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Subfield · Numerical Analysis

Top Numerical Analysis Researchers

Chi‐Wang Shu ranks first, followed by Mehdi Dehghan and Dumitru Bǎleanu, out of 168,003 ranked researchers.

Field rank: how many more of the researcher's articles, reviews and conference papers in this field reached the world top 10% for their subfield and year than the 10% expected of anyone's. A paper in the top 10% adds 0.9 and any other takes 0.1 away, however highly cited, so many strong papers in the field outrank one famous paper, a long record of ordinary papers does not climb, and work in other fields does not count. A paper in two subfields counts half in each. A researcher with fewer papers in the Nature Index's selective journals than expected has the count lowered by the square root of that journal factor. Floor: 15 works, an institution the snapshot can resolve, and an article, review or conference paper in this field.

Numerical Analysis
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The ranking

  1. 1 Chi‐Wang Shu United States · #63,185 worldwide overall 43.8 of 87 papers here in the top 10%
  2. 2 Mehdi Dehghan Iran · #1,004,501 worldwide overall 79.4 of 161 papers here in the top 10%
  3. 3 Dumitru Bǎleanu Türkiye · #1,922,304 worldwide overall 109.2 of 242 papers here in the top 10%
  4. 4 Ian Turner Australia · #183,959 worldwide overall 24.9 of 56 papers here in the top 10%
  5. 5 Christodoulos A. Floudas United States · #11,996 worldwide overall 20.8 of 32 papers here in the top 10%
  6. 6 Christian Kanzow Germany · #27,094 worldwide overall 22.1 of 48 papers here in the top 10%
  7. 7 Zhi‐zhong Sun China · #69,017 worldwide overall 21.6 of 44 papers here in the top 10%
  8. 8 T. E. Simos Greece · #441,958 worldwide overall 39.0 of 137 papers here in the top 10%
  9. 9 Jorge Nocedal United States · #39,819 worldwide overall 20.2 of 35 papers here in the top 10%
  10. 10 Ignacio E. Grossmann United States · #1,649 worldwide overall 20.6 of 40 papers here in the top 10%
  11. 11 Defeng Sun Singapore · #37,858 worldwide overall 20.8 of 43 papers here in the top 10%
  12. 12 Nicholas John Higham United Kingdom · #23,756 worldwide overall 20.8 of 42 papers here in the top 10%
  13. 13 Changpin Li China · #54,616 worldwide overall 21.1 of 46 papers here in the top 10%
  14. 14 Olvi L. Mangasarian United States · #10,504 worldwide overall 19.8 of 44 papers here in the top 10%
  15. 15 Fawang Liu Australia · #357,947 worldwide overall 27.5 of 84 papers here in the top 10%
  16. 16 Martin Stynes China · #249,662 worldwide overall 21.6 of 71 papers here in the top 10%
  17. 17 Vo Anh Australia · #569,439 worldwide overall 18.2 of 37 papers here in the top 10%
  18. 17 Liqun Qi China · #142,536 worldwide overall 22.4 of 66 papers here in the top 10%
  19. 19 Ji‐Huan He China · #310,349 worldwide overall 30.2 of 45 papers here in the top 10%
  20. 20 Stephen Boyd United States · #13,349 worldwide overall 17.7 of 34 papers here in the top 10%
  21. 21 Lorenz T. Biegler United States · #112,853 worldwide overall 19.4 of 45 papers here in the top 10%
  22. 22 Gene Howard Golub United States · #20,908 worldwide overall 17.2 of 39 papers here in the top 10%
  23. 23 Yinyu Ye United States · #60,370 worldwide overall 17.0 of 42 papers here in the top 10%
  24. 24 R. TYRRELL ROCKAFELLAR United States · #9,639 worldwide overall 16.2 of 34 papers here in the top 10%
  25. 25 Ernst Hairer Switzerland · #97,292 worldwide overall 17.6 of 51 papers here in the top 10%
  26. 26 Dongfang Li China · #55,981 worldwide overall 14.3 of 23 papers here in the top 10%
  27. 27 Omar Abu Arqub Jordan · #85,195 worldwide overall 27.0 of 36 papers here in the top 10%
  28. 28 Omar Bazighifan Yemen · #361,783 worldwide overall 23.1 of 62 papers here in the top 10%
  29. 29 Philip E. Gill United States · #39,153 worldwide overall 14.7 of 30 papers here in the top 10%
