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Rheinboldt, Werner C.

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Author ID: rheinboldt.werner-c Recent zbMATH articles by "Rheinboldt, Werner C."
Published as: Rheinboldt, Werner C.; Rheinboldt, W. C.; Rheinboldt, Werner; Rheinboldt, W.; Rheinboldt
Documents Indexed: 115 Publications since 1955, including 8 Books
Reviewing Activity: 212 Reviews

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 5,153 times in 4,314 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.
429
1978
A-posteriori error estimates for the finite element method. Zbl 0396.65068
Babuška, Ivo; Rheinboldt, W. C.
358
1978
Iterative solution of nonlinear equations in several variables. Zbl 0949.65053
Ortega, J. M.; Rheinboldt, W. C.
210
2000
A unified convergence theory for a class of iterative processes. Zbl 0155.46701
Rheinboldt, W. C.
117
1968
On P- and S-functions and related classes of \(n\)-dimensional nonlinear mappings. Zbl 0247.65038
More, J.; Rheinboldt, W.
70
1973
Monotone iterations for nonlinear equations with application to Gauß- Seidel methods. Zbl 0161.35401
Ortega, J. M.; Rheinboldt, W. C.
58
1967
On the monotone convergence of Newton’s method. Zbl 0572.65034
Potra, F. A.; Rheinboldt, W. C.
57
1986
On the error behavior of the reduced basis technique for nonlinear finite element approximations. Zbl 0533.73071
Fink, J. P.; Rheinboldt, W. C.
55
1983
A geometric treatment of implicit differential-algebraic equations. Zbl 0804.34004
Rabier, Patrick J.; Rheinboldt, Werner C.
54
1994
Numerical analysis of parametrized nonlinear equations. Zbl 0582.65042
Rheinboldt, Werner C.
52
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.
51
1986
Differential-algebraic systems as differential equations on manifolds. Zbl 0581.65058
Rheinboldt, Werner C.
51
1984
Methods for solving systems of nonlinear equations. 2nd ed. Zbl 0906.65051
Rheinboldt, Werner C.
48
1998
On \(M\)-functions and their application to nonlinear Gauss-Seidel iterations and to network flows. Zbl 0206.46504
Rheinboldt, W. C.
45
1970
Solution fields of nonlinear equations and continuation methods. Zbl 0431.65035
Rheinboldt, Werner C.
44
1980
On a generalization of an inequality of L. V. Kantorovich. Zbl 0093.12405
Greub, Werner; Rheinboldt, Werner
43
1959
Analysis of optimal finite-element meshes in \(R^1\). Zbl 0431.65055
Babuška, Ivo; Rheinboldt, W. C.
41
1979
A posteriori error analysis of finite element solutions for one- dimensional problems. Zbl 0487.65060
Babuška, Ivo; Rheinboldt, Werner C.
39
1981
A locally parametrized continuation process. Zbl 0516.65029
Rheinboldt, Werner C.; Burkardt, John V.
39
1983
Theoretical and numerical analysis of differential-algebraic equations. Zbl 1007.65057
Rabier, Patrick J.; Rheinboldt, Werner C.
37
2002
On impasse points of quasilinear differential-algebraic equations. Zbl 0803.34004
Rabier, Patrick J.; Rheinboldt, Werner C.
36
1994
Adaptive approaches and reliability estimations in finite element analysis. Zbl 0396.73077
Babuška, Ivo; Rheinboldt, W. C.
36
1979
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.
36
1973
On the computation of multi-dimensional solution manifolds of parametrized equations. Zbl 0676.65047
Rheinboldt, Werner C.
35
1988
Methods for solving systems of nonlinear equations. Zbl 0325.65022
Rheinboldt, Werner C.
31
1974
On steplength algorithms for a class of continuation methods. Zbl 0472.65042
den Heijer, C.; Rheinboldt, W. C.
30
1981
Numerical methods for a class of finite dimensional bifurcation problems. Zbl 0389.65024
Rheinboldt, Werner C.
28
1978
On a data structure for adaptive finite element mesh refinements. Zbl 0437.65081
Rheinboldt, Werner C.; Mesztenyi, Charles K.
27
1980
Nonholonomic motion of rigid mechanical systems from a DAE viewpoint. Zbl 0942.70001
Rabier, Patrick J.; Rheinboldt, Werner C.
