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Program in Engineering Science, Chung Hua University, Hsinchu 30012, Taiwan"}, {"category_id": 15, "poly": [86.0, 149.0, 962.0, 154.0, 962.0, 188.0, 86.0, 183.0], "score": 0.98, "text": "3Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan "}, {"category_id": 15, "poly": [91.0, 185.0, 1080.0, 185.0, 1080.0, 219.0, 91.0, 219.0], "score": 0.99, "text": "4Department of Computer Science and Engineering, National Sun Yat-sen University, Kaohsiung 80424, Taiwan"}, {"category_id": 15, "poly": [89.0, 239.0, 777.0, 239.0, 777.0, 270.0, 89.0, 270.0], "score": 1.0, "text": "Received 18 May 2013; Revised 26 August 2013; Accepted 29 August 2013"}, {"category_id": 15, "poly": [89.0, 287.0, 445.0, 290.0, 445.0, 324.0, 88.0, 322.0], "score": 0.98, "text": "Academic Editor: Rodrigo Lopez Pouso"}, {"category_id": 15, "poly": [89.0, 373.0, 876.0, 373.0, 876.0, 404.0, 89.0, 404.0], "score": 0.99, "text": "distribution, and reproduction in any medium, provided the original work is properly cited."}, {"category_id": 15, "poly": [91.0, 434.0, 280.0, 434.0, 280.0, 463.0, 91.0, 463.0], "score": 0.99, "text": "Linked References"}, {"category_id": 15, "poly": [116.0, 490.0, 1513.0, 490.0, 1513.0, 524.0, 116.0, 524.0], "score": 0.98, "text": "1. M. R. Barone and D. A. Caulk, \u201cSpecial boundary integral equations for approximate solution ofLaplace's equation in two-dimensional regions with circular"}, {"category_id": 15, "poly": [148.0, 551.0, 332.0, 551.0, 332.0, 577.0, 148.0, 577.0], "score": 1.0, "text": "View at MathSciNet"}, {"category_id": 15, "poly": [113.0, 577.0, 1520.0, 577.0, 1520.0, 612.0, 113.0, 612.0], "score": 0.97, "text": " 2. M. R. Barone and D. A. Caulk, \u201cSpecial boundary integral equations for approximate soution ofpotential problems in three-dimensional regions with slender"}, {"category_id": 15, "poly": [148.0, 607.0, 1513.0, 607.0, 1513.0, 641.0, 148.0, 641.0], "score": 0.98, "text": "cavities ofcircular cross-section,\" IMA Journal of Applied Mathematics, vol. 35, no. 3, pp. 311-325, 1985. View at Publisher \u00b7 View at Google Scholar "}, {"category_id": 15, "poly": [150.0, 638.0, 332.0, 638.0, 332.0, 665.0, 150.0, 665.0], "score": 0.99, "text": "View at MathSciNet"}, {"category_id": 15, "poly": [111.0, 660.0, 1542.0, 663.0, 1542.0, 697.0, 111.0, 694.0], "score": 0.97, "text": " 3. D. A. Caulk, \u201cAnalysis of steady heat conduction in regions with circular holes by a special boundary-integral method,\u201d IMA Journal of Applied Mathematics,"}, {"category_id": 15, "poly": [148.0, 694.0, 620.0, 694.0, 620.0, 726.0, 148.0, 726.0], "score": 0.97, "text": "vol. 30, pp. 231-246, 1983. View at Go0gle Scholar"}, {"category_id": 15, "poly": [111.0, 719.0, 1560.0, 724.0, 1559.0, 758.0, 111.0, 753.0], "score": 0.98, "text": "4. M. D. Bird and C. R. Steele, \u201cA solution procedure for Laplace's equation on mutiply connected circular domains,\u201d Journal of Applied Mechanics, vol. 59, pp."