2026 Werner C. Rheinboldt: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	National Ranking	Publications	Citations
Mathematics	52	935	440	160	22733

Discipline name

D-Index

World Ranking

National Ranking

Publications

Citations

Mathematics

935

440

160

22733

Overview

Werner C. Rheinboldt was affiliated with the University of Pittsburgh in the United States during their academic career. The available data does not detail specific research papers, co-authors, publication venues, or book publications associated with this individual.

As such, information on the main fields and subfields of study, recent papers, frequent collaboration partners, and typical publication outlets is not documented in the accessible records.

There are no recorded awards or honors linked to Werner C. Rheinboldt in the provided data.

While detailed aspects of their research contributions remain unspecified, the affiliation with a major research university like the University of Pittsburgh indicates engagement in academic activities within their discipline.

Best Publications

Iterative solution of nonlinear equations in several variables

Unknown

8831
Citations
A‐posteriori error estimates for the finite element method

I. Babuška;W. C. Rheinboldt

2146
Citations
An adaptive continuation process for solving systems of nonlinear equations

Unknown

334
Citations
Numerical analysis of parametrized nonlinear equations

Werner C. Rheinboldt

324
Citations
A unified convergence theory for a class of iterative processes.

Werner C. Rheinboldt

248
Citations
A locally parameterized continuation process

Unknown

220
Citations
A mesh-independence principle for operator equations and their discretizations

F A Potra;W C Rheinboldt;K Böhmer;E L Allgower

217
Citations
Theoretical and numerical analysis of differential-algebraic equations

Patrick J. Rabier;Werner C. Rheinboldt

207
Citations
Adaptive approaches and reliability estimations in finite element analysis

Ivo M Babuska;W. C. Rheinboldt

201
Citations
Differential-algebraic systems as differential equations on manifolds

Unknown

199
Citations
On the Error Behavior of the Reduced Basis Technique for Nonlinear Finite Element Approximations

J. P. Fink;W. C. Rheinboldt

197
Citations
Reliable error estimation and mesh adaptation for the finite element method

Ivo Babuska;Werner C Rheinboldt

189
Citations
A Geometric Treatment of Implicit Differential-Algebraic Equations

Patrick J. Rabier;Werner C. Rheinboldt

187
Citations
Analysis of Optimal Finite Element Meshes in R1

I. Babuska;W. C. Rheinboldt

181
Citations
A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional Problems

Ivo Babuska;Werner C. Rheinboldt

173
Citations
On P- and S-functions and related classes of n-dimensional nonlinear mappings

Unknown

172
Citations
Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods

James M. Ortega;Werner C. Rheinboldt

169
Citations
On a Data Structure for Adaptive Finite Element Mesh Refinements

Werner C. Rheinboldt;Charles K. Mesztenyi

159
Citations
Solution Fields of Nonlinear Equations and Continuation Methods

Unknown

152
Citations
On the computation of multi-dimensional solution manifolds of parametrized equations

Werner C. Rheinboldt

150
Citations
Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint

Patrick J. Rabier;Werner C. Rheinboldt

143
Citations
Numerical Methods for a Class of Finite Dimensional Bifurcation Problems

Werner C. Rheinboldt

127
Citations
A General Existence and Uniqueness Theorem for Implicit Differential- Algebraic Equations

Patrick J. Rabier;Werner C. Rheinboldt

116
Citations
On Impasse Points of Quasilinear Differential Algebraic Equations

Patrick J. Rabier;Werner C. Rheinboldt

106
Citations
Analysis of optimal finite-element meshes in ¹

I. Babuška;W. C. Rheinboldt

51
Citations
Pathways to Solutions, Fixed Points, and Equilibria.

Werner C. Rheinboldt;C. B. Garcia;W. I. Zangwill

12
Citations

Frequent Co-Authors

Ivo Babuška The University of Texas at Austin

Victor R. Basili University of Maryland, College Park

Rami Melhem University of Pittsburgh

Florian A. Potra University of Maryland, Baltimore County

External Links

Personal website of Werner C. Rheinboldt

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