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Werner C. Rheinboldt

Active 1957–2010

61
Papers
22,800
Citations
43
h-index
59
i10-index

Citations

Citations per year for Werner C. Rheinboldt1967: 6 citations1968: 15 citations1969: 12 citations1970: 12 citations1971: 18 citations1972: 39 citations1973: 38 citations1974: 57 citations1975: 54 citations1976: 65 citations1977: 58 citations1978: 87 citations1979: 81 citations1980: 79 citations1981: 94 citations1982: 113 citations1983: 102 citations1984: 137 citations1985: 129 citations1986: 103 citations1987: 131 citations1988: 89 citations1989: 143 citations1990: 198 citations1991: 147 citations1992: 173 citations1993: 166 citations1994: 162 citations1995: 171 citations1996: 204 citations1997: 179 citations1998: 167 citations1999: 178 citations2000: 200 citations2001: 160 citations2002: 209 citations2003: 213 citations2004: 213 citations2005: 215 citations2006: 230 citations2007: 209 citations2008: 244 citations2009: 210 citations2010: 259 citations2011: 248 citations2012: 229 citations2013: 228 citations2014: 243 citations2015: 246 citations2016: 224 citations2017: 159 citations2018: 179 citations2019: 180 citations2020: 234 citations2021: 252 citations2022: 178 citations2023: 145 citations2024: 143 citations2025: 127 citations2026: 14 citations

Citation sources

Countries

World map of the countries and regions citing this authorUnited States: 2,310 citing papers, 29.3% of this breakdownChina: 898 citing papers, 11.4% of this breakdownGermany: 603 citing papers, 7.6% of this breakdownFrance: 351 citing papers, 4.5% of this breakdownUnited Kingdom: 293 citing papers, 3.7% of this breakdownSpain: 279 citing papers, 3.5% of this breakdownCanada: 278 citing papers, 3.5% of this breakdownItaly: 216 citing papers, 2.7% of this breakdownJapan: 178 citing papers, 2.3% of this breakdownAustralia: 164 citing papers, 2.1% of this breakdownIndia: 160 citing papers, 2% of this breakdownHong Kong: 128 citing papers, 1.6% of this breakdown
0%29.3%Other 25.8%

Institutions

Fields

  • Computer Science32.1%
  • Mathematics31.4%
  • Engineering22.5%
  • Medicine5.3%
  • Physics and Astronomy2.5%
  • Decision Sciences1.4%
  • Other4.8%

Topics

  • Advanced Optimization Algorithms Research9.1%
  • Matrix Theory and Algorithms7.5%
  • Iterative Methods for Nonlinear Equations6.7%
  • Advanced Numerical Methods in Computational Mathematics4.4%
  • Numerical methods for differential equations2.7%
  • Optimization and Variational Analysis2.6%
  • Other67%

Coauthors

All papers

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  1. Iterative solution of nonlinear equations in several variables

    Authors: James M. Ortega, Werner C. Rheinboldt - Society for Industrial and Applied Mathematics eBooks 1970 cited by 6,910

  2. Iterative Solution of Nonlinear Equations in Several Variables

    Authors: E. I., J. M. Ortega, Werner C. Rheinboldt - Mathematics of Computation 1971 cited by 4,456

  3. Error Estimates for Adaptive Finite Element Computations

    Authors: I. Babuvška, Werner C. Rheinboldt - SIAM Journal on Numerical Analysis 1978 cited by 1,453

  4. A‐posteriori error estimates for the finite element method

    Authors: Ivo Babuška, Werner C. Rheinboldt - International Journal for Numerical Methods in Engineering 1978 cited by 1,178

  5. Curriculum 68: Recommendations for academic programs in computer science: a report of the ACM curriculum committee on computer science

    Authors: William F. Atchison, Samuel D. Conte, John W. Hamblen, Thomas E. Hull, Thomas A. Keenan, William B. Kehl, E.J. McCluskey, Silvio O. Navarro, Werner C. Rheinboldt, Earl J. Schweppe, William Viavant, David M. Young - Communications of the ACM, Commun. ACM 1968 cited by 468