}, {"category_id": 15, "poly": [145.0, 750.0, 524.0, 750.0, 524.0, 782.0, 145.0, 782.0], "score": 0.99, "text": "398-3404, 1992. View at Go0gle Scholar"}, {"category_id": 15, "poly": [113.0, 780.0, 1537.0, 780.0, 1537.0, 811.0, 113.0, 811.0], "score": 0.99, "text": "5. Z. C. Li, Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities, Kluwer Academic Publishers, Boston, Mass, USA, 1998."}, {"category_id": 15, "poly": [138.0, 833.0, 1459.0, 836.0, 1459.0, 870.0, 138.0, 867.0], "score": 0.98, "text": "Z.-C. Li, T.-T. Lu, H-Y. Hu, and A. H-D. Cheng, Trefftz and Collocation Methods, WIT Press, Boston, Mass, USA, 2008. View at MathSciNet"}, {"category_id": 15, "poly": [118.0, 843.0, 150.0, 843.0, 150.0, 863.0, 118.0, 863.0], "score": 1.0, "text": "6."}, {"category_id": 15, "poly": [111.0, 862.0, 1525.0, 865.0, 1525.0, 899.0, 111.0, 897.0], "score": 0.96, "text": "7. W. T. Ang and I. Kang, \u201cA complex variable boundary element method for eliptic partial differential equations in a multiple-connected region,\" International"}, {"category_id": 15, "poly": [145.0, 897.0, 1382.0, 897.0, 1382.0, 928.0, 145.0, 928.0], "score": 0.99, "text": "Journal of Computer Mathematics, vol. 75, no. 4, pp. 515-525, 2000. View at Publisher \u00b7 View at Google Scholar View at MathSciNet"}, {"category_id": 15, "poly": [108.0, 921.0, 1491.0, 923.0, 1491.0, 958.0, 108.0, 955.0], "score": 0.98, "text": "8. J. T. Chen, S. R. Kuo, and J. H. Lin, \u201cAnalytical study and numerical experiments for degenerate scale problems in the boundary element method for two-"}, {"category_id": 15, "poly": [145.0, 955.0, 1488.0, 955.0, 1488.0, 987.0, 145.0, 987.0], "score": 0.98, "text": "dimensional elasticity,\" International Journal for Numerical Methods in Engineering, vol. 54, no. 12, pp. 1669-1681, 2002. View at Go0gle Scholar"}, {"category_id": 15, "poly": [111.0, 979.0, 1557.0, 982.0, 1557.0, 1016.0, 111.0, 1014.0], "score": 0.98, "text": " 9. J. T. Chen, C. F. Lee, J. L. Chen, and J. H. Lin,\u201cAn alternative method for degenerate scale problem in boundary element methods for two-dimensional Laplace"}, {"category_id": 15, "poly": [145.0, 1011.0, 1156.0, 1011.0, 1156.0, 1045.0, 145.0, 1045.0], "score": 0.98, "text": "equation,\" Engineering Analysis with Boundary Elements, vol. 26, pp. 559-569, 2002. View at Google Scholar"}, {"category_id": 15, "poly": [103.0, 1040.0, 1540.0, 1040.0, 1540.0, 1074.0, 103.0, 1074.0], "score": 0.98, "text": "10. J-T. Chen and W.-C. Shen, Degenerate scale for multiply connected Laplace problems,\u201d\" Mechanics Research Communications, vol. 34, no. 1, pp. 69-77,"}, {"category_id": 15, "poly": [143.0, 1065.0, 795.0, 1067.0, 794.0, 1101.0, 143.0, 1099.0], "score": 0.96, "text": " 2007. View at Publisher : View at Google Scholar \u00b7 View at MathSciNet"}, {"category_id": 15, "poly": [101.0, 1094.0, 1520.0, 1096.0, 1520.0, 1131.0, 101.0, 1128.0], "score": 0.97, "text": "11. J.