1980 Adaptive mesh refinement processes for finite element solutions. Zbl 0485.65057Rheinboldt, Werner C. 12 1981 Finite difference methods for time dependent, linear differential algebraic equations. Zbl 0792.65048Rabier, P. J.; Rheinboldt, W. C. 12 1994 On a theorem of S. Smale about Newton’s method for analytic mappings. Zbl 0631.65064Rheinboldt, Werner C. 12 1988 On the discretization error of parametrized nonlinear equations. Zbl 0525.65041Fink, James P.; Rheinboldt, Werner C. 12 1983 On discretization and differentiation of operators with application to Newton’s method. Zbl 0143.17001Ortega, J. M.; Rheinboldt, W. C. 11 1966 On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations. Zbl 0722.34044Rheinboldt, Werner C. 10 1991 On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0699.65037Rabier, Patrick J.; Rheinboldt, Werner C. 10 1990 On the computation of manifolds of foldpoints for parameter-dependent problems. Zbl 0699.65038Dai, Rui-Xiu; Rheinboldt, Werner C. 10 1990 A geometric framework for the numerical study of singular points. Zbl 0623.65065Fink, James P.; Rheinboldt, Werner C. 10 1987 Solution manifolds and submanifolds of parametrized equations and their discretization errors. Zbl 0555.65034Fink, James P.; Rheinboldt, Werner C. 9 1984 On a class of approximate iterative processes. Zbl 0149.11002Ortega, J. M.; Rheinboldt, W. C. 9 1967 A posteriori finite element error estimators for indefinite elliptic boundary value problems. Zbl 0799.65108Liu, Jinn-Liang; Rheinboldt, Werner C. 7 1994 The computation of simplicial approximations of implicitly defined two- dimensional manifolds. Zbl 0815.65068Brodzik, M. L.; Rheinboldt, W. C. 7 1994 On the numerical solution of the Euler-Lagrange equations. Zbl 0818.65064Rabier, Patrick J.; Rheinboldt, Werner C. 7 1995 On the reliability and optimality of the finite element method. Zbl 0395.65058Babuška, Ivo; Rheinboldt, W. C. 7 1979 Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms. Zbl 0871.65066Rheinboldt, W. C. 7 1997 A mathematical model for the verification of systolic networks. Zbl 0546.94031Melhem, Rami G.; Rheinboldt, Werner C. 7 1984 A posteriori finite element error estimators for parametrized nonlinear boundary value problems. Zbl 0860.65104Liu, Jinn-Liang; Rheinboldt, Werner C. 7 1996 Numerical continuation methods: a perspective. Zbl 0966.65049Rheinboldt, Werner C. 7 2000 Computational methods for determining lower bounds for eigenvalues of operators in Hilbert spaces. Zbl 0161.35504Fox, D. W.; Rheinboldt, W. C. 7 1966 Design of an adaptive, parallel finite-element system. Zbl 0401.65066Zave, Pamela; Rheinboldt, Werner C. 6 1979 MANPAK: A set of algorithms for computations on implicitly defined manifolds. Zbl 0883.65044Rheinboldt, W. C. 6 1996 Error estimates for nonlinear finite element computations. Zbl 0581.73086Rheinboldt, Werner C. 6 1985 On M-functions and their application to non-linear Gauss-Seidel iterations and to network flows. Zbl 0183.44901Rheinboldt, W. C. 6 1969 Local and global convergence of generalized linear iterations. Zbl 0224.65017Ortega, James M.; Rheinboldt, Werner C. 6 1970 Reliable error estimation and mesh adaptation for the finite element method. Zbl 0451.65078Babuška, Ivo; Rheinboldt, Werner C. 5 1980 Solution techniques for nonlinear finite element equations. Zbl 0542.73099Rheinboldt, W. C.; Riks, E. 5 1983 On piecewise affine mappings in \(R^n\). Zbl 0322.65028Rheinboldt, Werner C.; Vandergraft, James S. 5 1975 Aspects of continuation software. Zbl 0711.65037Rheinboldt, W. C.; Roose, D.; Seydel, R. 5 1990 Time-dependent linear DAEs with discontinuous inputs. Zbl 