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## Rheinboldt, Werner C.

Compute Distance To:
 Author ID: rheinboldt.werner-c Published as: Rheinboldt, W.; Rheinboldt, W. C.; Rheinboldt, Werner; Rheinboldt, Werner C.
 Documents Indexed: 115 Publications since 1955, including 8 Books Reviewing Activity: 212 Reviews
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#### Co-Authors

 39 single-authored 14 Rabier, Patrick J. 13 Babuška, Ivo 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 Dai, Rui-Xiu 1 den Heijer, Cor 1 Fitzgerald, J. M. 1 Fox, David W. 1 Gelman, Alex 1 More, J. 1 Riks, Eduard 1 Roose, Dirk 1 Seydel, Rüdiger U. 1 Shepherd, Roger A. 1 Zave, Pamela
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#### 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
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#### Fields

 87 Numerical analysis (65-XX) 21 Ordinary differential equations (34-XX) 16 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 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)

#### Citations contained in zbMATH Open

99 Publications have been cited 5,289 times in 4,350 Documents Cited by Year
Iterative solution of nonlinear equations in several variables. Zbl 0241.65046
Ortega, J. M.; Rheinboldt, W. C.
1970
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
1978
A-posteriori error estimates for the finite element method. Zbl 0396.65068
Babuška, Ivo; Rheinboldt, W. C.
1978
Iterative solution of nonlinear equations in several variables. Zbl 0949.65053
Ortega, J. M.; Rheinboldt, W. C.
2000
A unified convergence theory for a class of iterative processes. Zbl 0155.46701
Rheinboldt, W. C.
1968
Numerical analysis of parametrized nonlinear equations. Zbl 0582.65042
Rheinboldt, Werner C.
1986
On P- and S-functions and related classes of $$n$$-dimensional nonlinear mappings. Zbl 0247.65038
More, J.; Rheinboldt, W.
1973
On the monotone convergence of Newton’s method. Zbl 0572.65034
Potra, F. A.; Rheinboldt, W. C.
1986
Monotone iterations for nonlinear equations with application to Gauß- Seidel methods. Zbl 0161.35401
Ortega, J. M.; Rheinboldt, W. C.
1967
On the error behavior of the reduced basis technique for nonlinear finite element approximations. Zbl 0533.73071
Fink, J. P.; Rheinboldt, W. C.
1983
Methods for solving systems of nonlinear equations. 2nd ed. Zbl 0906.65051
Rheinboldt, Werner C.
1998
A geometric treatment of implicit differential-algebraic equations. Zbl 0804.34004
Rabier, Patrick J.; Rheinboldt, Werner C.
1994
A mesh-independence principle for operator equations and their discretizations. Zbl 0591.65043
Allgower, E. L.; Böhmer, K.; Potra, F. A.; Rheinboldt, W. C.
1986
Differential-algebraic systems as differential equations on manifolds. Zbl 0581.65058
Rheinboldt, Werner C.
1984
On $$M$$-functions and their application to nonlinear Gauss-Seidel iterations and to network flows. Zbl 0206.46504
Rheinboldt, W. C.
1970
Solution fields of nonlinear equations and continuation methods. Zbl 0431.65035
Rheinboldt, Werner C.
1980
On a generalization of an inequality of L. V. Kantorovich. Zbl 0093.12405
Greub, Werner; Rheinboldt, Werner
1959
Analysis of optimal finite-element meshes in $$R^1$$. Zbl 0431.65055
Babuška, Ivo; Rheinboldt, W. C.
1979
Theoretical and numerical analysis of differential-algebraic equations. Zbl 1007.65057
Rabier, Patrick J.; Rheinboldt, Werner C.
2002
A locally parametrized continuation process. Zbl 0516.65029
Rheinboldt, Werner C.; Burkardt, John V.
1983
A posteriori error analysis of finite element solutions for one- dimensional problems. Zbl 0487.65060
Babuška, Ivo; Rheinboldt, Werner C.
1981
An adaptive continuation process for solving systems of nonlinear equations. Zbl 0378.65029
Rheinboldt, Werner C.
1978
On impasse points of quasilinear differential-algebraic equations. Zbl 0803.34004
Rabier, Patrick J.; Rheinboldt, Werner C.
1994
On the computation of multi-dimensional solution manifolds of parametrized equations. Zbl 0676.65047
Rheinboldt, Werner C.
1988
Methods for solving systems of nonlinear equations. Zbl 0325.65022
Rheinboldt, Werner C.
1974
A simple approach to the Perron-Frobenius theory for positive operators on general partially-ordered finite-dimensional linear spaces. Zbl 0255.15017
Rheinboldt, Werner C.; Vandergraft, James S.
1973
Adaptive approaches and reliability estimations in finite element analysis. Zbl 0396.73077
Babuška, Ivo; Rheinboldt, W. C.