24
1999
Local mapping relations and global implicit function theorems. Zbl 0175.45201
Rheinboldt, W. C.
24
1969
Numerical analysis of continuation methods for nonlinear structural problems. Zbl 0465.65030
Rheinboldt, Werner C.
23
1981
A general existence and uniqueness theory for implicit differential- algebraic equations. Zbl 0722.34004
Rabier, Patrick J.; Rheinboldt, Werner C.
22
1991
An adaptive continuation process for solving systems of nonlinear equations. Zbl 0378.65029
Rheinboldt, Werner C.
21
1978
On the computation of impasse points of quasi-linear differential- algebraic equations. Zbl 0793.65050
Rabier, Patrick J.; Rheinboldt, Werner C.
20
1994
A comparison of methods for determining turning points of nonlinear equations. Zbl 0479.65032
Melhem, R. G.; Rheinboldt, W. C.
18
1982
Computational error estimates and adaptive processes for some nonlinear structural problems. Zbl 0528.65047
Babuška, Ivo; Rheinboldt, Werner C.
18
1982
Classical and generalized solutions of time-dependent linear differential-algebraic equations. Zbl 0857.34005
Rabier, Patrick J.; Rheinboldt, Werner C.
17
1996
On the theory and error estimation of the reduced basis method for multi- parameter problems. Zbl 0802.65068
Rheinboldt, Werner C.
16
1993
Computation of critical boundaries on equilibrium manifolds. Zbl 0489.65033
Rheinboldt, Werner C.
15
1982
Differential-geometric techniques for solving differential algebraic equations. Zbl 0763.65058
Potra, Florian A.; Rheinboldt, Werner C.
14
1991
On a theorem of S. Smale about Newton’s method for analytic mappings. Zbl 0631.65064
Rheinboldt, Werner C.
12
1988
On a theory of mesh-refinement processes. Zbl 0472.65009
Rheinboldt, Werner C.
12
1980
Adaptive mesh refinement processes for finite element solutions. Zbl 0485.65057
Rheinboldt, Werner C.
12
1981
On the discretization error of parametrized nonlinear equations. Zbl 0525.65041
Fink, James P.; Rheinboldt, Werner C.
12
1983
Finite difference methods for time dependent, linear differential algebraic equations. Zbl 0792.65048
Rabier, P. J.; Rheinboldt, W. C.
11
1994
On discretization and differentiation of operators with application to Newton’s method. Zbl 0143.17001
Ortega, J. M.; Rheinboldt, W. C.
11
1966
On the computation of manifolds of foldpoints for parameter-dependent problems. Zbl 0699.65038
Dai, Rui-Xiu; Rheinboldt, Werner C.
10
1990
On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations. Zbl 0722.34044
Rheinboldt, Werner C.
10
1991
On a class of approximate iterative processes. Zbl 0149.11002
Ortega, J. M.; Rheinboldt, W. C.
9
1967
A geometric framework for the numerical study of singular points. Zbl 0623.65065
Fink, James P.; Rheinboldt, Werner C.
9
1987
On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0699.65037
Rabier, Patrick J.; Rheinboldt, Werner C.
9
1990
Solution manifolds and submanifolds of parametrized equations and their discretization errors. Zbl 0555.65034
Fink, James P.; Rheinboldt, Werner C.
8
1984
A posteriori finite element error estimators for indefinite elliptic boundary value problems. Zbl 0799.65108
Liu, Jinn-Liang; Rheinboldt, Werner C.
7
1994
The computation of simplicial approximations of implicitly defined two- dimensional manifolds. Zbl 0815.65068
Brodzik, M. L.; Rheinboldt, W. C.
7
1994
A posteriori finite element error estimators for parametrized nonlinear boundary value problems. Zbl 0860.65104
Liu, Jinn-Liang; Rheinboldt, Werner C.
7
1996
Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms. Zbl 0871.65066
Rheinboldt, W. C.
7
1997
On the reliability and optimality of the finite element method. Zbl 0395.65058
Babuška, Ivo; Rheinboldt, W. C.
7
1979
On the numerical solution of the Euler-Lagrange equations. Zbl 0818.65064
Rabier, Patrick J.; Rheinboldt, Werner C.