-T. Chen and W.-C. Shen, *Null-field approach for Laplace problems with circular boundaries using degenerate kermels,\" Numerical Methods for Partial"}, {"category_id": 15, "poly": [145.0, 1123.0, 1245.0, 1126.0, 1245.0, 1160.0, 145.0, 1157.0], "score": 0.97, "text": "Differential Equations, vol. 25, no. 1, pp. 63-86, 2009. View at Publisher \u00b7 View at Google Scholar View at MathSciNet"}, {"category_id": 15, "poly": [98.0, 1150.0, 1560.0, 1152.0, 1559.0, 1194.0, 98.0, 1191.0], "score": 0.85, "text": "12. J. T. Chen, H C. Shh, Y. T. L, and J W.Lee, Bpolar coordat, ge mthd and thmthd offdamtal sotios forGrens fctions ofLae"}, {"category_id": 15, "poly": [101.0, 1240.0, 1560.0, 1243.0, 1559.0, 1277.0, 101.0, 1274.0], "score": 0.98, "text": "13. J. T. Chen, C. S. Wu, and K. H. Chen,\u201cA study of fee terms for plate problems in the dual boundary integral equations,\u201d Engineering Analysis with Boundary"}, {"category_id": 15, "poly": [145.0, 1272.0, 718.0, 1272.0, 718.0, 1306.0, 145.0, 1306.0], "score": 0.97, "text": "Elements, vol. 29, pp. 435-446, 2005. View at Go0gle Scholar"}, {"category_id": 15, "poly": [103.0, 1301.0, 1476.0, 1301.0, 1476.0, 1335.0, 103.0, 1335.0], "score": 0.97, "text": "14. S. R. Kuo, J. T. Chen, and S. K. Kao, \u03bcLinkage between the unit logarithmic capacity in the theory of complex variables and the degenerate scale in the"}, {"category_id": 15, "poly": [148.0, 1330.0, 1038.0, 1330.0, 1038.0, 1364.0, 148.0, 1364.0], "score": 0.97, "text": "BEM/BIEMs,\u201d\" Applied Mathematics Letters, vol. 29, pp. 929-938, 2013. View at Go0gle Scholar"}, {"category_id": 15, "poly": [98.0, 1352.0, 1535.0, 1355.0, 1535.0, 1396.0, 98.0, 1394.0], "score": 0.87, "text": "15. M-G. Le, Z-C. L, H-T. Hang, and J. Y. Chang \u201cConservative schemes and degenerate scale problens in the nullfeld methd for Dirichet probems of"}, {"category_id": 15, "poly": [148.0, 1386.0, 1560.0, 1386.0, 1560.0, 1420.0, 148.0, 1420.0], "score": 0.98, "text": "Laplace's equation in circular domains with circular holes,\u201d Engineering Analysis with Boundary Elements, vol 37, no. 1, pp. 95-106, 2013. View at Publisher"}, {"category_id": 15, "poly": [153.0, 1418.0, 576.0, 1418.0, 576.0, 1450.0, 153.0, 1450.0], "score": 0.98, "text": "View at Google Scholar : View at MathSciNet"}, {"category_id": 15, "poly": [103.0, 1445.0, 1545.0, 1445.0, 1545.0, 1479.0, 103.0, 1479.0], "score": 0.97, "text": "16. M-G. Lee, Z.-C. Li, L. P. Zhang, H-T. Huang, and J. Y. Chiang, \u201cAlgorithm singularity of the nul-field method for Dirichlet problems ofLaplace's equation in"}, {"category_id": 15, "poly": [145.0, 1472.0, 972.0, 1474.0, 972.0, 1508.0, 145.0, 1506.0], "score": 0.97, "text": "annular and circular domains,\u2019 submitted to. Engineering Analysis with Boundary Elements."