Sivakumar, Natarajan Associate Professor

academicarticle

• Bailey, B. A., Schlumprecht, T., & Sivakumar, N. (2011). Nonuniform Sampling and Recovery of Multidimensional Bandlimited Functions by Gaussian Radial-Basis Functions. Journal of Fourier Analysis and Applications.  17(3), 519-533.
  
• Schlumprecht, T. h., & Sivakumar, N. (2009). On the sampling and recovery of bandlimited functions via scattered translates of the Gaussian. Journal of Approximation Theory.  159(1), 128-153.
  
• Mhaskar, H. N., Narcowich, F. J., Sivakumar, N., & Ward, J. D. (2002). Approximation with interpolatory constraints. Proceedings of the American Mathematical Society.  130(5), 1355-1364.
  
• Riemenschneider, S. D., & Sivakumar, N. (1999). On cardinal interpolation by Gaussian radial-basis functions: Properties of fundamental functions and estimates for Lebesgue constants. Journal d'Analyse Mathematique.  79(1), 33-61.
  
• Riemenschneider, S. D., & Sivakumar, N. (1999). Gaussian radial-basis functions: Cardinal interpolation of l(p) and power-growth data. Advances in Computational Mathematics.  11(2-3), 229-251.
  
• Narcowich, F. J., Sivakumar, N., & Ward, J. D. (1998). Stability results for scattered-data interpolation on Euclidean spheres. Advances in Computational Mathematics.  8(3), 137-163.
  
• Sivakumar, N. (1997). A note on the Gaussian cardinal-interpolation operator. Proceedings of the Edinburgh Mathematical Society.  40(1), 137-149.
  
• Baxter, B., & Sivakumar, N. (1996). On shifted cardinal interpolation by Gaussians and multiquadrics. Journal of Approximation Theory.  87(1), 36-59.
  
• BAXTER, B., SIVAKUMAR, N., & WARD, J. D. (1994). REGARDING THE P-NORMS OF RADIAL BASIS INTERPOLATION MATRICES. Constructive Approximation.  10(4), 451-468.
  
• NARCOWICH, F. J., SIVAKUMAR, N., & WARD, J. D. (1994). ON CONDITION NUMBERS ASSOCIATED WITH RADIAL-FUNCTION INTERPOLATION. Journal of Mathematical Analysis and Applications.  186(2), 457-485.
  
• SIVAKUMAR, N., & WARD, J. D. (1993). ON THE LEAST-SQUARES FIT BY RADIAL FUNCTIONS TO MULTIDIMENSIONAL SCATTERED DATA. Numerische Mathematik.  65(2), 219-243.
  
• QUAK, E., SIVAKUMAR, N., & WARD, J. D. (1993). LEAST-SQUARES APPROXIMATION BY RADIAL FUNCTIONS. SIAM Journal on Mathematical Analysis.  24(4), 1043-1066.
  
• Ron, A., & Sivakumar, N. (1993). The approximation order of box spline spaces. Proceedings of the American Mathematical Society.  117(2), 473-482.
  
• BALL, K., SIVAKUMAR, N., & WARD, J. D. (1992). ON THE SENSITIVITY OF RADIAL BASIS INTERPOLATION TO MINIMAL DATA SEPARATION DISTANCE. Constructive Approximation.  8(4), 401-426.
  
• SIVAKUMAR, N. (1991). CONCERNING THE LINEAR-DEPENDENCE OF INTEGER TRANSLATES OF EXPONENTIAL BOX SPLINES. Journal of Approximation Theory.  64(1), 95-118.
  
• JETTER, K., RIEMENSCHNEIDER, S. D., & SIVAKUMAR, N. (1991). SCHOENBERG EXPONENTIAL EULER SPLINE CURVES. Proceedings of the Royal Society of Edinburgh Section A Mathematics.  118(1-2), 21-33.
  
• JIA, R. Q., & SIVAKUMAR, N. (1990). ON THE LINEAR INDEPENDENCE OF INTEGER TRANSLATES OF BOX SPLINES WITH RATIONAL DIRECTIONS. Linear Algebra and Its Applications.  135(C), 19-31.
  
• SIVAKUMAR, N. (1990). ON BIVARIATE CARDINAL INTERPOLATION BY SHIFTED SPLINES ON A 3-DIRECTION MESH. Journal of Approximation Theory.  61(2), 178-193.
  
• SIVAKUMAR, N. (1989). ON UNIVARIATE CARDINAL INTERPOLATION BY SHIFTED SPLINES. Rocky Mountain Journal of Mathematics.  19(2), 481-489.