1979
On steplength algorithms for a class of continuation methods. Zbl 0472.65042
den Heijer, C.; Rheinboldt, W. C.
1981
Numerical methods for a class of finite dimensional bifurcation problems. Zbl 0389.65024
Rheinboldt, Werner C.
1978
On a data structure for adaptive finite element mesh refinements. Zbl 0437.65081
Rheinboldt, Werner C.; Mesztenyi, Charles K.
1980
Numerical analysis of continuation methods for nonlinear structural problems. Zbl 0465.65030
Rheinboldt, Werner C.
1981
Nonholonomic motion of rigid mechanical systems from a DAE viewpoint. Zbl 0942.70001
Rabier, Patrick J.; Rheinboldt, Werner C.
1999
Local mapping relations and global implicit function theorems. Zbl 0175.45201
Rheinboldt, W. C.
1969
A general existence and uniqueness theory for implicit differential- algebraic equations. Zbl 0722.34004
Rabier, Patrick J.; Rheinboldt, Werner C.
1991
On the computation of impasse points of quasi-linear differential- algebraic equations. Zbl 0793.65050
Rabier, Patrick J.; Rheinboldt, Werner C.
1994
Classical and generalized solutions of time-dependent linear differential-algebraic equations. Zbl 0857.34005
Rabier, Patrick J.; Rheinboldt, Werner C.
1996
Computational error estimates and adaptive processes for some nonlinear structural problems. Zbl 0528.65047
Babuška, Ivo; Rheinboldt, Werner C.
1982
A comparison of methods for determining turning points of nonlinear equations. Zbl 0479.65032
Melhem, R. G.; Rheinboldt, W. C.
1982
On the theory and error estimation of the reduced basis method for multi- parameter problems. Zbl 0802.65068
Rheinboldt, Werner C.
1993
Differential-geometric techniques for solving differential algebraic equations. Zbl 0763.65058
Potra, Florian A.; Rheinboldt, Werner C.
1991
Computation of critical boundaries on equilibrium manifolds. Zbl 0489.65033
Rheinboldt, Werner C.
1982
On a theorem of S. Smale about Newton’s method for analytic mappings. Zbl 0631.65064
Rheinboldt, Werner C.
1988
On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations. Zbl 0722.34044
Rheinboldt, Werner C.
1991
On the discretization error of parametrized nonlinear equations. Zbl 0525.65041
Fink, James P.; Rheinboldt, Werner C.
1983
Adaptive mesh refinement processes for finite element solutions. Zbl 0485.65057
Rheinboldt, Werner C.
1981
On a theory of mesh-refinement processes. Zbl 0472.65009
Rheinboldt, Werner C.
1980
On discretization and differentiation of operators with application to Newton’s method. Zbl 0143.17001
Ortega, J. M.; Rheinboldt, W. C.
1966
Finite difference methods for time dependent, linear differential algebraic equations. Zbl 0792.65048
Rabier, P. J.; Rheinboldt, W. C.
1994
On the computation of manifolds of foldpoints for parameter-dependent problems. Zbl 0699.65038
Dai, Rui-Xiu; Rheinboldt, Werner C.
1990
On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0699.65037
Rabier, Patrick J.; Rheinboldt, Werner C.
1990
A geometric framework for the numerical study of singular points. Zbl 0623.65065
Fink, James P.; Rheinboldt, Werner C.
1987
On a class of approximate iterative processes. Zbl 0149.11002
Ortega, J. M.; Rheinboldt, W. C.
1967
Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms. Zbl 0871.65066
Rheinboldt, W. C.
1997
On the numerical solution of the Euler-Lagrange equations. Zbl 0818.65064
Rabier, Patrick J.; Rheinboldt, Werner C.
1995
Solution manifolds and submanifolds of parametrized equations and their discretization errors. Zbl 0555.65034
Fink, James P.; Rheinboldt, Werner C.
1984
Numerical continuation methods: a perspective. Zbl 0966.65049
Rheinboldt, Werner C.
2000
A posteriori finite element error estimators for parametrized nonlinear boundary value problems. Zbl 0860.65104
Liu, Jinn-Liang; Rheinboldt, Werner C.
1996
The computation of simplicial approximations of implicitly defined two- dimensional manifolds. Zbl 0815.65068
Brodzik, M. L.; Rheinboldt, W. C.
1994
A posteriori finite element error estimators for indefinite elliptic boundary value problems. Zbl 0799.65108
Liu, Jinn-Liang; Rheinboldt, Werner C.
1994
A mathematical model for the verification of systolic networks. Zbl 0546.94031
Melhem, Rami G.; Rheinboldt, Werner C.
1984
On the reliability and optimality of the finite element method. Zbl 0395.65058
Babuška, Ivo; Rheinboldt, W. C.