7
1995
A mathematical model for the verification of systolic networks. Zbl 0546.94031
Melhem, Rami G.; Rheinboldt, Werner C.
7
1984
Numerical continuation methods: a perspective. Zbl 0966.65049
Rheinboldt, Werner C.
7
2000
Computational methods for determining lower bounds for eigenvalues of operators in Hilbert spaces. Zbl 0161.35504
Fox, D. W.; Rheinboldt, W. C.
7
1966
Design of an adaptive, parallel finite-element system. Zbl 0401.65066
Zave, Pamela; Rheinboldt, Werner C.
6
1979
On M-functions and their application to non-linear Gauss-Seidel iterations and to network flows. Zbl 0183.44901
Rheinboldt, W. C.
6
1969
Local and global convergence of generalized linear iterations. Zbl 0224.65017
Ortega, James M.; Rheinboldt, Werner C.
6
1970
Error estimates for nonlinear finite element computations. Zbl 0581.73086
Rheinboldt, Werner C.
6
1985
MANPAK: A set of algorithms for computations on implicitly defined manifolds. Zbl 0883.65044
Rheinboldt, W. C.
5
1996
Aspects of continuation software. Zbl 0711.65037
Rheinboldt, W. C.; Roose, D.; Seydel, R.
5
1990
On piecewise affine mappings in \(R^n\). Zbl 0322.65028
Rheinboldt, Werner C.; Vandergraft, James S.
5
1975
Time-dependent linear DAEs with discontinuous inputs. Zbl 0864.65044
Rabier, Patrick J.; Rheinboldt, Werner C.
5
1996
Solution techniques for nonlinear finite element equations. Zbl 0542.73099
Rheinboldt, W. C.; Riks, E.
5
1983
Reliable error estimation and mesh adaptation for the finite element method. Zbl 0451.65078
Babuška, Ivo; Rheinboldt, Werner C.
5
1980
Computing smooth solutions of DAEs for elastic multibody systems. Zbl 0954.74027
Rheinboldt, W. C.; Simeon, B.
4
1999
Discontinuous solutions of semilinear differential-algebraic equations. I: Distribution solutions. Zbl 0865.34003
Rabier, Patrick J.; Rheinboldt, Werner C.
4
1996
Mathematical problems of computational decisions in the finite element method. Zbl 0361.65096
Babuška, Ivo; Rheinboldt, W. C.
4
1977
On classes of \(n\)-dimensional nonlinear mappings generalizing several types of matrices. Zbl 0253.65031
Rheinboldt, Werner C.
4
1971
On the local convergence of update methods. Zbl 0288.65029
Rheinboldt, Werner C.; Vandergraft, James S.
4
1974
Local error estimates for parametrized nonlinear equations. Zbl 0583.65038
Fink, James P.; Rheinboldt, Werner C.
4
1985
Computational aspects of the finite element method. Zbl 0407.68035
Babuška, Ivo; Rheinboldt, W.
3
1977
Performance analysis of some methods for solving Euler-Lagrange equations. Zbl 0813.65093
Rheinboldt, W. C.; Simeon, B.
3
1995
On a characterization of tridiagonal matrices by M. Fiedler. Zbl 0273.15021
Rheinboldt, Werner C.; Shepherd, Roger A.
3
1974
On the sensitivity of solutions of parametrized equations. Zbl 0776.65038
Rheinboldt, Werner C.
2
1993
Geometric notes on optimization with equality constraints. Zbl 0852.90119
Rheinboldt, W. C.
2
1996
Discontinuous solutions of semilinear differential-algebraic equations. II: \({\mathcal P}\)-consistency. Zbl 0863.34001
Rabier, Patrick J.; Rheinboldt, Werner C.
2
1996
On the evaluation of multivariate polynomials and their derivatives. Zbl 0387.65014
Rheinboldt, W. C.; Mesztenyi, C. K.; Fitzgerald, J. M.
2
1977
On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0679.65034
Rabier, Patrick J.; Rheinboldt, Werner C.
2
1990
The role of the tangent mapping in analyzing bifurcation behaviour. Zbl 0588.65041
Fink, J. P.; Rheinboldt, W. C.
2
1984
On a general estimation principle and a theory of comparison factors. Zbl 0194.09102
Rheinboldt, W. C.