0864.65044Rabier, Patrick J.; Rheinboldt, Werner C. 5 1996 Computing smooth solutions of DAEs for elastic multibody systems. Zbl 0954.74027Rheinboldt, W. C.; Simeon, B. 4 1999 On the local convergence of update methods. Zbl 0288.65029Rheinboldt, Werner C.; Vandergraft, James S. 4 1974 Mathematical problems of computational decisions in the finite element method. Zbl 0361.65096Babuška, Ivo; Rheinboldt, W. C. 4 1977 Discontinuous solutions of semilinear differential-algebraic equations. I: Distribution solutions. Zbl 0865.34003Rabier, Patrick J.; Rheinboldt, Werner C. 4 1996 On classes of \(n\)-dimensional nonlinear mappings generalizing several types of matrices. Zbl 0253.65031Rheinboldt, Werner C. 4 1971 Local error estimates for parametrized nonlinear equations. Zbl 0583.65038Fink, James P.; Rheinboldt, Werner C. 4 1985 Performance analysis of some methods for solving Euler-Lagrange equations. Zbl 0813.65093Rheinboldt, W. C.; Simeon, B. 3 1995 Computational aspects of the finite element method. Zbl 0407.68035Babuška, Ivo; Rheinboldt, W. 3 1977 On a characterization of tridiagonal matrices by M. Fiedler. Zbl 0273.15021Rheinboldt, Werner C.; Shepherd, Roger A. 3 1974 Geometric notes on optimization with equality constraints. Zbl 0852.90119Rheinboldt, W. C. 3 1996 On the evaluation of multivariate polynomials and their derivatives. Zbl 0387.65014Rheinboldt, W. C.; Mesztenyi, C. K.; Fitzgerald, J. M. 3 1977 On the sensitivity of solutions of parametrized equations. Zbl 0776.65038Rheinboldt, Werner C. 2 1993 On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0679.65034Rabier, Patrick J.; Rheinboldt, Werner C. 2 1990 On measures of ill-conditioning for nonlinear equations. Zbl 0328.65032Rheinboldt, Werner C. 2 1976 Discontinuous solutions of semilinear differential-algebraic equations. II: \({\mathcal P}\)-consistency. Zbl 0863.34001Rabier, Patrick J.; Rheinboldt, Werner C. 2 1996 A general convergence result for unconstrained minimization methods. Zbl 0245.65030Ortega, James M.; Rheinboldt, Werner C. 2 1972 On a programming language for graph algorithms. Zbl 0247.68026Rheinboldt, Werner C.; Basili, Victor R.; Mesztenyi, Charles K. 2 1972 On a general estimation principle and a theory of comparison factors. Zbl 0194.09102Rheinboldt, W. C. 2 1966 The role of the tangent mapping in analyzing bifurcation behaviour. Zbl 0588.65041Fink, J. P.; Rheinboldt, W. C. 2 1984 On a moving-frame algorithm and the triangulation of equilibrium manifolds. Zbl 0652.65039Rheinboldt, Werner C. 1 1987 Adaptive finite element processes in structural mechanics. Zbl 0569.65078Babuška, Ivo; Rheinboldt, Werner C. 1 1984 Punch stretching of sheet metal and differential equations on manifolds. Zbl 0628.73057Cavendish, James C.; Wenner, Michael L.; Burkardt, John; Hall, Charles A.; Rheinboldt, Werner C. 1 1988 The mathematics of finite elements and applications II. Mafelap 1975. Proceedings of the Brunel University conference of the Institute of Mathematics and Its Applications held in April 1975. Zbl 0351.65027 1 1976 Differential-geometric computational methods for nonlinear problems. Zbl 0843.65040Rheinboldt, Werner C. 1 1996 Zur Berechnung stationärer Grenzschichten bei kontinuierlicher Absaugung mit unstetig veränderlicher Absaugegeschwindigkeit. Zbl 0070.20108Rheinboldt, Werner 1 1956 Non-self-adjoint boundary value problems in ordinary differential equations. Zbl 0094.28502Greub, Werner; Rheinboldt, Werner C. 1 1960 A survey of a posteriori error estimators and adaptive approaches in the finite element method. Zbl 0612.73071Babuška, Ivo; Rheinboldt, Werner C. 1 1983 Zur äußeren Randbedingung bei den Grenzschichtgleichungen. Zbl 