1979
Computational methods for determining lower bounds for eigenvalues of operators in Hilbert spaces. Zbl 0161.35504
Fox, D. W.; Rheinboldt, W. C.
1966
Aspects of continuation software. Zbl 0711.65037
Rheinboldt, W. C.; Roose, D.; Seydel, R.
1990
Error estimates for nonlinear finite element computations. Zbl 0581.73086
Rheinboldt, Werner C.
1985
Reliable error estimation and mesh adaptation for the finite element method. Zbl 0451.65078
Babuška, Ivo; Rheinboldt, Werner C.
1980
Design of an adaptive, parallel finite-element system. Zbl 0401.65066
Zave, Pamela; Rheinboldt, Werner C.
1979
On M-functions and their application to non-linear Gauss-Seidel iterations and to network flows. Zbl 0183.44901
Rheinboldt, W. C.
1969
MANPAK: A set of algorithms for computations on implicitly defined manifolds. Zbl 0883.65044
Rheinboldt, W. C.
1996
Time-dependent linear DAEs with discontinuous inputs. Zbl 0864.65044
Rabier, Patrick J.; Rheinboldt, Werner C.
1996
Local error estimates for parametrized nonlinear equations. Zbl 0583.65038
Fink, James P.; Rheinboldt, Werner C.
1985
Solution techniques for nonlinear finite element equations. Zbl 0542.73099
Rheinboldt, W. C.; Riks, E.
1983
On piecewise affine mappings in $$R^n$$. Zbl 0322.65028
Rheinboldt, Werner C.; Vandergraft, James S.
1975
On classes of $$n$$-dimensional nonlinear mappings generalizing several types of matrices. Zbl 0253.65031
Rheinboldt, Werner C.
1971
Local and global convergence of generalized linear iterations. Zbl 0224.65017
Ortega, James M.; Rheinboldt, Werner C.
1970
Computing smooth solutions of DAEs for elastic multibody systems. Zbl 0954.74027
Rheinboldt, W. C.; Simeon, B.
1999
Discontinuous solutions of semilinear differential-algebraic equations. I: Distribution solutions. Zbl 0865.34003
Rabier, Patrick J.; Rheinboldt, Werner C.
1996
On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0679.65034
Rabier, Patrick J.; Rheinboldt, Werner C.
1990
On a moving-frame algorithm and the triangulation of equilibrium manifolds. Zbl 0652.65039
Rheinboldt, Werner C.
1987
Mathematical problems of computational decisions in the finite element method. Zbl 0361.65096
Babuška, Ivo; Rheinboldt, W. C.
1977
On the local convergence of update methods. Zbl 0288.65029
Rheinboldt, Werner C.; Vandergraft, James S.
1974
Computational aspects of the finite element method. Zbl 0407.68035
Babuška, Ivo; Rheinboldt, W.
1977
On measures of ill-conditioning for nonlinear equations. Zbl 0328.65032
Rheinboldt, Werner C.
1976
On a characterization of tridiagonal matrices by M. Fiedler. Zbl 0273.15021
Rheinboldt, Werner C.; Shepherd, Roger A.
1974
Discontinuous solutions of semilinear differential-algebraic equations. II: $${\mathcal P}$$-consistency. Zbl 0863.34001
Rabier, Patrick J.; Rheinboldt, Werner C.
1996
Geometric notes on optimization with equality constraints. Zbl 0852.90119
Rheinboldt, W. C.
1996
Performance analysis of some methods for solving Euler-Lagrange equations. Zbl 0813.65093
Rheinboldt, W. C.; Simeon, B.
1995
On the sensitivity of solutions of parametrized equations. Zbl 0776.65038
Rheinboldt, Werner C.
1993
The role of the tangent mapping in analyzing bifurcation behaviour. Zbl 0588.65041
Fink, J. P.; Rheinboldt, W. C.
1984
A survey of a posteriori error estimators and adaptive approaches in the finite element method. Zbl 0612.73071
Babuška, Ivo; Rheinboldt, Werner C.
1983
On the evaluation of multivariate polynomials and their derivatives. Zbl 0387.65014
Rheinboldt, W. C.; Mesztenyi, C. K.; Fitzgerald, J. M.
1977
On a programming language for graph algorithms. Zbl 0247.68026
Rheinboldt, Werner C.; Basili, Victor R.; Mesztenyi, Charles K.
1972
A general convergence result for unconstrained minimization methods. Zbl 0245.65030
Ortega, James M.; Rheinboldt, Werner C.
1972
On a general estimation principle and a theory of comparison factors. Zbl 0194.09102
Rheinboldt, W. C.
1966
Differential-geometric computational methods for nonlinear problems. Zbl 0843.65040
Rheinboldt, Werner C.
1996
Punch stretching of sheet metal and differential equations on manifolds. Zbl 0628.73057
Cavendish, James C.; Wenner, Michael L.; Burkardt, John; Hall, Charles A.; Rheinboldt, Werner C.