}, {"category_id": 15, "poly": [103.0, 1503.0, 1540.0, 1503.0, 1540.0, 1537.0, 103.0, 1537.0], "score": 0.97, "text": "17. Z.-C. Li, H-T. Huang, C.-P. Liaw, and M.-G. Lee, \u201cThe null-field method of Dirichlet problems of Laplace's equation on circular domains with circular holes,\""}, {"category_id": 15, "poly": [145.0, 1530.0, 1491.0, 1533.0, 1491.0, 1567.0, 145.0, 1564.0], "score": 0.97, "text": "Engineering Analysis with Boundary Elements, vol. 36, no. 3, pp. 477-491, 2012. View at Publisher View at Go0gle Scholar \u00b7 View at MathSciNet"}, {"category_id": 15, "poly": [103.0, 1562.0, 1451.0, 1562.0, 1451.0, 1596.0, 103.0, 1596.0], "score": 0.97, "text": "18. V. D. Kupradze and M A. Aleksidze, The method of functional equations for the approximate soution of certain boundary-value problems,\" USSR"}, {"category_id": 15, "poly": [103.0, 1620.0, 1540.0, 1620.0, 1540.0, 1654.0, 103.0, 1654.0], "score": 0.98, "text": "19. G. Fairweather and A. Karageorghis, \u201cThe method of fundamental solutions for ellptic boundary value problems,\u201d Advances in Computational Mathematics,"}, {"category_id": 15, "poly": [98.0, 1671.0, 1520.0, 1674.0, 1520.0, 1715.0, 98.0, 1713.0], "score": 0.93, "text": "20. C. S. Chen, Y. C. Hon, and R A.Schaback, Scientific computing with radial basis functions [Ph.D. thesis], Department of Mathematis, Universityof"}, {"category_id": 15, "poly": [145.0, 1708.0, 615.0, 1708.0, 615.0, 1740.0, 145.0, 1740.0], "score": 0.98, "text": "Southern Mississippi Hattiesburg, Miss, USA, 2005."}, {"category_id": 15, "poly": [101.0, 1730.0, 1552.0, 1735.0, 1552.0, 1774.0, 101.0, 1769.0], "score": 0.95, "text": "21. Z-C. Li H-T. Huang, M-G. Lee, and J. Y. Chiang, \u201cError analysis ofthe method of fundamental soutions for linear elastostatics,\" Journal of Computational"}, {"category_id": 15, "poly": [106.0, 1796.0, 153.0, 1796.0, 153.0, 1822.0, 106.0, 1822.0], "score": 1.0, "text": "22."}, {"category_id": 15, "poly": [138.0, 1791.0, 1464.0, 1793.0, 1464.0, 1827.0, 138.0, 1825.0], "score": 0.98, "text": "Z.-C. Li, J. Huang, and H.-T. Huang, \u201cStability analysis of method of fundamental solutions for mixed boundary value problems of Laplace's equation,\""}, {"category_id": 15, "poly": [148.0, 1825.0, 1154.0, 1825.0, 1154.0, 1857.0, 148.0, 1857.0], "score": 0.97, "text": "Computing, vol. 88, no. 1-2, pp. 1-29, 2010. View at Publisher View at Go0gle Scholar View at MathSciNet"}, {"category_id": 15, "poly": [96.0, 1847.0, 1518.0, 1849.0, 1518.0, 1891.0, 96.0, 1888.0], "score": 0.87, "text": "23. T.Wridt, Reviewofthe mulfe methd with discrete souce,Joural of Quatitative Spectroscopy and Raditive Transfer, vol 106, p 534545,"}, {"category_id": 15, "poly": [143.0, 1878.0, 423.0, 1881.0, 423.0, 1915.0, 143.0, 1913.0], "score": 0.99, "text": " 2007. View at Google Scholar"}, {"category_id": 15, "poly": [101.0, 1908.0, 1545.0, 1913.0, 1545.0, 1947.0, 101.0, 1942.0], "score": 0.97, "text": " 24. A. Doicu and T. Wried, \u201cCalculation ofthe T matrix in the null-field method with discret sources,\u201d\" The Journal of the Optical Society of America, vol. 16, pp."