0073.20704Rheinboldt, W. 1 1956 Theoretical and numerical analysis of differential-algebraic equations. Zbl 1007.65057Rabier, Patrick J.; Rheinboldt, Werner C. 43 2002 Iterative solution of nonlinear equations in several variables. Zbl 0949.65053Ortega, J. M.; Rheinboldt, W. C. 247 2000 Numerical continuation methods: a perspective. Zbl 0966.65049Rheinboldt, Werner C. 7 2000 Nonholonomic motion of rigid mechanical systems from a DAE viewpoint. Zbl 0942.70001Rabier, Patrick J.; Rheinboldt, Werner C. 25 1999 Computing smooth solutions of DAEs for elastic multibody systems. Zbl 0954.74027Rheinboldt, W. C.; Simeon, B. 4 1999 Methods for solving systems of nonlinear equations. 2nd ed. Zbl 0906.65051Rheinboldt, Werner C. 50 1998 Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms. Zbl 0871.65066Rheinboldt, W. C. 7 1997 Classical and generalized solutions of time-dependent linear differential-algebraic equations. Zbl 0857.34005Rabier, Patrick J.; Rheinboldt, Werner C. 17 1996 A posteriori finite element error estimators for parametrized nonlinear boundary value problems. Zbl 0860.65104Liu, Jinn-Liang; Rheinboldt, Werner C. 7 1996 MANPAK: A set of algorithms for computations on implicitly defined manifolds. Zbl 0883.65044Rheinboldt, W. C. 6 1996 Time-dependent linear DAEs with discontinuous inputs. Zbl 0864.65044Rabier, Patrick J.; Rheinboldt, Werner C. 5 1996 Discontinuous solutions of semilinear differential-algebraic equations. I: Distribution solutions. Zbl 0865.34003Rabier, Patrick J.; Rheinboldt, Werner C. 4 1996 Geometric notes on optimization with equality constraints. Zbl 0852.90119Rheinboldt, W. C. 3 1996 Discontinuous solutions of semilinear differential-algebraic equations. II: \({\mathcal P}\)-consistency. Zbl 0863.34001Rabier, Patrick J.; Rheinboldt, Werner C. 2 1996 Differential-geometric computational methods for nonlinear problems. Zbl 0843.65040Rheinboldt, Werner C. 1 1996 On the numerical solution of the Euler-Lagrange equations. Zbl 0818.65064Rabier, Patrick J.; Rheinboldt, Werner C. 7 1995 Performance analysis of some methods for solving Euler-Lagrange equations. Zbl 0813.65093Rheinboldt, W. C.; Simeon, B. 3 1995 A geometric treatment of implicit differential-algebraic equations. Zbl 0804.34004Rabier, Patrick J.; Rheinboldt, Werner C. 57 1994 On impasse points of quasilinear differential-algebraic equations. Zbl 0803.34004Rabier, Patrick J.; Rheinboldt, Werner C. 38 1994 On the computation of impasse points of quasi-linear differential- algebraic equations. Zbl 0793.65050Rabier, Patrick J.; Rheinboldt, Werner C. 20 1994 Finite difference methods for time dependent, linear differential algebraic equations. Zbl 0792.65048Rabier, P. J.; Rheinboldt, W. C. 12 1994 A posteriori finite element error estimators for indefinite elliptic boundary value problems. Zbl 0799.65108Liu, Jinn-Liang; Rheinboldt, Werner C. 7 1994 The computation of simplicial approximations of implicitly defined two- dimensional manifolds. Zbl 0815.65068Brodzik, M. L.; Rheinboldt, W. C. 7 1994 On the theory and error estimation of the reduced basis method for multi- parameter problems. Zbl 0802.65068Rheinboldt, Werner C. 16 1993 On the sensitivity of solutions of parametrized equations. Zbl 0776.65038Rheinboldt, Werner C. 2 1993 A general existence and uniqueness theory for implicit differential- algebraic equations. Zbl 0722.34004Rabier, Patrick J.; Rheinboldt, Werner C. 23 1991 Differential-geometric techniques for solving differential algebraic equations. Zbl 0763.65058Potra, Florian A.; Rheinboldt, Werner C. 14 1991 On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations. Zbl 