1988
Adaptive finite element processes in structural mechanics. Zbl 0569.65078
Babuška, Ivo; Rheinboldt, Werner C.
1984
Non-self-adjoint boundary value problems in ordinary differential equations. Zbl 0094.28502
Greub, Werner; Rheinboldt, Werner C.
1960
Zur äußeren Randbedingung bei den Grenzschichtgleichungen. Zbl 0073.20704
Rheinboldt, W.
1956
Zur Berechnung stationärer Grenzschichten bei kontinuierlicher Absaugung mit unstetig veränderlicher Absaugegeschwindigkeit. Zbl 0070.20108
Rheinboldt, Werner
1956
Theoretical and numerical analysis of differential-algebraic equations. Zbl 1007.65057
Rabier, Patrick J.; Rheinboldt, Werner C.
2002
Iterative solution of nonlinear equations in several variables. Zbl 0949.65053
Ortega, J. M.; Rheinboldt, W. C.
2000
Numerical continuation methods: a perspective. Zbl 0966.65049
Rheinboldt, Werner C.
2000
Nonholonomic motion of rigid mechanical systems from a DAE viewpoint. Zbl 0942.70001
Rabier, Patrick J.; Rheinboldt, Werner C.
1999
Computing smooth solutions of DAEs for elastic multibody systems. Zbl 0954.74027
Rheinboldt, W. C.; Simeon, B.
1999
Methods for solving systems of nonlinear equations. 2nd ed. Zbl 0906.65051
Rheinboldt, Werner C.
1998
Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms. Zbl 0871.65066
Rheinboldt, W. C.
1997
Classical and generalized solutions of time-dependent linear differential-algebraic equations. Zbl 0857.34005
Rabier, Patrick J.; Rheinboldt, Werner C.
1996
A posteriori finite element error estimators for parametrized nonlinear boundary value problems. Zbl 0860.65104
Liu, Jinn-Liang; Rheinboldt, Werner C.
1996
MANPAK: A set of algorithms for computations on implicitly defined manifolds. Zbl 0883.65044
Rheinboldt, W. C.
1996
Time-dependent linear DAEs with discontinuous inputs. Zbl 0864.65044
Rabier, Patrick J.; Rheinboldt, Werner C.
1996
Discontinuous solutions of semilinear differential-algebraic equations. I: Distribution solutions. Zbl 0865.34003
Rabier, Patrick J.; Rheinboldt, Werner C.
1996
Discontinuous solutions of semilinear differential-algebraic equations. II: $${\mathcal P}$$-consistency. Zbl 0863.34001
Rabier, Patrick J.; Rheinboldt, Werner C.
1996
Geometric notes on optimization with equality constraints. Zbl 0852.90119
Rheinboldt, W. C.
1996
Differential-geometric computational methods for nonlinear problems. Zbl 0843.65040
Rheinboldt, Werner C.
1996
On the numerical solution of the Euler-Lagrange equations. Zbl 0818.65064
Rabier, Patrick J.; Rheinboldt, Werner C.
1995
Performance analysis of some methods for solving Euler-Lagrange equations. Zbl 0813.65093
Rheinboldt, W. C.; Simeon, B.
1995
A geometric treatment of implicit differential-algebraic equations. Zbl 0804.34004
Rabier, Patrick J.; Rheinboldt, Werner C.
1994
On impasse points of quasilinear differential-algebraic equations. Zbl 0803.34004
Rabier, Patrick J.; Rheinboldt, Werner C.
1994
On the computation of impasse points of quasi-linear differential- algebraic equations. Zbl 0793.65050
Rabier, Patrick J.; Rheinboldt, Werner C.
1994
Finite difference methods for time dependent, linear differential algebraic equations. Zbl 0792.65048
Rabier, P. J.; Rheinboldt, W. C.
1994
The computation of simplicial approximations of implicitly defined two- dimensional manifolds. Zbl 0815.65068
Brodzik, M. L.; Rheinboldt, W. C.
1994
A posteriori finite element error estimators for indefinite elliptic boundary value problems. Zbl 0799.65108
Liu, Jinn-Liang; Rheinboldt, Werner C.
1994
On the theory and error estimation of the reduced basis method for multi- parameter problems. Zbl 0802.65068
Rheinboldt, Werner C.
1993
On the sensitivity of solutions of parametrized equations. Zbl 0776.65038
Rheinboldt, Werner C.
1993
A general existence and uniqueness theory for implicit differential- algebraic equations. Zbl 0722.34004
Rabier, Patrick J.; Rheinboldt, Werner C.
1991
Differential-geometric techniques for solving differential algebraic equations. Zbl 0763.65058
Potra, Florian A.; Rheinboldt, Werner C.