2
1966
A general convergence result for unconstrained minimization methods. Zbl 0245.65030
Ortega, James M.; Rheinboldt, Werner C.
2
1972
On a programming language for graph algorithms. Zbl 0247.68026
Rheinboldt, Werner C.; Basili, Victor R.; Mesztenyi, Charles K.
2
1972
On measures of ill-conditioning for nonlinear equations. Zbl 0328.65032
Rheinboldt, Werner C.
2
1976
Differential-geometric computational methods for nonlinear problems. Zbl 0843.65040
Rheinboldt, Werner C.
1
1996
Zur Berechnung stationärer Grenzschichten bei kontinuierlicher Absaugung mit unstetig veränderlicher Absaugegeschwindigkeit. Zbl 0070.20108
Rheinboldt, Werner
1
1956
Zur äußeren Randbedingung bei den Grenzschichtgleichungen. Zbl 0073.20704
Rheinboldt, W.
1
1956
Non-self-adjoint boundary value problems in ordinary differential equations. Zbl 0094.28502
Greub, Werner; Rheinboldt, Werner C.
1
1960
A survey of a posteriori error estimators and adaptive approaches in the finite element method. Zbl 0612.73071
Babuška, Ivo; Rheinboldt, Werner C.
1
1983
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.
1
1988
On a moving-frame algorithm and the triangulation of equilibrium manifolds. Zbl 0652.65039
Rheinboldt, Werner C.
1
1987
Adaptive finite element processes in structural mechanics. Zbl 0569.65078
Babuška, Ivo; Rheinboldt, Werner C.
1
1984
Theoretical and numerical analysis of differential-algebraic equations. Zbl 1007.65057
Rabier, Patrick J.; Rheinboldt, Werner C.
37
2002
Iterative solution of nonlinear equations in several variables. Zbl 0949.65053
Ortega, J. M.; Rheinboldt, W. C.
210
2000
Numerical continuation methods: a perspective. Zbl 0966.65049
Rheinboldt, Werner C.
7
2000
Nonholonomic motion of rigid mechanical systems from a DAE viewpoint. Zbl 0942.70001
Rabier, Patrick J.; Rheinboldt, Werner C.
24
1999
Computing smooth solutions of DAEs for elastic multibody systems. Zbl 0954.74027
Rheinboldt, W. C.; Simeon, B.
4
1999
Methods for solving systems of nonlinear equations. 2nd ed. Zbl 0906.65051
Rheinboldt, Werner C.
48
1998
Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms. Zbl 0871.65066
Rheinboldt, W. C.
7
1997
Classical and generalized solutions of time-dependent linear differential-algebraic equations. Zbl 0857.34005
Rabier, Patrick J.; Rheinboldt, Werner C.
17
1996
A posteriori finite element error estimators for parametrized nonlinear boundary value problems. Zbl 0860.65104
Liu, Jinn-Liang; Rheinboldt, Werner C.
7
1996
MANPAK: A set of algorithms for computations on implicitly defined manifolds. Zbl 0883.65044
Rheinboldt, W. C.
5
1996
Time-dependent linear DAEs with discontinuous inputs. Zbl 0864.65044
Rabier, Patrick J.; Rheinboldt, Werner C.
5
1996
Discontinuous solutions of semilinear differential-algebraic equations. I: Distribution solutions. Zbl 0865.34003
Rabier, Patrick J.; Rheinboldt, Werner C.
4
1996
Geometric notes on optimization with equality constraints. Zbl 0852.90119
Rheinboldt, W. C.
2
1996
Discontinuous solutions of semilinear differential-algebraic equations. II: \({\mathcal P}\)-consistency. Zbl 0863.34001
Rabier, Patrick J.; Rheinboldt, Werner C.
2
1996
Differential-geometric computational methods for nonlinear problems. Zbl 0843.65040
Rheinboldt, Werner C.
1
1996
On the numerical solution of the Euler-Lagrange equations. Zbl 0818.65064
Rabier, Patrick J.; Rheinboldt, Werner C.
7
1995
Performance analysis of some methods for solving Euler-Lagrange equations. Zbl 0813.65093
Rheinboldt, W. C.; Simeon, B.
3
1995
A geometric treatment of implicit differential-algebraic equations. Zbl 0804.34004
Rabier, Patrick J.; Rheinboldt, Werner C.
