Bibliography for the Laplace Transform

short

 

  1. An analytical solution for two-dimensional inverse heat conduction problems using Laplace transform
    Monde M.; Arima H.; Liu W.; Mitutake Y.; Hammad J.A.
    International Journal of Heat and Mass Transfer, June 2003, vol. 46, no. 12, pp. 2135-2148(14), Ingenta.  
  2. Asymptotics of Fourier and Laplace transforms in weighted spaces of analytic functions.  
    Matsaev, V.; Sodin, M.
    Algebra i Analiz  14  (2002),  no. 4, 107--140, MathSciNet.  
  3. Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method
    Sutradhar A.; Paulino G.H.; Gray L.J.
    Engineering Analysis with Boundary Elements, February 2002, vol. 26, no. 2, pp. 119-132(14), Ingenta.  
  4. Inverse Laplace transforms of a class of non-rational fractional functions.
    Chandran, Pallath
    Internat. J. Math. Ed. Sci. Tech. 32 (2001), no. 1, 136--140, MathSciNet.  
  5. Laplace Transform of Temperate Holomorphic Functions
    Berni O.
    Compositio Mathematica, November 2001, vol. 129, no. 2, pp. 183-201(19), Ingenta.  
  6. Classroom Note: Fourier Method for Laplace Transform Inversion
    Iqbal M.
    Journal of Applied Mathematics and Decision Sciences, 1 September 2001, vol. 5, no. 3, pp. 193-200(8), Ingenta.  
  7. Laplace transform inversions using optimal contours in the complex plane.  
    Evans, G. A.; Chung, K. C.
    Int. J. Comput. Math.  73  (2000),  no. 4, 531--543, MathSciNet.  
  8. Uniform asymptotic expansions of an inverse-Laplace-transform integral with applications to problems of wave propagation
    Dai H-H.; Wong R.; Rui B.
    Quarterly Journal of Mechanics and Applied Mathematics, September 1999, vol. 52, no. 3, pp. 327-348(22), Ingenta.  
  9. Inverse two-sided Laplace transform for probability density functions
    Tagliani A.
    Journal of Computational and Applied Mathematics, 17 April 1998, vol. 90, no. 2, pp. 157-170(14), Ingenta.  
  10. Studies in Bessel functions via Laplace transforms.
    Chorlton, Frank
    Internat. J. Math. Ed. Sci. Tech. 29 (1998), no. 3, 437--443, MathSciNet.  
  11. Integral Transforms with Exponential Kernels and Laplace Transform  
    Masaki Kashiwara; Pierre Schapira  
    Journal of the American Mathematical Society, Vol. 10, No. 4. (Oct., 1997), pp. 939-972, Jstor.  
  12. Laplace Transform and New Mathematical Theory of Viscoelasticity
    Brilla J.
    Meccanica, June 1997, vol. 32, no. 3, pp. 182-195(14), Ingenta.  
  13. A Laplace transform solution for tracer tests in a radially convergent flow field with upstream dispersion
    Jui-Sheng C.; Chen-Wuing L.; Chia-Shyun C.; Hun-Der Y.
    Journal of Hydrology, September 1996, vol. 183, no. 3, pp. 263-275(13), Ingenta.  
  14. An Iterative Method for the Numerical Inversion of Laplace Transforms  
    Cristina Cunha; Fermin Viloche  
    Mathematics of Computation, Vol. 64, No. 211. (Jul., 1995), pp. 1193-1198, Jstor.  
  15. A technique for increasing the accuracy of the FFT-based method of numerical inversion of Laplace transforms.
    Hwang, Chyi; Wu, Rong Yuang; Lu, Ming Jeng
    Comput. Math. Appl. 27 (1994), no. 7, 23--29, MathSciNet.  
  16. The Laplace Transform and Spectral Representations of Polynomial Operator Pencils  
    A. A. Inayat-Hussain; C. Zorzan  
    Proceedings: Mathematical and Physical Sciences, Vol. 443, No. 1918. (Nov. 8, 1993), pp. 333-342, Jstor.  
  17. A Regularization Method for the Numerical Inversion of the Laplace Transform  
    Chen Wei Dong  
    SIAM Journal on Numerical Analysis, Vol. 30, No. 3. (Jun., 1993), pp. 759-773, Jstor.  
  18. Hardy Integral Estimates for the Laplace Transform  
    Steven Bloom  
    Proceedings of the American Mathematical Society, Vol. 116, No. 2. (Oct., 1992), pp. 417-426, Jstor.  