1991
On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations. Zbl 0722.34044
Rheinboldt, Werner C.
1991
On the computation of manifolds of foldpoints for parameter-dependent problems. Zbl 0699.65038
Dai, Rui-Xiu; Rheinboldt, Werner C.
1990
On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0699.65037
Rabier, Patrick J.; Rheinboldt, Werner C.
1990
Aspects of continuation software. Zbl 0711.65037
Rheinboldt, W. C.; Roose, D.; Seydel, R.
1990
On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0679.65034
Rabier, Patrick J.; Rheinboldt, Werner C.
1990
On the computation of multi-dimensional solution manifolds of parametrized equations. Zbl 0676.65047
Rheinboldt, Werner C.
1988
On a theorem of S. Smale about Newton’s method for analytic mappings. Zbl 0631.65064
Rheinboldt, Werner C.
1988
Punch stretching of sheet metal and differential equations on manifolds. Zbl 0628.73057
Cavendish, James C.; Wenner, Michael L.; Burkardt, John; Hall, Charles A.; Rheinboldt, Werner C.
1988
A geometric framework for the numerical study of singular points. Zbl 0623.65065
Fink, James P.; Rheinboldt, Werner C.
1987
On a moving-frame algorithm and the triangulation of equilibrium manifolds. Zbl 0652.65039
Rheinboldt, Werner C.
1987
Numerical analysis of parametrized nonlinear equations. Zbl 0582.65042
Rheinboldt, Werner C.
1986
On the monotone convergence of Newton’s method. Zbl 0572.65034
Potra, F. A.; Rheinboldt, W. C.
1986
A mesh-independence principle for operator equations and their discretizations. Zbl 0591.65043
Allgower, E. L.; Böhmer, K.; Potra, F. A.; Rheinboldt, W. C.
1986
Error estimates for nonlinear finite element computations. Zbl 0581.73086
Rheinboldt, Werner C.
1985
Local error estimates for parametrized nonlinear equations. Zbl 0583.65038
Fink, James P.; Rheinboldt, Werner C.
1985
Differential-algebraic systems as differential equations on manifolds. Zbl 0581.65058
Rheinboldt, Werner C.
1984
Solution manifolds and submanifolds of parametrized equations and their discretization errors. Zbl 0555.65034
Fink, James P.; Rheinboldt, Werner C.
1984
A mathematical model for the verification of systolic networks. Zbl 0546.94031
Melhem, Rami G.; Rheinboldt, Werner C.
1984
The role of the tangent mapping in analyzing bifurcation behaviour. Zbl 0588.65041
Fink, J. P.; Rheinboldt, W. C.
1984
Adaptive finite element processes in structural mechanics. Zbl 0569.65078
Babuška, Ivo; Rheinboldt, Werner C.
1984
On the error behavior of the reduced basis technique for nonlinear finite element approximations. Zbl 0533.73071
Fink, J. P.; Rheinboldt, W. C.
1983
A locally parametrized continuation process. Zbl 0516.65029
Rheinboldt, Werner C.; Burkardt, John V.
1983
On the discretization error of parametrized nonlinear equations. Zbl 0525.65041
Fink, James P.; Rheinboldt, Werner C.
1983
Solution techniques for nonlinear finite element equations. Zbl 0542.73099
Rheinboldt, W. C.; Riks, E.
1983
A survey of a posteriori error estimators and adaptive approaches in the finite element method. Zbl 0612.73071
Babuška, Ivo; Rheinboldt, Werner C.
1983
Computational error estimates and adaptive processes for some nonlinear structural problems. Zbl 0528.65047
Babuška, Ivo; Rheinboldt, Werner C.
1982
A comparison of methods for determining turning points of nonlinear equations. Zbl 0479.65032
Melhem, R. G.; Rheinboldt, W. C.
1982
Computation of critical boundaries on equilibrium manifolds. Zbl 0489.65033
Rheinboldt, Werner C.
1982
A posteriori error analysis of finite element solutions for one- dimensional problems. Zbl 0487.65060
Babuška, Ivo; Rheinboldt, Werner C.
1981
On steplength algorithms for a class of continuation methods. Zbl 0472.65042
den Heijer, C.; Rheinboldt, W. C.
1981
Numerical analysis of continuation methods for nonlinear structural problems. Zbl 0465.65030
Rheinboldt, Werner C.
1981
Adaptive mesh refinement processes for finite element solutions. Zbl 0485.65057
Rheinboldt, Werner C.
1981
Solution fields of nonlinear equations and continuation methods. Zbl 0431.65035
Rheinboldt, Werner C.
1980
On a data structure for adaptive finite element mesh refinements. Zbl 0437.65081
Rheinboldt, Werner C.; Mesztenyi, Charles K.
1980
On a theory of mesh-refinement processes. Zbl 0472.65009
Rheinboldt, Werner C.
