Relevant bibliographies by topics / Inverse Laplace transform

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  1. Journal articles
  2. Dissertations / Theses
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Academic literature on the topic 'Inverse Laplace transform'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Inverse Laplace transform"

1

Ruehr, O. G., and W. R. Young. "An Inverse Laplace Transform." SIAM Review 30, no. 4 (1988): 652. http://dx.doi.org/10.1137/1030146.

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Clarkson, M. "MACSYMS's inverse Laplace transform." ACM SIGSAM Bulletin 23, no. 1 (1989): 33–38. http://dx.doi.org/10.1145/66062.66066.

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Hernández-Galeana, A. "On the Inverse Laplace Transform." Kathmandu University Journal of Science, Engineering and Technology 9, no. 1 (2013): 161–64. http://dx.doi.org/10.3126/kuset.v9i1.63856.

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Kamran, Farman Ali Shah, Wael Hosny Fouad Aly, Hasan Aksoy, Fahad M. Alotaibi, and Ibrahim Mahariq. "Numerical Inverse Laplace Transform Methods for Advection-Diffusion Problems." Symmetry 14, no. 12 (2022): 2544. http://dx.doi.org/10.3390/sym14122544.

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Partial differential equations arising in engineering and other sciences describe nature adequately in terms of symmetry properties. This article develops a numerical method based on the Laplace transform and the numerical inverse Laplace transform for numerical modeling of diffusion problems. This method transforms the time-dependent problem to a corresponding time-independent inhomogeneous problem by employing the Laplace transform. Then a local radial basis functions method is employed to solve the transformed problem in the Laplace domain. The main feature of the local radial basis functio
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González-Santander, Juan Luis, and Alexander Apelblat. "A Note on Some Novel Laplace and Stieltjes Transforms Associated with the Relaxation Modulus of the Andrade Model." Axioms 13, no. 9 (2024): 647. http://dx.doi.org/10.3390/axioms13090647.

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In the framework of linear viscoelasticity, the authors have previously calculated a novel inverse Laplace transform involving the Mittag–Leffler function in order to calculate the relaxation modulus in the Andrade model. Here, we generalize this result, calculating the inverse Laplace transform of a given function Fα,βs by using two different approaches: the Bromwich integral and the decomposition of Fα,βs in simple fractions. From both calculations, we obtain a set of novel Laplace and Stieltjes transforms.
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Kamran, Sharif Ullah Khan, Salma Haque, and Nabil Mlaiki. "On the Approximation of Fractional-Order Differential Equations Using Laplace Transform and Weeks Method." Symmetry 15, no. 6 (2023): 1214. http://dx.doi.org/10.3390/sym15061214.

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Differential equations of fractional order arising in engineering and other sciences describe nature sufficiently in terms of symmetry properties. In this article, a numerical method based on Laplace transform and numerical inverse Laplace transform for the numerical modeling of differential equations of fractional order is developed. The analytic inversion can be very difficult for complex forms of the transform function. Therefore, numerical methods are used for the inversion of the Laplace transform. In general, the numerical inverse Laplace transform is an ill-posed problem. This difficult
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Baumann, Gerd. "Sinc Based Inverse Laplace Transforms, Mittag-Leffler Functions and Their Approximation for Fractional Calculus." Fractal and Fractional 5, no. 2 (2021): 43. http://dx.doi.org/10.3390/fractalfract5020043.

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We shall discuss three methods of inverse Laplace transforms. A Sinc-Thiele approximation, a pure Sinc, and a Sinc-Gaussian based method. The two last Sinc related methods are exact methods of inverse Laplace transforms which allow us a numerical approximation using Sinc methods. The inverse Laplace transform converges exponentially and does not use Bromwich contours for computations. We apply the three methods to Mittag-Leffler functions incorporating one, two, and three parameters. The three parameter Mittag-Leffler function represents Prabhakar’s function. The exact Sinc methods are used to
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Sharma, M. D., and S. Nain. "Numerical evaluation of inverse integral transforms: Dynamic response of elastic materials." International Journal of Engineering, Science and Technology 12, no. 2 (2020): 29–34. http://dx.doi.org/10.4314/ijest.v12i2.4.