54
1994
On impasse points of quasilinear differential-algebraic equations. Zbl 0803.34004
Rabier, Patrick J.; Rheinboldt, Werner C.
36
1994
On the computation of impasse points of quasi-linear differential- algebraic equations. Zbl 0793.65050
Rabier, Patrick J.; Rheinboldt, Werner C.
20
1994
Finite difference methods for time dependent, linear differential algebraic equations. Zbl 0792.65048
Rabier, P. J.; Rheinboldt, W. C.
11
1994
A posteriori finite element error estimators for indefinite elliptic boundary value problems. Zbl 0799.65108
Liu, Jinn-Liang; Rheinboldt, Werner C.
7
1994
The computation of simplicial approximations of implicitly defined two- dimensional manifolds. Zbl 0815.65068
Brodzik, M. L.; Rheinboldt, W. C.
7
1994
On the theory and error estimation of the reduced basis method for multi- parameter problems. Zbl 0802.65068
Rheinboldt, Werner C.
16
1993
On the sensitivity of solutions of parametrized equations. Zbl 0776.65038
Rheinboldt, Werner C.
2
1993
A general existence and uniqueness theory for implicit differential- algebraic equations. Zbl 0722.34004
Rabier, Patrick J.; Rheinboldt, Werner C.
22
1991
Differential-geometric techniques for solving differential algebraic equations. Zbl 0763.65058
Potra, Florian A.; Rheinboldt, Werner C.
14
1991
On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations. Zbl 0722.34044
Rheinboldt, Werner C.
10
1991
On the computation of manifolds of foldpoints for parameter-dependent problems. Zbl 0699.65038
Dai, Rui-Xiu; Rheinboldt, Werner C.
10
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.
9
1990
Aspects of continuation software. Zbl 0711.65037
Rheinboldt, W. C.; Roose, D.; Seydel, R.
5
1990
On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0679.65034
Rabier, Patrick J.; Rheinboldt, Werner C.
2
1990
On the computation of multi-dimensional solution manifolds of parametrized equations. Zbl 0676.65047
Rheinboldt, Werner C.
35
1988
On a theorem of S. Smale about Newton’s method for analytic mappings. Zbl 0631.65064
Rheinboldt, Werner C.
12
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.
1
1988
A geometric framework for the numerical study of singular points. Zbl 0623.65065
Fink, James P.; Rheinboldt, Werner C.
9
1987
On a moving-frame algorithm and the triangulation of equilibrium manifolds. Zbl 0652.65039
Rheinboldt, Werner C.
1
1987
On the monotone convergence of Newton’s method. Zbl 0572.65034
Potra, F. A.; Rheinboldt, W. C.
57
1986
Numerical analysis of parametrized nonlinear equations. Zbl 0582.65042
Rheinboldt, Werner C.
52
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.
51
1986
Error estimates for nonlinear finite element computations. Zbl 0581.73086
Rheinboldt, Werner C.
6
1985
Local error estimates for parametrized nonlinear equations. Zbl 0583.65038
Fink, James P.; Rheinboldt, Werner C.
4
1985
Differential-algebraic systems as differential equations on manifolds. Zbl 0581.65058
Rheinboldt, Werner C.
51
1984
Solution manifolds and submanifolds of parametrized equations and their discretization errors. Zbl 0555.65034
Fink, James P.; Rheinboldt, Werner C.
8
1984
A mathematical model for the verification of systolic networks. Zbl 0546.94031
Melhem, Rami G.; Rheinboldt, Werner C.
7
1984
The role of the tangent mapping in analyzing bifurcation behaviour. Zbl 0588.65041
Fink, J. P.; Rheinboldt, W. C.
2
1984
Adaptive finite element processes in structural mechanics. Zbl 0569.65078
Babuška, Ivo; Rheinboldt, Werner C.
1
1984
On the error behavior of the reduced basis technique for nonlinear finite element approximations. Zbl 0533.73071
Fink, J. P.; Rheinboldt, W. C.
55
1983
A locally parametrized continuation process. Zbl 0516.65029
Rheinboldt, Werner C.; Burkardt, John V.
39
1983
On the discretization error of parametrized nonlinear equations. Zbl 0525.65041
Fink, James P.; Rheinboldt, Werner C.