  19. Teaching the Laplace Transform Using Diagrams (in Classroom Capsules)  
    V. Ngo; S. Ouzomgi  
    The College Mathematics Journal, Vol. 23, No. 4. (Sep., 1992), pp. 309-312, Jstor.  
  20. Systems of Linear Differential Equations by Laplace Transform  
    H. Guggenheimer  
    The College Mathematics Journal, Vol. 23, No. 3. (May, 1992), pp. 196-202, Jstor.  
  21. A Fast Laplace Transform Based on Laguerre Functions  
    John Strain  
    Mathematics of Computation, Vol. 58, No. 197. (Jan., 1992), pp. 275-283, Jstor.  
  22. Direct method of finding the inverse Laplace transforms.
    Bhaskara Murthy, V. S.
    Math. Ed. (Siwan) 26 (1992), no. 2, 128--131, MathSciNet.  
  23. Tauberian Theorems for the Laplace-Stieltjes Transform  
    C. J. K. Batty  
    Transactions of the American Mathematical Society, Vol. 322, No. 2. (Dec., 1990), pp. 783-804, Jstor.  
  24. Convergence of Piessens' Method for Numerical Inversion of the Laplace Transform on the Real Line  
    Davis K. Cope  
    SIAM Journal on Numerical Analysis, Vol. 27, No. 5. (Oct., 1990), pp. 1345-1354, Jstor.  
  25. Error Analysis of a Laplace Transform Inversion Procedure  
    Wilson C. Obi  
    SIAM Journal on Numerical Analysis, Vol. 27, No. 2. (Apr., 1990), pp. 457-469, Jstor.  
  26. Tauberian Theorems for the Laplace-Stieltjes Transform  
    C. J. K. Batty  
    Transactions of the American Mathematical Society, Vol. 322, No. 2. (Dec., 1990), pp. 783-804, Jstor.  
  27. Laplace transform pairs of n-dimensions and heat conduction problem.
    Dahiya, R. S.; Vinayagamoorthy, M.
    Math. Comput. Modelling 13 (1990), no. 10, 35--50, MathSciNet.  
  28. An Inverse Laplace Transform: Problem 88-20 (in Solutions)  
    O. G. Ruehr  
    SIAM Review, Vol. 31, No. 4. (Dec., 1989), pp. 685-686, Jstor.  
  29. Complex Variable and Regularization Methods of Inversion of the Laplace Transform  
    D. D. Ang; John Lund; Frank Stenger  
    Mathematics of Computation, Vol. 53, No. 188. (Oct., 1989), pp. 589-608, Jstor.  
  30. A Laplace Transform: Problem 88-13 (in Solutions)  
    Norbert Ortner; Peter Wagner  
    SIAM Review, Vol. 31, No. 3. (Sep., 1989), pp. 497-498, Jstor.  
  31. Complex variable and regularization methods of inversion of the Laplace transform.  
    Ang, D. D.; Lund, John; Stenger, Frank
    Math. Comp.  53  (1989),  no. 188, 589--608, MathSciNet.  
  32. Fourier-Laplace Transforms and the Bergman Spaces  
    Saburou Saitoh  
    Proceedings of the American Mathematical Society, Vol. 102, No. 4. (Apr., 1988), pp. 985-992, Jstor.  
  33. The Laplace Transform Inversion by Inspection  
    Abraham Ungar  
    The American Mathematical Monthly, Vol. 93, No. 10. (Dec., 1986), pp. 786-791, Jstor.  
  34. Modification of the Weeks Method for Numerical Inversion of the Laplace Transform  
    J. N. Lyness; G. Giunta  
    Mathematics of Computation, Vol. 47, No. 175. (Jul., 1986), pp. 313-322, Jstor.  
  35. Shorter Notes: Ranges of Joint Laplace-Fourier Transforms  
    Daniel J. Grubb  
    Proceedings of the American Mathematical Society, Vol. 97, No. 2. (Jun., 1986), pp. 372-373, Jstor.  
  36. On the Recovery and Resolution of Exponential Relaxation Rates from Experimental Data. III. The Effect of Sampling and Truncation of Data on the Laplace Transform Inversion  
    M. Bertero; P. Brianzi; E. R. Pike  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 398, No. 1814. (Mar. 8, 1985), pp. 23-44, Jstor.  
  37. On the Laplace transform of a class of analytic functions.
    Rusev, Petar
    Bull. Soc. Sci. Lett. L 35 (1985), no. 1, 5 pp., MathSciNet.  
  38. The true origins of the Laplace transform.
    Deakin, Michael A. B.