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This study discusses the use of numerical integration in evaluating the improper integrals appearing as inverse integral transforms of non-analytic functions. These transforms appear while studying the response of various sources in an elastic medium through integral transform method. In these studies, the inverse Fourier transforms are solved numerically without bothering about the singularities and branch points in the corresponding integrands. References on numerical integration cited in relevant papers do not support such an evaluation but suggest contrary. Approximation of inverse Laplace
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Biswas, T., and Satish D. Joglekar. "Inverse Laplace transform and perturbation theory." Journal of Mathematical Physics 40, no. 1 (1999): 369–82. http://dx.doi.org/10.1063/1.532788.

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Pintarelli, Dra María B. "Solution of a system of differential equations with constant coefficients using in-verse moments problem techniques." International Journal of Applied Mathematical Research 7, no. 3 (2019): 71. http://dx.doi.org/10.14419/ijamr.v7i3.12550.

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It is known that given a system of simultaneous linear differential equations with constant coefficients you can apply the Laplace method to solve it. The Laplace transforms are found and the problem is reduced to the resolution of an algebraic system of equations of the determining functions, and applying the inverse transformation the generating functions are determined, solutions of the given system. This implies the need to know the analytical form of the inverse transform of the function. In this case the initial conditions consist in knowing the value that the generating function and its
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Dissertations / Theses on the topic "Inverse Laplace transform"

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Corcoran, Joseph Michael. "An Energy Diffusion Model for Interior Acoustics with Structural Coupling Using the Laplace Transform Boundary Element Solution." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/51793.

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Knowledge of the indoor propagation of sound has many important applications including acoustic prediction in homes, office buildings, stores, and schools, and the design of concert halls, auditoriums, classrooms, and factories. At low frequencies, interior acoustics are analyzed with the wave equation, but significant computational expense imposes an upper frequency limit. Thus, energy methods are often sought for high frequency analysis. However, conventional energy methods are significantly limited by vast simplifications or computational costs. Therefore, new improvements are still being s
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d\'Eurydice, Marcel Nogueira. "Desenvolvimento de metodologias para o estudo de meios porosos por ressonância magnética nuclear." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/76/76132/tde-30082011-084023/.

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O presente trabalho teve como objetivo a implementação de técnicas de Ressonância Magnética Nuclear (RMN) para o estudo de meios porosos em geral, com potenciais aplicações no estudo de rochas, ossos, polímeros e materiais cerâmicos porosos. Devido à heterogeneidade e à complexidade desses meios, torna-se importante correlacionar variados parâmetros físicos que contenham informações tanto sobre a dinâmica molecular quanto sobre a estrutura físico-química dos poros e dos fluidos que os permeiam. Utilizando técnicas de RMN, é possível investigar esses parâmetros através da medida dos coeficiente
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Costa, Sandra Cristina. "Condutividade e movimento de carga espacial em amostras desordenadas." Universidade de São Paulo, 2000. http://www.teses.usp.br/teses/disponiveis/76/76132/tde-09042008-135129/.

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Na condução por saltos dispersiva, os portadores de carga são caracterizados por tempos de residência não exponenciais. Como uma conseqüência, efeitos hereditários aparecem e o problema deve ser conduzido no espaçõ de Laplace. Distribuições dielétricas conhecidas e algumas outras foram usadas como possíveis funções capazes de descrever o meio desordenado. Um estudo cuidadoso de seus espectros de freqüência foi realizado. O método de inversão de Widder truncado foi desenvolvido para possibilitar a volta do espaço de Laplace para o do tempo real. Dois tipos de problemas práticos foram abordados:
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Baydoun, Ibrahim. "Transport laplacien, problème inverse et opérateurs de Dirichlet-Neumann." Thesis, Aix-Marseille 2, 2011. http://www.theses.fr/2011AIX22094.