12
1983
Solution techniques for nonlinear finite element equations. Zbl 0542.73099
Rheinboldt, W. C.; Riks, E.
5
1983
A survey of a posteriori error estimators and adaptive approaches in the finite element method. Zbl 0612.73071
Babuška, Ivo; Rheinboldt, Werner C.
1
1983
A comparison of methods for determining turning points of nonlinear equations. Zbl 0479.65032
Melhem, R. G.; Rheinboldt, W. C.
18
1982
Computational error estimates and adaptive processes for some nonlinear structural problems. Zbl 0528.65047
Babuška, Ivo; Rheinboldt, Werner C.
18
1982
Computation of critical boundaries on equilibrium manifolds. Zbl 0489.65033
Rheinboldt, Werner C.
15
1982
A posteriori error analysis of finite element solutions for one- dimensional problems. Zbl 0487.65060
Babuška, Ivo; Rheinboldt, Werner C.
39
1981
On steplength algorithms for a class of continuation methods. Zbl 0472.65042
den Heijer, C.; Rheinboldt, W. C.
30
1981
Numerical analysis of continuation methods for nonlinear structural problems. Zbl 0465.65030
Rheinboldt, Werner C.
23
1981
Adaptive mesh refinement processes for finite element solutions. Zbl 0485.65057
Rheinboldt, Werner C.
12
1981
Solution fields of nonlinear equations and continuation methods. Zbl 0431.65035
Rheinboldt, Werner C.
44
1980
On a data structure for adaptive finite element mesh refinements. Zbl 0437.65081
Rheinboldt, Werner C.; Mesztenyi, Charles K.
27
1980
On a theory of mesh-refinement processes. Zbl 0472.65009
Rheinboldt, Werner C.
12
1980
Reliable error estimation and mesh adaptation for the finite element method. Zbl 0451.65078
Babuška, Ivo; Rheinboldt, Werner C.
5
1980
Analysis of optimal finite-element meshes in \(R^1\). Zbl 0431.65055
Babuška, Ivo; Rheinboldt, W. C.
41
1979
Adaptive approaches and reliability estimations in finite element analysis. Zbl 0396.73077
Babuška, Ivo; Rheinboldt, W. C.
36
1979
On the reliability and optimality of the finite element method. Zbl 0395.65058
Babuška, Ivo; Rheinboldt, W. C.
7
1979
Design of an adaptive, parallel finite-element system. Zbl 0401.65066
Zave, Pamela; Rheinboldt, Werner C.
6
1979
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
429
1978
A-posteriori error estimates for the finite element method. Zbl 0396.65068
Babuška, Ivo; Rheinboldt, W. C.
358
1978
Numerical methods for a class of finite dimensional bifurcation problems. Zbl 0389.65024
Rheinboldt, Werner C.
28
1978
An adaptive continuation process for solving systems of nonlinear equations. Zbl 0378.65029
Rheinboldt, Werner C.
21
1978
Mathematical problems of computational decisions in the finite element method. Zbl 0361.65096
Babuška, Ivo; Rheinboldt, W. C.
4
1977
Computational aspects of the finite element method. Zbl 0407.68035
Babuška, Ivo; Rheinboldt, W.
3
1977
On the evaluation of multivariate polynomials and their derivatives. Zbl 0387.65014
Rheinboldt, W. C.; Mesztenyi, C. K.; Fitzgerald, J. M.
2
1977
On measures of ill-conditioning for nonlinear equations. Zbl 0328.65032
Rheinboldt, Werner C.
2
1976
On piecewise affine mappings in \(R^n\). Zbl 0322.65028
Rheinboldt, Werner C.; Vandergraft, James S.
5
1975
Methods for solving systems of nonlinear equations. Zbl 0325.65022
Rheinboldt, Werner C.
31
1974
On the local convergence of update methods. Zbl 0288.65029
Rheinboldt, Werner C.; Vandergraft, James S.
4
1974
On a characterization of tridiagonal matrices by M. Fiedler. Zbl 0273.15021
Rheinboldt, Werner C.; Shepherd, Roger A.
3
1974
On P- and S-functions and related classes of \(n\)-dimensional nonlinear mappings. Zbl 0247.65038
More, J.; Rheinboldt, W.
70
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.