}, {"category_id": 15, "poly": [145.0, 1934.0, 536.0, 1940.0, 536.0, 1974.0, 145.0, 1969.0], "score": 0.99, "text": "2539-2544, 1999. View at Google Scholar"}, {"category_id": 15, "poly": [101.0, 1964.0, 1540.0, 1966.0, 1540.0, 2000.0, 101.0, 1998.0], "score": 0.98, "text": " 25. J. Hellmers, V. Schmidt, and T. Wriedt, \u201cImproving the numerical instabilty of T-matrix light scattering calculations for extreme articles shapes using the nulfeld"}, {"category_id": 15, "poly": [143.0, 1991.0, 1513.0, 1993.0, 1513.0, 2034.0, 143.0, 2032.0], "score": 0.9, "text": "method with discrete sources, Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 112, pp. 1679-1686, 2011. VwatGoogle Scholr"}, {"category_id": 15, "poly": [98.0, 2020.0, 1555.0, 2022.0, 1555.0, 2064.0, 98.0, 2061.0], "score": 0.85, "text": "26. D. Palaniapan, \u201cEctrostatics ofto intersectin conucting cynders,\u201d Mathematical and Comuter Mdelling, vol 36, no. 7-8, pp. 8230, 2002.Vw"}, {"category_id": 15, "poly": [148.0, 2054.0, 681.0, 2054.0, 681.0, 2088.0, 148.0, 2088.0], "score": 0.98, "text": "at Publisher View at Google Scholar : View at MathSciNet"}, {"category_id": 15, "poly": [106.0, 2086.0, 153.0, 2086.0, 153.0, 2112.0, 106.0, 2112.0], "score": 1.0, "text": "27."}, {"category_id": 15, "poly": [140.0, 2081.0, 1562.0, 2083.0, 1562.0, 2117.0, 140.0, 2115.0], "score": 0.98, "text": "M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover Publications, New York,"}, {"category_id": 15, "poly": [148.0, 2115.0, 303.0, 2115.0, 303.0, 2142.0, 148.0, 2142.0], "score": 1.0, "text": "NY, USA, 1964."}, {"category_id": 15, "poly": [101.0, 2139.0, 1555.0, 2142.0, 1555.0, 2176.0, 101.0, 2173.0], "score": 0.99, "text": "28. K. E. Atkinson, A Survey of Numerical Methods for the Solutions of Fredholm Integral Equations of the Second Kind, Cambridge University Press, 1997."}, {"category_id": 15, "poly": [106.0, 2173.0, 153.0, 2173.0, 153.0, 2200.0, 106.0, 2200.0], "score": 1.0, "text": "29."}, {"category_id": 15, "poly": [148.0, 2200.0, 258.0, 2200.0, 258.0, 2234.0, 148.0, 2234.0], "score": 1.0, "text": "MathSciNet"}, {"category_id": 15, "poly": [101.0, 2227.0, 1299.0, 2229.0, 1299.0, 2263.0, 101.0, 2261.0], "score": 0.98, "text": " 30. C. B. Liem, T. Li, and T. M. Shih, The Splitting Extrapolation Method, World Scientific, Singapore, 1995. View at MathSciNet"}, {"category_id": 15, "poly": [89.0, 339.0, 180.0, 339.0, 180.0, 373.0, 89.0, 373.0], "score": 1.0, "text": "Copyright"}, {"category_id": 15, "poly": [205.0, 339.0, 1528.0, 339.0, 1528.0, 373.0, 205.0, 373.0], "score": 0.97, "text": "2013 Hung- Tsai Huang et al. This is an open access article distributed under the Creative Commons Atribution License, which permits umrestricted use,"}, {"category_id": 15, "poly": [148.0, 1187.0, 