  30. 30 Jie Shen United States · #94,190 worldwide overall 21.0 of 34 papers here in the top 10%
  31. 31 Nicholas I. M. Gould United Kingdom · #107,281 worldwide overall 15.5 of 39 papers here in the top 10%
  32. 32 Zaid Odibat Jordan · #106,978 worldwide overall 23.4 of 36 papers here in the top 10%
  33. 33 Philippe L. Toint Belgium · #376,885 worldwide overall 22.1 of 58 papers here in the top 10%
  34. 34 Zhong‐Zhi Bai China · #49,494 worldwide overall 15.8 of 45 papers here in the top 10%
  35. 35 Jagdev Singh India · #1,084,935 worldwide overall 26.1 of 50 papers here in the top 10%
  36. 36 M. J. D. Powell United Kingdom · #54,969 worldwide overall 14.3 of 31 papers here in the top 10%
  37. 37 Bashir Ahmad Saudi Arabia · #121,022 worldwide overall 21.8 of 101 papers here in the top 10%
  38. 38 H. M. Srivastava Canada · #641,407 worldwide overall 29.9 of 84 papers here in the top 10%
  39. 39 José Francisco Gómez-Aguilar Mexico · #222,035 worldwide overall 23.6 of 40 papers here in the top 10%
  40. 40 John E. Dennis United States · #50,773 worldwide overall 13.3 of 24 papers here in the top 10%
  41. 41 Ian H. Sloan Australia · #191,019 worldwide overall 17.1 of 62 papers here in the top 10%
  42. 42 Alicia Cordero Spain · #787,588 worldwide overall 24.7 of 124 papers here in the top 10%
  43. 43 Kim-Chuan Toh Singapore · #83,360 worldwide overall 14.6 of 38 papers here in the top 10%
  44. 44 Bernardo Cockburn United States · #11,669 worldwide overall 13.7 of 30 papers here in the top 10%
  45. 45 Tongxing Li China · #245,813 worldwide overall 17.0 of 63 papers here in the top 10%
  46. 46 Da Xu China · #558,980 worldwide overall 15.3 of 46 papers here in the top 10%
  47. 47 George Em Karniadakis United States · #4,976 worldwide overall 12.5 of 20 papers here in the top 10%
  48. 48 Tao Tang China · #134,421 worldwide overall 13.3 of 28 papers here in the top 10%
  49. 49 Linda Ruth Petzold United States · #150,820 worldwide overall 13.3 of 29 papers here in the top 10%
  50. 50 Simeon Reich Israel · #333,277 worldwide overall 16.7 of 60 papers here in the top 10%
  51. 51 Xuehua Yang China · #362,747 worldwide overall 17.6 of 27 papers here in the top 10%
  52. 52 Juan Ramon Torregrosa Spain · #1,365,107 worldwide overall 25.2 of 135 papers here in the top 10%
  53. 53 Masao Fukushima Japan · #572,564 worldwide overall 18.6 of 65 papers here in the top 10%
  54. 54 Jong‐Shi Pang United States · #40,758 worldwide overall 14.2 of 42 papers here in the top 10%
  55. 55 Yekini Shehu China · #261,157 worldwide overall 17.3 of 64 papers here in the top 10%
  56. 56 Wenlin Qiu China · #152,640 worldwide overall 11.9 of 21 papers here in the top 10%
  57. 57 Dimitri P. Bertsekas United States · #41,159 worldwide overall 13.4 of 37 papers here in the top 10%
  58. 58 S. A. Mohiuddine Saudi Arabia · #148,722 worldwide overall 14.2 of 31 papers here in the top 10%
  59. 59 Christian Lubich Germany · #70,323 worldwide overall 14.5 of 32 papers here in the top 10%
  60. 60 C. William Gear United States · #96,705 worldwide overall 12.3 of 28 papers here in the top 10%
  61. 61 Jorge J. Morè United States · #42,430 worldwide overall 11.3 of 19 papers here in the top 10%
  62. 61 Walter Murray United States · #103,987 worldwide overall 12.1 of 27 papers here in the top 10%
  63. 63 Pratibhamoy Das India · #79,208 worldwide overall 13.0 of 21 papers here in the top 10%
  64. 64 Miroslav Krstić United States · #138,321 worldwide overall 17.3 of 39 papers here in the top 10%
  65. 65 Boris S. Mordukhovich United States · #837,174 worldwide overall 21.2 of 68 papers here in the top 10%
  66. 66 Roger Fletcher United Kingdom · #78,684 worldwide overall 11.8 of 26 papers here in the top 10%
  67. 67 Hong-lin Liao China · #175,935 worldwide overall 13.3 of 22 papers here in the top 10%