    Math. Ed. 1 (1985), no. 4, 24--28, MathSciNet.  
  39. On the Recovery and Resolution of Exponential Relaxation Rates from Experimental Data: A Singular-Value Analysis of the Laplace Transform Inversion in the Presence of Noise  
    M. Bertero; P. Boccacci; E. R. Pike  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 383, No. 1784. (Sep. 8, 1982), pp. 15-29, Jstor.  
  40. Laplace Transforms (in Notes)  
    Katharine O'Brien  
    Mathematics Magazine, Vol. 54, No. 2. (Mar., 1981), p. 78, Jstor.  
  41. Euler's Version of the Laplace Transform  
    Michael A. B. Deakin  
    The American Mathematical Monthly, Vol. 87, No. 4. (Apr., 1980), pp. 264-269, Jstor.  
  42. Relation between real and complex properties of the Laplace transform.
    Sova, Miroslav
    With a loose Russian summary.   Casopis Pest. Mat.  105  (1980), no. 2, 111--119, 208, MathSciNet.  
  43. Complex variables and the Laplace transform for engineers. Corrected reprint of the 1961 original.
    LePage, Wilbur R.
    Dover Publications, Inc., New York, 1980. xvii+475 pp. ISBN: 0-486-63926-6 30-01, MathSciNet.  
  44. The symmetric Laplace transform of the function (1/s)exp(-as/(s+b)). (Spanish)  
    de Swaan Oliva, Abraham
    Acta Mexicana Cienc. Tecn.  9(10)  (1975/76), no. 25-30, 26--28 (1978). (Reviewer: L. Arteaga) 44A10
  45. New Methods for Accelerating the Convergence of Sequences Arising in Laplace Transform Theory  
    Jet Wimp  
    SIAM Journal on Numerical Analysis, Vol. 14, No. 2. (Apr., 1977), pp. 194-204, Jstor.  
  46. A Note on a Laplace Transform Pair Associated with Mass Transport in Porous Media and Heat Transport Problems  
    F. T. Lindstrom; F. Oberhettinger  
    SIAM Journal on Applied Mathematics, Vol. 29, No. 2. (Sep., 1975), pp. 288-292, Jstor.  
  47. Integration of Ordinary Linear Differential Equations by Laplace-Stieltjes Transforms  
    James D'Archangelo; Philip Hartman  
    Transactions of the American Mathematical Society, Vol. 204. (Apr., 1975), pp. 245-266, Jstor.  
  48. On Laplace Transforms Near the Origin  
    R. Wong  
    Mathematics of Computation, Vol. 29, No. 130. (Apr., 1975), pp. 573-576, Jstor.  
  49. Simultaneous Reduction and Expansion of Multidimensional Laplace Transform Kernels
    Larry A. Crum; James A. Heinen  
    SIAM Journal on Applied Mathematics, Vol. 26, No. 4. (Jun., 1974), pp. 753-771, Jstor.  
  50. Linear Ordinary Differential Equations with Laplace-Stieltjes Transforms as Coefficients  
    James D'Archangelo  
    Transactions of the American Mathematical Society, Vol. 195. (Aug., 1974), pp. 115-145, Jstor.  
  51. Linear Ordinary Differential Equations with Laplace-Stieltjes Transforms as Coefficients  
    James D'Archangelo  
    Transactions of the American Mathematical Society, Vol. 195. (Aug., 1974), pp. 115-145, Jstor.  
  52. Some rules in Laplace transform of one and two variables.
    Saxena, Vinod Prakash
    Math. Education 8 (1974), A1--A8, MathSciNet.  
  53. Some theorems on the generalized Laplace transform. (Spanish)  
    González de Galindo, S. E.
    Univ. Nac. Tucumán Rev. Ser. A  23  (1973), 199--204 (1974). (Reviewer: N. Hayek Calil) 44A15
  54. On the Generation of Rational Function Approximations for Laplace Transform Inversion with an Application to Viscoelasticity  
    I. M. Longman  
    SIAM Journal on Applied Mathematics, Vol. 24, No. 4. (Jun., 1973), pp. 429-440, Jstor.  
  55. Asymptotic Inversion of Laplace Transforms: A Class of Counterexamples  
    John S. Lew  
    Proceedings of the American Mathematical Society, Vol. 39, No. 2. (Jul., 1973), pp. 329-336, Jstor.  
  56. On Hardy's Inequality and Laplace Transforms in Weighted Rearrangement Invariant Spaces  
    Kenneth F. Andersen  
    Proceedings of the American Mathematical Society, Vol. 39, No. 2. (Jul., 1973), pp. 295-299, Jstor.  