0722.34044Rheinboldt, Werner C. 10 1991 On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0699.65037Rabier, Patrick J.; Rheinboldt, Werner C. 10 1990 On the computation of manifolds of foldpoints for parameter-dependent problems. Zbl 0699.65038Dai, Rui-Xiu; Rheinboldt, Werner C. 10 1990 Aspects of continuation software. Zbl 0711.65037Rheinboldt, W. C.; Roose, D.; Seydel, R. 5 1990 On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0679.65034Rabier, Patrick J.; Rheinboldt, Werner C. 2 1990 On the computation of multi-dimensional solution manifolds of parametrized equations. Zbl 0676.65047Rheinboldt, Werner C. 36 1988 On a theorem of S. Smale about Newton’s method for analytic mappings. Zbl 0631.65064Rheinboldt, Werner C. 12 1988 Punch stretching of sheet metal and differential equations on manifolds. Zbl 0628.73057Cavendish, James C.; Wenner, Michael L.; Burkardt, John; Hall, Charles A.; Rheinboldt, Werner C. 1 1988 A geometric framework for the numerical study of singular points. Zbl 0623.65065Fink, James P.; Rheinboldt, Werner C. 10 1987 On a moving-frame algorithm and the triangulation of equilibrium manifolds. Zbl 0652.65039Rheinboldt, Werner C. 1 1987 On the monotone convergence of Newton’s method. Zbl 0572.65034Potra, F. A.; Rheinboldt, W. C. 59 1986 Numerical analysis of parametrized nonlinear equations. Zbl 0582.65042Rheinboldt, Werner C. 54 1986 A mesh-independence principle for operator equations and their discretizations. Zbl 0591.65043Allgower, E. L.; Böhmer, K.; Potra, F. A.; Rheinboldt, W. C. 52 1986 Error estimates for nonlinear finite element computations. Zbl 0581.73086Rheinboldt, Werner C. 6 1985 Local error estimates for parametrized nonlinear equations. Zbl 0583.65038Fink, James P.; Rheinboldt, Werner C. 4 1985 Differential-algebraic systems as differential equations on manifolds. Zbl 0581.65058Rheinboldt, Werner C. 51 1984 Solution manifolds and submanifolds of parametrized equations and their discretization errors. Zbl 0555.65034Fink, James P.; Rheinboldt, Werner C. 9 1984 A mathematical model for the verification of systolic networks. Zbl 0546.94031Melhem, Rami G.; Rheinboldt, Werner C. 7 1984 The role of the tangent mapping in analyzing bifurcation behaviour. Zbl 0588.65041Fink, J. P.; Rheinboldt, W. C. 2 1984 Adaptive finite element processes in structural mechanics. Zbl 0569.65078Babuška, Ivo; Rheinboldt, Werner C. 1 1984 On the error behavior of the reduced basis technique for nonlinear finite element approximations. Zbl 0533.73071Fink, J. P.; Rheinboldt, W. C. 56 1983 A locally parametrized continuation process. Zbl 0516.65029Rheinboldt, Werner C.; Burkardt, John V. 40 1983 On the discretization error of parametrized nonlinear equations. Zbl 0525.65041Fink, James P.; Rheinboldt, Werner C. 12 1983 Solution techniques for nonlinear finite element equations. Zbl 0542.73099Rheinboldt, W. C.; Riks, E. 5 1983 A survey of a posteriori error estimators and adaptive approaches in the finite element method. Zbl 0612.73071Babuška, Ivo; Rheinboldt, Werner C. 1 1983 Computational error estimates and adaptive processes for some nonlinear structural problems. Zbl 0528.65047Babuška, Ivo; Rheinboldt, Werner C. 19 1982 A comparison of methods for determining turning points of nonlinear equations. Zbl 0479.65032Melhem, R. G.; Rheinboldt, W. C. 18 1982 Computation of critical boundaries on equilibrium manifolds. Zbl 0489.65033Rheinboldt, Werner C. 16 1982 A posteriori error analysis of finite element solutions for one- dimensional problems. Zbl 0487.65060Babuška, Ivo; Rheinboldt, Werner C. 42 1981 On steplength algorithms for a class of continuation methods. Zbl 