  6. A computer model of atrial fibrillation

    Authors: Gordon K. Moe, Werner C. Rheinboldt, J.A. Abildskov - American Heart Journal 1964 cited by 1,345

  7. A Unified Convergence Theory for a Class of Iterative Processes

    Authors: Werner C. Rheinboldt - SIAM Journal on Numerical Analysis 1968 cited by 195

  8. Computer Science and Scientific Computing

    Authors: Werner C. Rheinboldt, Daniel P. Siewiorek - Elsevier eBooks 1989 cited by 262

  9. CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS

    Authors: Garrett Birkhoff, D. V. Lindley, R. S. Varga, Patrick Billingsley, J. L. Lions, Roger Penrose, J. Durbin, Sol I. Rubinow, P. D. Lax, Ivan Singer, Werner C. Rheinboldt, Hans F. Weinberger, R. T. Rockafellar, Cathleen S. Morawetz, Frank C. Hoppensteadt - 2010 cited by 251

  10. Theoretical and numerical analysis of differential-algebraic equations

    Authors: Patrick J. Rabier, Werner C. Rheinboldt - Handbook of numerical analysis 2002 cited by 156

  11. Numerical continuation methods: a perspective

    Authors: Werner C. Rheinboldt - Journal of Computational and Applied Mathematics 2000 cited by 40

  12. Pathways to Solutions, Fixed Points, and Equilibria.

    Authors: Werner C. Rheinboldt, C. B. Garcia, Willard I. Zangwill - American Mathematical Monthly 1983 cited by 295

  13. On P- and S-functions and related classes of n-dimensional nonlinear mappings

    Authors: Jorge J. Morè, Werner C. Rheinboldt - Linear Algebra and its Applications 1973 cited by 165

  14. Local mapping relations and global implicit function theorems

    Authors: Werner C. Rheinboldt - Transactions of the American Mathematical Society 1969 cited by 72

  15. The Hypercircle in Mathematical Physics

    Authors: J. L. Synge, Werner C. Rheinboldt - Physics Today 1957 cited by 328

  16. Methods for Solving Systems of Nonlinear Equations

    Authors: Werner C. Rheinboldt - Society for Industrial and Applied Mathematics eBooks 1998 cited by 241

  17. Differential-Algebraic Systems as Differential Equations on Manifolds

    Authors: Werner C. Rheinboldt - Mathematics of Computation 1984 cited by 168

  18. Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods

    Authors: James M. Ortega, Werner C. Rheinboldt - SIAM Journal on Numerical Analysis 1967 cited by 133

  19. Nonholonomic motion of rigid mechanical systems from a DAE viewpoint

    Authors: Patrick J. Rabier, Werner C. Rheinboldt - Society for Industrial and Applied Mathematics eBooks 2000 cited by 126

  20. On a Data Structure for Adaptive Finite Element Mesh Refinements

    Authors: Werner C. Rheinboldt, Charles K. Mesztenyi - ACM Transactions on Mathematical Software, ACM Trans. Math. Softw. 1980 cited by 124

  21. On Impasse Points of Quasilinear Differential-Algebraic Equations

    Authors: Patrick J. Rabier, Werner C. Rheinboldt - Journal of Mathematical Analysis and Applications 1994 cited by 78

  22. On Discretization and Differentiation of Operators with Application to Newton’s Method

    Authors: James M. Ortega, Werner C. Rheinboldt - SIAM Journal on Numerical Analysis 1966 cited by 39

  23. An adaptive continuation process for solving systems of nonlinear equations

    Authors: Werner C. Rheinboldt - Banach Center Publications 1978 cited by 280

  24. Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems.

    Authors: Werner C. Rheinboldt, Alexander B. Morgan - Mathematics of Computation 1988 cited by 242