36
1973
A general convergence result for unconstrained minimization methods. Zbl 0245.65030
Ortega, James M.; Rheinboldt, Werner C.
2
1972
On a programming language for graph algorithms. Zbl 0247.68026
Rheinboldt, Werner C.; Basili, Victor R.; Mesztenyi, Charles K.
2
1972
On classes of \(n\)-dimensional nonlinear mappings generalizing several types of matrices. Zbl 0253.65031
Rheinboldt, Werner C.
4
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.
45
1970
Local and global convergence of generalized linear iterations. Zbl 0224.65017
Ortega, James M.; Rheinboldt, Werner C.
6
1970
Local mapping relations and global implicit function theorems. Zbl 0175.45201
Rheinboldt, W. C.
24
1969
On M-functions and their application to non-linear Gauss-Seidel iterations and to network flows. Zbl 0183.44901
Rheinboldt, W. C.
6
1969
A unified convergence theory for a class of iterative processes. Zbl 0155.46701
Rheinboldt, W. C.
117
1968
Monotone iterations for nonlinear equations with application to Gauß- Seidel methods. Zbl 0161.35401
Ortega, J. M.; Rheinboldt, W. C.
58
1967
On a class of approximate iterative processes. Zbl 0149.11002
Ortega, J. M.; Rheinboldt, W. C.
9
1967
On discretization and differentiation of operators with application to Newton’s method. Zbl 0143.17001
Ortega, J. M.; Rheinboldt, W. C.
11
1966
Computational methods for determining lower bounds for eigenvalues of operators in Hilbert spaces. Zbl 0161.35504
Fox, D. W.; Rheinboldt, W. C.
7
1966
On a general estimation principle and a theory of comparison factors. Zbl 0194.09102
Rheinboldt, W. C.
2
1966
Non-self-adjoint boundary value problems in ordinary differential equations. Zbl 0094.28502
Greub, Werner; Rheinboldt, Werner C.
1
1960
On a generalization of an inequality of L. V. Kantorovich. Zbl 0093.12405
Greub, Werner; Rheinboldt, Werner
43
1959
Zur Berechnung stationärer Grenzschichten bei kontinuierlicher Absaugung mit unstetig veränderlicher Absaugegeschwindigkeit. Zbl 0070.20108
Rheinboldt, Werner
1
1956
Zur äußeren Randbedingung bei den Grenzschichtgleichungen. Zbl 0073.20704
Rheinboldt, W.
1
1956
all top 5

Cited by 4,776 Authors

132 Argyros, Ioannis Konstantinos
38 Bai, Zhongzhi
34 Torregrosa Sanchez, Juan Ramón
33 Cordero, Alicia
33 Petković, Miodrag S.
31 Rheinboldt, Werner C.
30 Hilout, Saïd
28 Sharma, Janak Raj
28 Wu, Qingbiao
26 Martínez, José Mario
24 Hernández, Miguel Ángel
23 Chen, Jinhai
23 Ren, Hongmin
22 George, Santhosh
22 Riaza, Ricardo
21 Fukushima, Masao
21 Patera, Anthony T.
20 Frommer, Andreas
20 Yamamoto, Tetsuro
19 Amat, Sergio P.
19 Qi, Liqun
18 Busquier, Sonia
18 Magreñán, Ángel Alberto
18 Pang, Jong-Shi
18 Zeng, Jinping
17 Behl, Ramandeep
17 Oden, John Tinsley
16 Carstensen, Carsten
16 Chen, Xiaojun
16 Potra, Florian-Alexandru
15 Repin, Sergeĭ Igorevich
15 Vrahatis, Michael N.
14 Campbell, Stephen LaVern
14 Gupta, Dharmendra Kumar
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 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 Mehrmann, Volker
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 Díez, Pedro
10 Kunkel, Peter
10 Liu, Jinn-Liang
10 März, Roswitha
10 Moret, Igor
10 Noor, Muhammad Aslam
10 Spiteri, Pierre
10 Szyld, Daniel B.
10 Zheng, Quan
9 Bi, Hai
9 Chien, Cheng-Sheng
9 Ma, Changfeng
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 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 Huang, Qiumei