0472.65042den Heijer, C.; Rheinboldt, W. C. 30 1981 Numerical analysis of continuation methods for nonlinear structural problems. Zbl 0465.65030Rheinboldt, Werner C. 24 1981 Adaptive mesh refinement processes for finite element solutions. Zbl 0485.65057Rheinboldt, Werner C. 12 1981 Solution fields of nonlinear equations and continuation methods. Zbl 0431.65035Rheinboldt, Werner C. 44 1980 On a data structure for adaptive finite element mesh refinements. Zbl 0437.65081Rheinboldt, Werner C.; Mesztenyi, Charles K. 27 1980 On a theory of mesh-refinement processes. Zbl 0472.65009Rheinboldt, Werner C. 12 1980 Reliable error estimation and mesh adaptation for the finite element method. Zbl 0451.65078Babuška, Ivo; Rheinboldt, Werner C. 5 1980 Analysis of optimal finite-element meshes in \(R^1\). Zbl 0431.65055Babuška, Ivo; Rheinboldt, W. C. 44 1979 Adaptive approaches and reliability estimations in finite element analysis. Zbl 0396.73077Babuška, Ivo; Rheinboldt, W. C. 38 1979 On the reliability and optimality of the finite element method. Zbl 0395.65058Babuška, Ivo; Rheinboldt, W. C. 7 1979 Design of an adaptive, parallel finite-element system. Zbl 0401.65066Zave, Pamela; Rheinboldt, Werner C. 6 1979 Error estimates for adaptive finite element computations. Zbl 0398.65069Babuška, Ivo; Rheinboldt, W. C. 466 1978 A-posteriori error estimates for the finite element method. Zbl 0396.65068Babuška, Ivo; Rheinboldt, W. C. 387 1978 Numerical methods for a class of finite dimensional bifurcation problems. Zbl 0389.65024Rheinboldt, Werner C. 28 1978 An adaptive continuation process for solving systems of nonlinear equations. Zbl 0378.65029Rheinboldt, Werner C. 23 1978 Mathematical problems of computational decisions in the finite element method. Zbl 0361.65096Babuška, Ivo; Rheinboldt, W. C. 4 1977 Computational aspects of the finite element method. Zbl 0407.68035Babuška, Ivo; Rheinboldt, W. 3 1977 On the evaluation of multivariate polynomials and their derivatives. Zbl 0387.65014Rheinboldt, W. C.; Mesztenyi, C. K.; Fitzgerald, J. M. 3 1977 On measures of ill-conditioning for nonlinear equations. Zbl 0328.65032Rheinboldt, Werner C. 2 1976 The mathematics of finite elements and applications II. Mafelap 1975. Proceedings of the Brunel University conference of the Institute of Mathematics and Its Applications held in April 1975. Zbl 0351.65027 1 1976 On piecewise affine mappings in \(R^n\). Zbl 0322.65028Rheinboldt, Werner C.; Vandergraft, James S. 5 1975 Methods for solving systems of nonlinear equations. Zbl 0325.65022Rheinboldt, Werner C. 31 1974 On the local convergence of update methods. Zbl 0288.65029Rheinboldt, Werner C.; Vandergraft, James S. 4 1974 On a characterization of tridiagonal matrices by M. Fiedler. Zbl 0273.15021Rheinboldt, Werner C.; Shepherd, Roger A. 3 1974 On P- and S-functions and related classes of \(n\)-dimensional nonlinear mappings. Zbl 0247.65038More, J.; Rheinboldt, W. 72 1973 A simple approach to the Perron-Frobenius theory for positive operators on general partially-ordered finite-dimensional linear spaces. Zbl 0255.15017Rheinboldt, Werner C.; Vandergraft, James S. 36 1973 A general convergence result for unconstrained minimization methods. Zbl 0245.65030Ortega, James M.; Rheinboldt, Werner C. 2 1972 On a programming language for graph algorithms. Zbl 0247.68026Rheinboldt, Werner C.; Basili, Victor R.; Mesztenyi, Charles K. 2 1972 On classes of \(n\)-dimensional nonlinear mappings generalizing several types of matrices. Zbl 0253.65031Rheinboldt, Werner C. 4 1971 Iterative solution of nonlinear equations in several variables. Zbl 0241.65046Ortega, J. M.; Rheinboldt, W. C. 