1980
Reliable error estimation and mesh adaptation for the finite element method. Zbl 0451.65078
Babuška, Ivo; Rheinboldt, Werner C.
1980
Analysis of optimal finite-element meshes in $$R^1$$. Zbl 0431.65055
Babuška, Ivo; Rheinboldt, W. C.
1979
Adaptive approaches and reliability estimations in finite element analysis. Zbl 0396.73077
Babuška, Ivo; Rheinboldt, W. C.
1979
On the reliability and optimality of the finite element method. Zbl 0395.65058
Babuška, Ivo; Rheinboldt, W. C.
1979
Design of an adaptive, parallel finite-element system. Zbl 0401.65066
Zave, Pamela; Rheinboldt, Werner C.
1979
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
1978
A-posteriori error estimates for the finite element method. Zbl 0396.65068
Babuška, Ivo; Rheinboldt, W. C.
1978
An adaptive continuation process for solving systems of nonlinear equations. Zbl 0378.65029
Rheinboldt, Werner C.
1978
Numerical methods for a class of finite dimensional bifurcation problems. Zbl 0389.65024
Rheinboldt, Werner C.
1978
Mathematical problems of computational decisions in the finite element method. Zbl 0361.65096
Babuška, Ivo; Rheinboldt, W. C.
1977
Computational aspects of the finite element method. Zbl 0407.68035
Babuška, Ivo; Rheinboldt, W.
1977
On the evaluation of multivariate polynomials and their derivatives. Zbl 0387.65014
Rheinboldt, W. C.; Mesztenyi, C. K.; Fitzgerald, J. M.
1977
On measures of ill-conditioning for nonlinear equations. Zbl 0328.65032
Rheinboldt, Werner C.
1976
On piecewise affine mappings in $$R^n$$. Zbl 0322.65028
Rheinboldt, Werner C.; Vandergraft, James S.
1975
Methods for solving systems of nonlinear equations. Zbl 0325.65022
Rheinboldt, Werner C.
1974
On the local convergence of update methods. Zbl 0288.65029
Rheinboldt, Werner C.; Vandergraft, James S.
1974
On a characterization of tridiagonal matrices by M. Fiedler. Zbl 0273.15021
Rheinboldt, Werner C.; Shepherd, Roger A.
1974
On P- and S-functions and related classes of $$n$$-dimensional nonlinear mappings. Zbl 0247.65038
More, J.; Rheinboldt, W.
1973
A simple approach to the Perron-Frobenius theory for positive operators on general partially-ordered finite-dimensional linear spaces. Zbl 0255.15017
Rheinboldt, Werner C.; Vandergraft, James S.
1973
On a programming language for graph algorithms. Zbl 0247.68026
Rheinboldt, Werner C.; Basili, Victor R.; Mesztenyi, Charles K.
1972
A general convergence result for unconstrained minimization methods. Zbl 0245.65030
Ortega, James M.; Rheinboldt, Werner C.
1972
On classes of $$n$$-dimensional nonlinear mappings generalizing several types of matrices. Zbl 0253.65031
Rheinboldt, Werner C.
1971
Iterative solution of nonlinear equations in several variables. Zbl 0241.65046
Ortega, J. M.; Rheinboldt, W. C.
1970
On $$M$$-functions and their application to nonlinear Gauss-Seidel iterations and to network flows. Zbl 0206.46504
Rheinboldt, W. C.
1970
Local and global convergence of generalized linear iterations. Zbl 0224.65017
Ortega, James M.; Rheinboldt, Werner C.
1970
Local mapping relations and global implicit function theorems. Zbl 0175.45201
Rheinboldt, W. C.
1969
On M-functions and their application to non-linear Gauss-Seidel iterations and to network flows. Zbl 0183.44901
Rheinboldt, W. C.
1969
A unified convergence theory for a class of iterative processes. Zbl 0155.46701
Rheinboldt, W. C.
1968
Monotone iterations for nonlinear equations with application to Gauß- Seidel methods. Zbl 0161.35401
Ortega, J. M.; Rheinboldt, W. C.
1967
On a class of approximate iterative processes. Zbl 0149.11002
Ortega, J. M.; Rheinboldt, W. C.
1967
On discretization and differentiation of operators with application to Newton’s method. Zbl 0143.17001
Ortega, J. M.; Rheinboldt, W. C.
1966
Computational methods for determining lower bounds for eigenvalues of operators in Hilbert spaces. Zbl 0161.35504
Fox, D. W.; Rheinboldt, W. C.
1966
On a general estimation principle and a theory of comparison factors. Zbl 0194.09102
Rheinboldt, W. C.
1966
Non-self-adjoint boundary value problems in ordinary differential equations. Zbl 0094.28502
Greub, Werner; Rheinboldt, Werner C.