1424.0, 1187.0, 1424.0, 1221.0, 148.0, 1221.0], "score": 0.98, "text": "problems containing circular boundaries,\u201d\" Engineering Analysis with Boundary Elements, vol. 35, no. 2, pp. 236-243, 2011. View at Publisher"}, {"category_id": 15, "poly": [1440.0, 1187.0, 1515.0, 1187.0, 1515.0, 1221.0, 1440.0, 1221.0], "score": 0.97, "text": "View at"}, {"category_id": 15, "poly": [148.0, 809.0, 304.0, 809.0, 304.0, 841.0, 148.0, 841.0], "score": 1.0, "text": "View at Publisher"}, {"category_id": 15, "poly": [148.0, 1589.0, 1124.0, 1589.0, 1124.0, 1623.0, 148.0, 1623.0], "score": 0.97, "text": "Computational Mathematics and Mathematical Physics, vol. 4, pp. 82-126, 1964. View at Google Scholar"}, {"category_id": 15, "poly": [1140.0, 1589.0, 1323.0, 1589.0, 1323.0, 1623.0, 1140.0, 1623.0], "score": 0.97, "text": "View at MathSciNet"}, {"category_id": 15, "poly": [145.0, 519.0, 1276.0, 519.0, 1276.0, 553.0, 145.0, 553.0], "score": 0.98, "text": "holes,\" The Quarterly Journal of Mechanics and Applied Mathematics, vol. 34, no. 3, pp. 265-286, 1981. View at Publisher"}, {"category_id": 15, "poly": [1291.0, 519.0, 1515.0, 519.0, 1515.0, 553.0, 1291.0, 553.0], "score": 0.94, "text": "View at Google Scholar -"}, {"category_id": 15, "poly": [148.0, 1766.0, 1052.0, 1766.0, 1052.0, 1798.0, 148.0, 1798.0], "score": 0.98, "text": "and Applied Mathematics, vol. 251, pp. 133-153, 2013. View at Publisher View at Go0gle Scholar"}, {"category_id": 15, "poly": [1067.0, 1766.0, 1255.0, 1766.0, 1255.0, 1798.0, 1067.0, 1798.0], "score": 1.0, "text": "View at MathSciNet"}, {"category_id": 15, "poly": [135.0, 2166.0, 1191.0, 2168.0, 1191.0, 2210.0, 135.0, 2207.0], "score": 0.96, "text": "G. C. Hsiao and W. L. Wendand, Boundary Integral Equations, Springer, Berln, Germany, 2008. View at Publisher"}, {"category_id": 15, "poly": [1207.0, 2166.0, 1510.0, 2168.0, 1510.0, 2210.0, 1207.0, 2207.0], "score": 0.99, "text": "Vew at Google Scholar View at"}, {"category_id": 15, "poly": [148.0, 1213.0, 287.0, 1213.0, 287.0, 1245.0, 148.0, 1245.0], "score": 0.99, "text": "Google Scholar"}, {"category_id": 15, "poly": [302.0, 1213.0, 490.0, 1213.0, 490.0, 1245.0, 302.0, 1245.0], "score": 1.0, "text": "View at MathSciNet"}, {"category_id": 15, "poly": [320.0, 809.0, 533.0, 809.0, 533.0, 841.0, 320.0, 841.0], "score": 0.97, "text": "View at Google Scholar"}, {"category_id": 15, "poly": [549.0, 809.0, 733.0, 809.0, 733.0, 841.0, 549.0, 841.0], "score": 1.0, "text": "View at MathSciNet"}, {"category_id": 15, "poly": [848.0, 1649.0, 1036.0, 1649.0, 1036.0, 1684.0, 848.0, 1684.0], "score": 1.0, "text": "View at MathSciNet"}, {"category_id": 15, "poly": [148.0, 1649.0, 604.0, 1649.0, 604.0, 1684.0, 148.0, 1684.0], "score": 0.97, "text": "vol. 9, no. 1-2, pp. 69-95, 1998. View at Publisher"}, {"category_id": 15, "poly": [620.0, 1649.0, 833.0, 1649.0, 833.0, 1684.0, 620.0, 1684.0], "score": 0.97, "text": "View at Google