2,600 1970 On \(M\)-functions and their application to nonlinear Gauss-Seidel iterations and to network flows. Zbl 0206.46504Rheinboldt, W. C. 46 1970 Local and global convergence of generalized linear iterations. Zbl 0224.65017Ortega, James M.; Rheinboldt, Werner C. 6 1970 Local mapping relations and global implicit function theorems. Zbl 0175.45201Rheinboldt, W. C. 27 1969 On M-functions and their application to non-linear Gauss-Seidel iterations and to network flows. Zbl 0183.44901Rheinboldt, W. C. 6 1969 A unified convergence theory for a class of iterative processes. Zbl 0155.46701Rheinboldt, W. C. 119 1968 Monotone iterations for nonlinear equations with application to Gauß- Seidel methods. Zbl 0161.35401Ortega, J. M.; Rheinboldt, W. C. 62 1967 On a class of approximate iterative processes. Zbl 0149.11002Ortega, J. M.; Rheinboldt, W. C. 9 1967 On discretization and differentiation of operators with application to Newton’s method. Zbl 0143.17001Ortega, J. M.; Rheinboldt, W. C. 11 1966 Computational methods for determining lower bounds for eigenvalues of operators in Hilbert spaces. Zbl 0161.35504Fox, D. W.; Rheinboldt, W. C. 7 1966 On a general estimation principle and a theory of comparison factors. Zbl 0194.09102Rheinboldt, W. C. 2 1966 Non-self-adjoint boundary value problems in ordinary differential equations. Zbl 0094.28502Greub, Werner; Rheinboldt, Werner C. 1 1960 On a generalization of an inequality of L. V. Kantorovich. Zbl 0093.12405Greub, Werner; Rheinboldt, Werner 46 1959 Zur Berechnung stationärer Grenzschichten bei kontinuierlicher Absaugung mit unstetig veränderlicher Absaugegeschwindigkeit. Zbl 0070.20108Rheinboldt, Werner 1 1956 Zur äußeren Randbedingung bei den Grenzschichtgleichungen. Zbl 0073.20704Rheinboldt, W. 1 1956 all cited Publications top 5 cited Publications all top 5 Cited by 5,143 Authors 146 Argyros, Ioannis Konstantinos 38 Bai, Zhongzhi 34 Petković, Miodrag S. 34 Torregrosa Sanchez, Juan Ramón 33 Cordero, Alicia 33 Sharma, Janak Raj 31 Rheinboldt, Werner C. 31 Wu, Qingbiao 30 Hilout, Saïd 28 Martínez, José Mario 26 George, Santhosh 24 Hernández, Miguel Ángel 23 Ren, Hongmin 22 Chen, Jinhai 22 Riaza, Ricardo 21 Frommer, Andreas 21 Fukushima, Masao 21 Patera, Anthony T. 20 Behl, Ramandeep 20 Yamamoto, Tetsuro 19 Amat, Sergio P. 19 Magreñán, Ángel Alberto 19 Qi, Liqun 18 Busquier, Sonia 18 Pang, Jong-Shi 18 Zeng, Jinping 17 Chen, Xiaojun 17 Oden, John Tinsley 16 Carstensen, Carsten 16 Potra, Florian-Alexandru 16 Vrahatis, Michael N. 16 Yang, Yidu 15 Kou, Jisheng 15 Milovanović, Gradimir V. 15 Repin, Sergeĭ Igorevich 14 Campbell, Stephen LaVern 14 Gupta, Dharmendra Kumar 14 Jódar Sanchez, Lucas Antonio 13 Alefeld, Götz E. 13 Galligani, Emanuele 13 Gutiérrez, José Manuel 13 Kelley, Carl T. 13 Maday, Yvon 13 Sharma, Rajni 13 Ypma, Tjalling J. 12 Evans, David John 12 Ezquerro, José Antonio 12 Huang, Qiumei 12 Ladevèze, Pierre 12 Mayer, Günter 12 Mehrmann, Volker 12 Schmidt, Jochen Wilhelm 12 Wang, Yuanming 11 Grau-Sánchez, Miquel 11 Kanwar, Vinay 11 Kanzow, Christian 11 Ma, Changfeng 11 Parhi, Sanjaya Kumar 11 Stein, Erwin 11 Sun, Defeng 11 Szyld, Daniel B. 11 Tapia, Richard A. 11 Wang, Deren 10 Babuška, Ivo 10 Díez, Pedro 10 Fečkan, Michal 10 Kunkel, Peter 10 Liu, Jinn-Liang 10 März, Roswitha 10 Moret, Igor 10 Noor, Muhammad Aslam 10 Spiteri, Pierre 10 Zheng, Quan 9 Arora, Himani 9 Bi, Hai 9 Chien, Cheng-Sheng 9 Jaiswal, Jai Prakash 9 Neta, Beny 9 Nguyen, Ngoc Cuong 9 Nochetto, Ricardo Horacio 9 Rabier, Patrick J. 9 Śmietański, Marek J. 9 Song, Yongzhong 9 Sun, Zhe 9 Tawhid, Mohamed Aly 9 Toint, Philippe L. 9 Zienkiewicz, Olgierd Cecil 8 Agarwal, Ravi