1960
On a generalization of an inequality of L. V. Kantorovich. Zbl 0093.12405
Greub, Werner; Rheinboldt, Werner
1959
Zur äußeren Randbedingung bei den Grenzschichtgleichungen. Zbl 0073.20704
Rheinboldt, W.
1956
Zur Berechnung stationärer Grenzschichten bei kontinuierlicher Absaugung mit unstetig veränderlicher Absaugegeschwindigkeit. Zbl 0070.20108
Rheinboldt, Werner
1956
all top 5

#### Cited by 5,177 Authors

 145 Argyros, Ioannis Konstantinos 38 Bai, Zhongzhi 34 Torregrosa Sanchez, Juan Ramón 33 Cordero, Alicia 33 Petković, Miodrag S. 32 Hilout, Saïd 31 Rheinboldt, Werner C. 27 Sharma, Janak Raj 27 Wu, Qingbiao 26 Martínez, José Mario 26 Ren, Hongmin 24 Hernández, Miguel Ángel 23 Chen, Jinhai 23 Riaza, Ricardo 22 George, Santhosh 21 Fukushima, Masao 21 Magreñán, Ángel Alberto 21 Patera, Anthony T. 20 Frommer, Andreas 20 Yamamoto, Tetsuro 19 Amat, Sergio P. 19 Behl, Ramandeep 19 Qi, Liqun 18 Busquier, Sonia 18 Pang, Jong-Shi 18 Vrahatis, Michael N. 18 Zeng, Jinping 17 Gupta, Dharmendra Kumar 17 Oden, John Tinsley 16 Carstensen, Carsten 16 Chen, Xiaojun 16 Potra, Florian-Alexandru 15 Repin, Sergeĭ Igorevich 14 Campbell, Stephen LaVern 14 Jódar Sanchez, Lucas Antonio 14 Kou, Jisheng 14 Milovanović, Gradimir V. 13 Alefeld, Götz E. 13 Galligani, Emanuele 13 Gutiérrez, José Manuel 13 Maday, Yvon 13 Mehrmann, Volker 13 Sharma, Rajni 13 Yang, Yidu 13 Ypma, Tjalling J. 12 Evans, David John 12 Ezquerro, José Antonio 12 Kelley, Carl T. 12 Ladevèze, Pierre 12 Mayer, Günter 12 Schmidt, Jochen Wilhelm 12 Wang, Yuanming 11 Grau-Sánchez, Miquel 11 Kanwar, Vinay 11 Kanzow, Christian 11 Stein, Erwin 11 Sun, Defeng 11 Wang, Deren 10 Babuška, Ivo 10 Chien, Cheng-Sheng 10 Díez, Pedro 10 Kunkel, Peter 10 Liu, Jinn-Liang 10 März, Roswitha 10 Moret, Igor 10 Motsa, Sandile Sydney 10 Noor, Muhammad Aslam 10 Song, Yongzhong 10 Spiteri, Pierre 10 Szidarovszky, Ferenc P. 10 Szyld, Daniel B. 10 Zheng, Quan 9 Bi, Hai 9 Ma, Changfeng 9 Neta, Beny 9 Nguyen, Ngoc Cuong 9 Nochetto, Ricardo Horacio 9 Rabier, Patrick J. 9 Śmietański, Marek J. 9 Sun, Zhe 9 Tawhid, Mohamed Aly 9 Toint, Philippe L. 9 Zienkiewicz, Olgierd Cecil 8 Agarwal, Ravi P. 8 Bank, Randolph E. 8 Bi, Weihong 8 Chun, Changbum 8 Cvetković, Aleksandar S. 8 Dennis, John E. jun. 8 Eriksson, Anders B. 8 Ewing, Richard Edward 8 Fečkan, Michal 8 Grapsa, Theodoula N. 8 Hoppe, Ronald H. W. 8 Ishihara, Kazuo 8 Marek, Ivo 8 Martínez, Eulalia 8 Milaszewicz, Juan Pedro 8 Neumann, Michael 8 Noguera, Miquel ...and 5,077 more Authors
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#### Cited in 444 Serials

 317 Journal of Computational and Applied Mathematics 293 Applied Mathematics and Computation 254 Computer Methods in Applied Mechanics and Engineering 184 Numerische Mathematik 143 Journal of Optimization Theory and Applications 130 Computers & Mathematics with Applications 125 Linear Algebra and its Applications 121 Computing 111 Applied Numerical Mathematics 99 Numerical Algorithms 95 Mathematical Programming. Series A. Series B 92 International Journal of Computer Mathematics 88 Mathematics of Computation 87 Journal of Mathematical Analysis and Applications 83 Journal of Computational Physics 65 Numerical Functional Analysis and Optimization 60 Mathematical Programming 45 International Journal for Numerical Methods in Engineering 41 BIT 40 Optimization Methods & Software 37 Applied Mathematics Letters 37 Journal of Scientific Computing 35 Nonlinear Analysis. Theory, Methods & Applications 34 Computational Mechanics 32 European Journal of Operational Research 30 Journal of Complexity 29 Automatica 29 Calcolo 27 Journal of Global Optimization 25 SIAM Journal on Scientific Computing 21 Mathematical and Computer Modelling 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Optimization 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 Computational Optimization and Applications 19 Engineering Computations 19 Journal of Applied Mathematics and Computing 18 International Journal of Control 18 Mathematical Problems in Engineering 17 Computers and Fluids 16 Mathematics and Computers in Simulation 16 SIAM Journal on Numerical Analysis 16 Applications of Mathematics 15 Systems & Control Letters 15 RAIRO. Modélisation