  68. 67 Lloyd N. Trefethen United Kingdom · #14,624 worldwide overall 11.8 of 27 papers here in the top 10%
  69. 69 Lawrence F. Shampine United States · #437,147 worldwide overall 17.3 of 65 papers here in the top 10%
  70. 70 J. A. Tenreiro Machado Portugal · #1,541,457 worldwide overall 25.7 of 49 papers here in the top 10%
  71. 71 Fanhai Zeng China · #158,252 worldwide overall 10.9 of 20 papers here in the top 10%
  72. 72 Hong‐Kun Xu Taiwan · #207,759 worldwide overall 13.4 of 34 papers here in the top 10%
  73. 73 Haixiang Zhang China · #264,033 worldwide overall 15.0 of 26 papers here in the top 10%
  74. 74 Xiaoming Yuan China · #65,329 worldwide overall 11.1 of 23 papers here in the top 10%
  75. 75 Sunil Kumar India · #413,851 worldwide overall 18.1 of 40 papers here in the top 10%
  76. 76 Seakweng Vong China · #479,704 worldwide overall 13.5 of 48 papers here in the top 10%
  77. 77 Michael L. Overton United States · #102,753 worldwide overall 11.5 of 29 papers here in the top 10%
  78. 78 Jen‐Chih Yao Taiwan · #1,124,308 worldwide overall 28.7 of 138 papers here in the top 10%
  79. 79 Shaher Momani Jordan · #1,356,351 worldwide overall 37.7 of 84 papers here in the top 10%
  80. 80 Paul Tseng United States · #71,808 worldwide overall 11.5 of 30 papers here in the top 10%
  81. 81 Benar Fux Svaiter Brazil · #180,789 worldwide overall 12.5 of 29 papers here in the top 10%
  82. 82 Richard H. Byrd United States · #100,840 worldwide overall 10.7 of 22 papers here in the top 10%
  83. 83 Nikolaos V. Sahinidis United States · #109,314 worldwide overall 11.0 of 24 papers here in the top 10%
  84. 84 J. C. Butcher New Zealand · #645,826 worldwide overall 14.0 of 52 papers here in the top 10%
  85. 85 Xiaojun Chen China · #453,793 worldwide overall 13.6 of 44 papers here in the top 10%
  86. 86 Olaniyi S. Iyiola United States · #179,446 worldwide overall 11.5 of 30 papers here in the top 10%
  87. 86 Jiawang Nie United States · #128,466 worldwide overall 11.0 of 28 papers here in the top 10%
  88. 88 Shijun Liao China · #153,929 worldwide overall 11.1 of 25 papers here in the top 10%
  89. 89 Juan J. Nieto Spain · #702,275 worldwide overall 25.1 of 92 papers here in the top 10%
  90. 90 Zhibo Wang China · #405,893 worldwide overall 10.2 of 21 papers here in the top 10%
  91. 90 Adrian S. Lewis United States · #131,562 worldwide overall 10.9 of 28 papers here in the top 10%
  92. 92 Higinio Ramos Spain · #2,118,205 worldwide overall 22.4 of 86 papers here in the top 10%
  93. 93 Duong Viet Thong Vietnam · #168,869 worldwide overall 12.3 of 27 papers here in the top 10%
  94. 94 James Weldon Demmel United States · #33,581 worldwide overall 9.8 of 19 papers here in the top 10%
  95. 95 Jerrold Eldon Marsden United States · #13,468 worldwide overall 10.0 of 22 papers here in the top 10%
  96. 96 YangQuan Chen United States · #177,405 worldwide overall 12.0 of 35 papers here in the top 10%
  97. 97 Herbert B. Keller United States · #65,382 worldwide overall 9.8 of 20 papers here in the top 10%
  98. 98 Michael A. Saunders United States · #55,330 worldwide overall 10.7 of 29 papers here in the top 10%
  99. 98 Yu‐Hong Dai China · #376,101 worldwide overall 10.8 of 31 papers here in the top 10%
  100. 100 Weihua Deng China · #270,920 worldwide overall 10.4 of 23 papers here in the top 10%

ranked researchers with an article, review or conference paper in Numerical Analysis. Author identities come from OpenAlex disambiguation and inherit its errors: a merged record can put one name over two people’s work, and a split one can halve a career. Every row links out to the OpenAlex record so the underlying claim is checkable, and anything that looks wrong can be reported from the row. That report files a correction against the bibliographic record for a human to review, but it is not a removal or delisting request, and no such route exists yet.

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