P. 8 Bank, Randolph E. 8 Cho, Yeol Je 8 Chun, Changbum 8 Cvetković, Aleksandar S. 8 Dennis, John E. jun. 8 Dương Việt Thông 8 Džunić, Jovana 8 Eriksson, Anders B. 8 Ewing, Richard Edward 8 Grapsa, Theodoula N. 8 Hernández-Verón, Miguel Ángel 8 Hoppe, Ronald H. W. ...and 5,043 more Authors all top 5 Cited in 490 Serials 320 Journal of Computational and Applied Mathematics 291 Applied Mathematics and Computation 257 Computer Methods in Applied Mechanics and Engineering 187 Numerische Mathematik 148 Journal of Optimization Theory and Applications 133 Computers & Mathematics with Applications 125 Linear Algebra and its Applications 121 Computing 116 Applied Numerical Mathematics 111 Numerical Algorithms 101 International Journal of Computer Mathematics 96 Mathematical Programming. Series A. 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Series B (English Edition) 8 International Journal of Applied and Computational Mathematics 7 Applicable Analysis 7 Computer Physics Communications 7 Japan Journal of Applied Mathematics 7 Journal of Economic Dynamics & Control 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 7 Communications in Nonlinear Science and Numerical Simulation 7 Differential Equations 7 Discrete and Continuous Dynamical Systems. Series B 6 Physics Letters. A 6 Cybernetics ...and 390 more Serials all top 5 Cited in 59 Fields 3,172 Numerical analysis (65-XX) 847 Operations research, mathematical programming (90-XX) 573 Partial differential equations (35-XX) 427 Operator theory (47-XX) 414 Ordinary differential equations (34-XX) 387 Calculus of variations and optimal control; optimization (49-XX) 352 Mechanics of deformable solids (74-XX) 276 Fluid mechanics (76-XX) 183 Linear and multilinear algebra; matrix theory (15-XX) 156 Systems theory; control (93-XX) 150 Statistics (62-XX) 140 Computer science (68-XX) 91 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 88 Dynamical systems and ergodic theory (37-XX) 84 Real functions (26-XX) 71 Approximations and expansions (41-XX) 71 Biology and other natural sciences (92-XX) 69 Integral equations (45-XX) 63 Mechanics of particles and systems (70-XX) 62 Optics, electromagnetic theory (78-XX) 59 Functions of a complex variable (30-XX) 54 Probability theory and stochastic processes (60-XX) 53 Classical thermodynamics, heat transfer (80-XX) 51 Information and communication theory, circuits (94-XX) 37 Difference and functional equations (39-XX) 34 Global analysis, analysis on manifolds (58-XX) 29 Functional analysis (46-XX) 28 Field theory and polynomials (12-XX) 28 General topology (54-XX) 27 Statistical mechanics, structure of matter (82-XX) 24 Algebraic topology (55-XX) 20 Geophysics (86-XX) 18 Combinatorics (05-XX) 12 Differential geometry (53-XX) 9 Convex and discrete geometry (52-XX) 9 Quantum theory (81-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 History and biography (01-XX) 7 Mathematical logic and foundations (03-XX) 7 Commutative algebra (13-XX) 7 Algebraic geometry (14-XX) 7 Geometry (51-XX) 7 Astronomy and astrophysics (85-XX) 6 General and overarching topics; collections (00-XX) 6 Integral transforms, operational calculus (44-XX) 6 Manifolds and cell complexes (57-XX) 5 Number theory (11-XX) 5 Group theory and generalizations (20-XX) 5 Measure and integration (28-XX) 5 Special functions (33-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Potential theory (31-XX) 3 Sequences, series, summability (40-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Relativity and gravitational theory (83-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Mathematics education (97-XX) Citations by Year