8 Ishihara, Kazuo
8 Konnov, Igor V.
8 Marek, Ivo
8 Martínez, Eulalia
8 Milaszewicz, Juan Pedro
8 Neumann, Michael
8 Noguera, Miquel
8 Parhi, Sanjaya Kumar
...and 4,676 more Authors
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Cited in 452 Serials

304 Journal of Computational and Applied Mathematics
285 Applied Mathematics and Computation
251 Computer Methods in Applied Mechanics and Engineering
186 Numerische Mathematik
144 Journal of Optimization Theory and Applications
129 Computers & Mathematics with Applications
123 Linear Algebra and its Applications
121 Computing
109 Applied Numerical Mathematics
102 Numerical Algorithms
95 Mathematical Programming. Series A. Series B
92 International Journal of Computer Mathematics
88 Mathematics of Computation
86 Journal of Mathematical Analysis and Applications
79 Journal of Computational Physics
65 Numerical Functional Analysis and Optimization
60 Mathematical Programming
45 International Journal for Numerical Methods in Engineering
41 BIT
41 Journal of Scientific Computing
41 Optimization Methods & Software
36 Applied Mathematics Letters
34 Computational Mechanics
31 European Journal of Operational Research
30 Nonlinear Analysis. Theory, Methods & Applications
29 Calcolo
29 SIAM Journal on Scientific Computing
28 Journal of Global Optimization
25 Journal of Complexity
21 Automatica
21 Mathematical and Computer Modelling
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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Mathematical Problems in Engineering
16 SIAM Journal on Numerical Analysis
16 Applications of Mathematics
16 Optimization Letters
15 Computers and Fluids
15 Mathematics and Computers in Simulation
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 Algorithms
13 Mathematical Methods in the Applied Sciences
13 Applied Mathematical Modelling
13 Journal of Mathematical Sciences (New York)
12 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
12 Journal of Differential Equations
12 Physica D
12 Annals of Operations Research
12 Communications in Numerical Methods in Engineering
12 Archives of Computational Methods in Engineering
12 International Journal of Computational Methods
11 Bulletin of the Australian Mathematical Society
11 Journal of the Franklin Institute
11 Operations Research Letters
11 Japan Journal of Industrial and Applied Mathematics
11 Numerical Linear Algebra with Applications
11 Computational and Applied Mathematics
11 Engineering Analysis with Boundary Elements
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 Abstract and Applied Analysis
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 Computational Statistics and Data Analysis
9 Journal of Inequalities and Applications
8 Aplikace Matematiky
8 Journal of Approximation Theory
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 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
6 Physics Letters. A
6 Cybernetics
6 Circuits, Systems, and Signal Processing
6 Acta Mathematicae Applicatae Sinica. English Series
...and 352 more Serials
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Cited in 58 Fields

2,985 Numerical analysis (65-XX)
796 Operations research, mathematical programming (90-XX)
539 Partial differential equations (35-XX)
400 Ordinary differential equations (34-XX)
390 Operator theory (47-XX)
357 Calculus of variations and optimal control; optimization (49-XX)
340 Mechanics of deformable solids (74-XX)
258 Fluid mechanics (76-XX)
162 Linear and multilinear algebra; matrix theory (15-XX)
148 Systems theory; control (93-XX)
136 Statistics (62-XX)
120 Computer science (68-XX)
86 Dynamical systems and ergodic theory (37-XX)
85 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)
63 Integral equations (45-XX)
60 Mechanics of particles and systems (70-XX)
59 Functions of a complex variable (30-XX)
57 Optics, electromagnetic theory (78-XX)
53 Classical thermodynamics, heat transfer (80-XX)
51 Information and communication theory, circuits (94-XX)
49 Probability theory and stochastic processes (60-XX)
37 Difference and functional equations (39-XX)
32 Global analysis, analysis on manifolds (58-XX)
28 Field theory and polynomials (12-XX)
27 Functional analysis (46-XX)
27 Statistical mechanics, structure of matter (82-XX)
24 General topology (54-XX)
24 Algebraic topology (55-XX)
19 Geophysics (86-XX)
16 Combinatorics (05-XX)
12 Differential geometry (53-XX)
9 Convex and discrete geometry (52-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Quantum theory (81-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 Manifolds and cell complexes (57-XX)
6 Integral transforms, operational calculus (44-XX)
6 Geometry (51-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)
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)
1 Mathematics education (97-XX)

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