  57. Traffic Flow: Laplace Transforms (in Classroom Notes)  
    E. A. Bender; L. P. Neuwirth  
    The American Mathematical Monthly, Vol. 80, No. 4. (Apr., 1973), pp. 417-423, Jstor.  
  58. Applications of Laplace Transforms and their Inverses  
    Charles Fox  
    Proceedings of the American Mathematical Society, Vol. 35, No. 1. (Sep., 1972), pp. 193-200, Jstor.  
  59. Approximate Laplace Transform Inversion Applied to a Problem in Electrical Network Theory  
    I. M. Longman  
    SIAM Journal on Applied Mathematics, Vol. 23, No. 4. (Dec., 1972), pp. 439-445, Jstor.  
  60. On the Laplace Transform of a Temperate Distribution Supported by a Cone  
    Bent E. Petersen  
    Proceedings of the American Mathematical Society, Vol. 35, No. 1. (Sep., 1972), pp. 123-128, Jstor.  
  61. On Rational Approximation to the Inverse Laplace Transform  
    J. E. Akin; J. Counts  
    SIAM Journal on Applied Mathematics, Vol. 17, No. 6. (Nov., 1969), pp. 1035-1040, Jstor.  
  62. On the Condition of a Matrix Arising in the Numerical Inversion of the Laplace Transform  
    Walter Gautschi  
    Mathematics of Computation, Vol. 23, No. 105. (Jan., 1969), pp. 109-118, Jstor.  
  63. The Asymptotic Estimation of a Laplace Transform-arising in the Theory of Magnetoresistance  
    H. O. Pollak; Lowell Schoenfeld  
    SIAM Journal on Applied Mathematics, Vol. 17, No. 1. (Jan., 1969), pp. 206-211, Jstor.  
  64. A theorem on the Laplace transform of two variables. (Spanish)  
    Dahiya, R. S.
    Repûb. Venezuela Bol. Acad. Ci. Fís. Mat. Natur.  29  (1969), no. 82, 72--78. (Reviewer: L. Berg) 44A10
  65. Some Properties of Laplace Transforms of Measures  
    O. S. Rothaus  
    Transactions of the American Mathematical Society, Vol. 131, No. 1. (Apr., 1968), pp. 163-169, Jstor.  
  66. Numerical Inversion of a Laplace Transform  
    R. A. Spinelli  
    SIAM Journal on Numerical Analysis, Vol. 3, No. 4. (Dec., 1966), pp. 636-649, Jstor.  
  67. Numerical Inversion of the Laplace Transform by Use of Jacobi Polynomials  
    Max K. Miller; W. T. Guy, Jr.  
    SIAM Journal on Numerical Analysis, Vol. 3, No. 4. (Dec., 1966), pp. 624-635, Jstor.  
  68. Inversion of the N-Dimensional Laplace Transform (in Technical Notes and Short Papers)  
    Bruce S. Berger  
    Mathematics of Computation, Vol. 20, No. 95. (Jul., 1966), pp. 418-421, Jstor.  
  69. The Radial Heat Equation and Laplace Transforms  
    Louis R. Bragg  
    SIAM Journal on Applied Mathematics, Vol. 14, No. 5. (Sep., 1966), pp. 986-993, Jstor.  
  70. A Characterization of the Inverse Laplace Transforms of Rational Positive-Real Matrices  
    A. H. Zemanian  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 13, No. 2. (Jun., 1965), pp. 463-468, Jstor.  
  71. Necessary and Sufficient Conditions for a Matrix Distribution to have a Positive-Real Laplace Transform  
    Heinz Konig; Armen H. Zemanian  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 13, No. 4. (Dec., 1965), pp. 1036-1040, Jstor.  
  72. A Class of Expansions of G-Functions and the Laplace Transform (in Technical Notes and Short Papers)  
    Arun Verma  
    Mathematics of Computation, Vol. 19, No. 92. (Oct., 1965), pp. 664-666, Jstor.  
  73. Laplace Transforms and Canonical Matrices  
    Harry Hochstadt  
    The American Mathematical Monthly, Vol. 71, No. 7. (Aug. - Sep., 1964), pp. 728-736, Jstor.  
  74. Inversion of Fourier and Laplace Transforms  
    R. P. Boas, Jr.  
    The American Mathematical Monthly, Vol. 69, No. 10. (Dec., 1962), pp. 955-960, Jstor.  