Scholar"}], "page_info": {"page_no": 1, "height": 2339, "width": 1653}}, {"layout_dets": [{"category_id": 1, "poly": [105.59308624267578, 75.29589080810547, 1552.5455322265625, 75.29589080810547, 1552.5455322265625, 368.9474182128906, 105.59308624267578, 368.9474182128906], "score": 0.9942938089370728}, {"category_id": 13, "poly": [231, 173, 245, 173, 245, 188, 231, 188], "score": 0.28, "latex": "\\cdot"}, {"category_id": 15, "poly": [96.0, 73.0, 1523.0, 76.0, 1523.0, 117.0, 96.0, 114.0], "score": 0.96, "text": " 31. H-O. Kreiss and J. Oliger, \u201cStability ofthe Fourier method,\" SIAM Journal on Numerical Analysis, vol 16, no. 3, pp. 421-433, 1979. View at Publisher "}, {"category_id": 15, "poly": [145.0, 110.0, 563.0, 110.0, 563.0, 141.0, 145.0, 141.0], "score": 0.98, "text": "View at Google Scholar \u00b7 View at MathSciNet"}, {"category_id": 15, "poly": [103.0, 139.0, 148.0, 139.0, 148.0, 166.0, 103.0, 166.0], "score": 1.0, "text": "32."}, {"category_id": 15, "poly": [140.0, 134.0, 1560.0, 136.0, 1559.0, 171.0, 140.0, 168.0], "score": 0.98, "text": " J. E. Pasciak, \u201cSpectral and pseudospectral methods for advection equations,\u201d\" Mathematics of Computation, vol. 35, no. 152, pp. 1081-1092, 1980. View at"}, {"category_id": 15, "poly": [98.0, 192.0, 1547.0, 195.0, 1547.0, 229.0, 98.0, 227.0], "score": 0.98, "text": " 33. C. Canuto and A. Quarteroni, \u201cApproximation results for orthogonal polynomials in Sobolev spaces,\" Mathematics of Computation, vol. 38, no. 157, pp. 67-"}, {"category_id": 15, "poly": [140.0, 222.0, 829.0, 224.0, 829.0, 258.0, 140.0, 256.0], "score": 0.98, "text": " 86, 1982. View at Publisher View at Google Scholar \u00b7 View at MathSciNet"}, {"category_id": 15, "poly": [101.0, 253.0, 1515.0, 253.0, 1515.0, 288.0, 101.0, 288.0], "score": 0.98, "text": " 34. C. Canuto, M. Y. Hussaini, A. Quarteroni and T. A. Zang, Spectral Methods, Fundamentals in Single Domains, Springer, New York, NY, USA, 2006."}, {"category_id": 15, "poly": [148.0, 285.0, 337.0, 285.0, 337.0, 314.0, 148.0, 314.0], "score": 0.97, "text": "View at MathSciNet"}, {"category_id": 15, "poly": [103.0, 314.0, 148.0, 314.0, 148.0, 341.0, 103.0, 341.0], "score": 1.0, "text": "35."}, {"category_id": 15, "poly": [138.0, 307.0, 1523.0, 309.0, 1523.0, 351.0, 138.0, 348.0], "score": 0.96, "text": "Z-C. Li, H-T. Huang, Y. Wei, and A. H-D. Cheng, Effective Condition Number for Numerical Partial Differential Equations, Science Press, Bejing."}, {"category_id": 15, "poly": [148.0, 344.0, 263.0, 344.0, 263.0, 370.0, 148.0, 370.0], "score": 0.99, "text": "China, 2013."}, {"category_id": 15, "poly": [145.0, 168.0, 230.0, 168.0, 230.0, 200.0, 145.0, 200.0], "score": 0.99, "text": "Publisher"}, {"category_id": 15, "poly": [246.0, 168.0, 662.0, 168.0, 662.0, 200.0, 246.0, 200.0], "score": 0.96, "text": "View at Google Scholar : View at MathSciNet"}], "page_info": {"page_no": 2, "height": 2339, "width": 1653}}]