Mathématique et Analyse Numérique 15 Advances in Computational Mathematics 14 The Annals of Statistics 14 Numerical Methods for Partial Differential Equations 14 Optimization Letters 14 Algorithms 13 Mathematical Methods in the Applied Sciences 13 Applied Mathematical Modelling 13 Journal of Mathematical Sciences (New York) 13 International Journal of Computational Methods 12 Journal of the Franklin Institute 12 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 12 Journal of Differential Equations 12 Operations Research Letters 12 Physica D 12 Annals of Operations Research 12 Communications in Numerical Methods in Engineering 12 Abstract and Applied Analysis 12 Archives of Computational Methods in Engineering 11 Bulletin of the Australian Mathematical Society 11 Japan Journal of Industrial and Applied Mathematics 11 Numerical Linear Algebra with Applications 11 Computational and Applied Mathematics 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Mathematical Biosciences 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Communications in Statistics. Theory and Methods 10 BIT. Nordisk Tidskrift for Informationsbehandling 10 Science China. Mathematics 9 International Journal of Systems Science 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Journal of Approximation Theory 9 Computational Statistics and Data Analysis 9 Engineering Analysis with Boundary Elements 9 Journal of Inequalities and Applications 8 Aplikace Matematiky 8 Journal of Mathematical Economics 8 Journal of Soviet Mathematics 8 RAIRO. Analyse Numérique 8 Applied Mathematics and Mechanics. (English Edition) 8 Computational Mathematics and Mathematical Physics 8 SIAM Journal on Optimization 8 Applied Mathematics. Series B (English Edition) 8 Journal of Applied Mathematics 8 S$$\vec{\text{e}}$$MA Journal 7 Applicable Analysis 7 Computer Physics Communications 7 Journal of Multivariate Analysis 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 Nonlinear Analysis. Real World Applications 6 Physics Letters. A 6 Cybernetics ...and 344 more Serials
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#### Cited in 57 Fields

 3,006 Numerical analysis (65-XX) 795 Operations research, mathematical programming (90-XX) 535 Partial differential equations (35-XX) 404 Ordinary differential equations (34-XX) 397 Operator theory (47-XX) 361 Calculus of variations and optimal control; optimization (49-XX) 342 Mechanics of deformable solids (74-XX) 259 Fluid mechanics (76-XX) 165 Linear and multilinear algebra; matrix theory (15-XX) 159 Systems theory; control (93-XX) 137 Statistics (62-XX) 122 Computer science (68-XX) 90 Dynamical systems and ergodic theory (37-XX) 87 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 81 Real functions (26-XX) 66 Biology and other natural sciences (92-XX) 63 Approximations and expansions (41-XX) 62 Integral equations (45-XX) 62 Mechanics of particles and systems (70-XX) 60 Functions of a complex variable (30-XX) 57 Optics, electromagnetic theory (78-XX) 56 Information and communication theory, circuits (94-XX) 52 Classical thermodynamics, heat transfer (80-XX) 50 Probability theory and stochastic processes (60-XX) 37 Difference and functional equations (39-XX) 32 Global analysis, analysis on manifolds (58-XX) 28 Statistical mechanics, structure of matter (82-XX) 27 Field theory and polynomials (12-XX) 26 Functional analysis (46-XX) 24 General topology (54-XX) 24 Algebraic topology (55-XX) 19 Geophysics (86-XX) 16 Combinatorics (05-XX) 12 Differential geometry (53-XX) 10 Quantum theory (81-XX) 9 Convex and discrete geometry (52-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) 6 Geometry (51-XX) 6 Manifolds and cell complexes (57-XX) 6 Astronomy and astrophysics (85-XX) 5 General and overarching topics; collections (00-XX) 5 Number theory (11-XX) 5 Measure and integration (28-XX) 5 Special functions (33-XX) 5 Integral transforms, operational calculus (44-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Group theory and generalizations (20-XX) 3 Potential theory (31-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Sequences, series, summability (40-XX) 1 Associative rings and algebras (16-XX) 1 Relativity and gravitational theory (83-XX)