  75. The Evaluation of Inverse Laplace Transforms Without the Aid of Contour Integration  
    H. Goldenberg  
    SIAM Review, Vol. 4, No. 2. (Apr., 1962), pp. 94-104, Jstor.  
  76. Ordinary Differential Equations and Laplace Transforms  
    Aurel Wintner  
    American Journal of Mathematics, Vol. 79, No. 2. (Apr., 1957), pp. 265-294, Jstor.  
  77. An Inversion of the Laplace and Stieltjes Transforms Utilizing Difference Operators  
    R. S. Pinkham  
    Transactions of the American Mathematical Society, Vol. 83, No. 1. (Sep., 1956), pp. 1-18, Jstor.  
  78. Orthogonal Polynomials Arising in the Numerical Evaluation of Inverse Laplace Transforms  
    Herbert E. Salzer  
    Mathematical Tables and Other Aids to Computation, Vol. 9, No. 52. (Oct., 1955), pp. 164-177, Jstor.  
  79. Applications of a Theorem of O. Szasz for the Product of Cesaro and Laplace Transforms  
    C. T. Rajagopal; Amnon Jakimovski  
    Proceedings of the American Mathematical Society, Vol. 5, No. 3. (Jun., 1954), pp. 370-384, Jstor.  
  80. An Inversion Formula for Laplace Transforms and Semi-Groups of Linear Operators  
    R. S. Phillips  
    The Annals of Mathematics, 2nd Ser., Vol. 59, No. 2. (Mar., 1954), pp. 325-356, Jstor.  
  81. Laplace Transform of (erf t^1/2)^2 (in Mathematical Notes)  
    I. Opatowski   
    The American Mathematical Monthly, Vol. 59, No. 6. (Jun. - Jul., 1952), p. 392, Jstor.  
  82. Problems solved and unsolved in the theory of the Laplace transform. (Spanish)  
    Doetsch, Gustav
    Rev. Acad. Ci. Madrid  46,  (1952). 125--136. (Reviewer: I. I. Hirschman, Jr.) 42.4X
  83. Linear Differential Equations with Almost Periodic or Laplace Transform Coefficients  
    Calvin R. Putnam; Aurel Wintner  
    American Journal of Mathematics, Vol. 73, No. 4. (Oct., 1951), pp. 792-806, Jstor.  
  84. On the Small Divisors in Integrations by Laplace Transforms  
    Aurel Wintner   
    American Journal of Mathematics, Vol. 73, No. 1. (Jan., 1951), pp. 173-180, Jstor.  
  85. A Symbolic Form of the Classical Complex Inversion Formula for a Laplace Transform (in Mathematical Notes)  
    D. V. Widder  
    The American Mathematical Monthly, Vol. 58, No. 3. (Mar., 1951), pp. 179-181, Jstor.  
  86. Certain Inversion Formulas for the Laplace Transform  
    Dennis B. Ames  
    Proceedings of the American Mathematical Society, Vol. 1, No. 1. (Feb., 1950), pp. 99-106, Jstor.  
  87. The Inversion of the Laplace Transformation  
    A. Erdelyi  
    Mathematics Magazine, Vol. 24, No. 1. (Sep. - Oct., 1950), pp. 1-6, Jstor.  
  88. A Symbolic Form of an Inversion Formula for a Laplace Transform (in Mathematical Notes)  
    D. V. Widder  
    The American Mathematical Monthly, Vol. 55, No. 8. (Oct., 1948), pp. 489-491, Jstor.  
  89. A Note on Laplace Transforms of Functions Whose Spectra are Confined to a Given Set  
    E. K. Haviland  
    American Journal of Mathematics, Vol. 69, No. 2. (Apr., 1947), pp. 279-285, Jstor.  
  90. Elementary Evaluation of Laplace Transforms  
    D. E. Richmond  
    The American Mathematical Monthly, Vol. 52, No. 9. (Nov., 1945), pp. 481-487, Jstor.  
  91. What is the Laplace Transform?  
    D. V. Widder  
    The American Mathematical Monthly, Vol. 52, No. 8. (Oct., 1945), pp. 419-425, Jstor.  
  92. Bounded Laplace Transforms  
    N. N. Royall Jr.  
    The American Mathematical Monthly, Vol. 49, No. 9. (Nov., 1942), pp. 600-604, Jstor.  
  93. Conjugate Systems of Curves on a Surface Both of Whose Laplace Transforms are Lines of Curvature  
    J. M. Stetson  
    The Annals of Mathematics, 2nd Ser., Vol. 19, No. 2. (Dec., 1917), pp. 106-126, Jstor.  

 

 

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