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Le travail de ma thèse est basé sur ces 4 points :i) Transport laplacien d'une cellule absorbante :Soit un certain espèce (cellule) de concentration C(x), qui diffuse dans un milieu homogène et isotrope à partir d'une lointaine source localisée sur la frontière fermée $partial Omega_{0}$ vers une interface compact semi-perméable $partial Omega$ (membrane de la "cellule") à laquelle elle disparaisse àun taux d'absorption donné : W>=0. La concentration C (transport laplacien avec un coefficient de diffusion D) satisfaite le problème (P1) (voir la thèse). On s'intéresse à résoudre le problème
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Moraes, Tiago Bueno de. "Precessão Livre no Estado Estacionário com alternância de fase para RMN em alta e baixa resolução." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/76/76132/tde-14102016-091634/.

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A aplicação de uma sequência de pulsos com tempo de repetição muito menor que os tempos de relaxação Tp << T2; T1, faz com que a magnetização atinja um estado estacionário descrito por H.Y. Carr como Estado Estacionário em Precessão Livre, Steady State Free Precession (SSFP). Nessa condição, o sinal é composto pela complexa sobreposição das componentes FID e eco. Sequências tipo SSFP são utilizadas na aquisição rápida de sinais, resultando em uma boa razão sinal ruído (s/r) em curto intervalo de tempo, porém introduzem fortes anomalias de fase e amplitude devido a complexa interação das compon
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SILVA, Fernanda clara de França. "Existência de solução para algumas equações de evolução via Teoria de semigrupo analítico." Universidade Federal de Campina Grande, 2007. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1192.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-17T18:11:25Z No. of bitstreams: 1 FERNANDA CLARA DE FRANÇA SILVA - DISSERTAÇÃO PPGMAT 2007..pdf: 1721266 bytes, checksum: 8fe11d5b6d0c4698bb44035e0066f16a (MD5)<br>Made available in DSpace on 2018-07-17T18:11:25Z (GMT). No. of bitstreams: 1 FERNANDA CLARA DE FRANÇA SILVA - DISSERTAÇÃO PPGMAT 2007..pdf: 1721266 bytes, checksum: 8fe11d5b6d0c4698bb44035e0066f16a (MD5) Previous issue date: 2007-12<br>CNPq<br>Capes<br>Neste trabalho, apresentamos uma introdução à Teoria de semigrupos analíticos de operadores lineares não limi
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Sudler, Glenn F. "Asian Options: Inverse Laplace Transforms and Martingale Methods Revisited." Thesis, Virginia Tech, 1999. http://hdl.handle.net/10919/34300.

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Arithmetic Asian options are difficult to price and hedge, since, at the present, no closed-form analytical solution exists to price them. This difficulty, moreover, has led to the development of various methods and models used to price these instruments. The purpose of this thesis is two-fold. First, we present an overview of the literature. Secondly, we develop a pseudo-analytical method proposed by Geman and Yor and present an accurate and relatively quick algorithm which can be used to price European-style arithmetic Asian options and their hedge parameters.<br>Master of Science
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Cain, Jonathan Aaron. "Parallelization of the Dempster-Shafer Application to Talbot's Method for Numerical Inverse Laplace Transforms." Thesis, The University of Arizona, 2011. http://hdl.handle.net/10150/144252.

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Baughman, Jessi Alan. "Solid-State NMR Characterization of Polymeric and Inorganic Materials." University of Akron / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=akron1428198096.

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Uçar, Eren. "Spectral invariants for polygons and orbisurfaces." Doctoral thesis, Humboldt-Universität zu Berlin, 2017. http://dx.doi.org/10.18452/18463.

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In dieser Arbeit beschäftigen wir uns mit Spektralinvarianten von Polygonen und geschlossenen Orbiflächen konstanter Gaußkrümmung. Unsere Methode ist es jeweils den Wärmeleitungskern und die asymptotische Entwicklung der Wärmespur zu untersuchen. Als erstes untersuchen wir hyperbolische Polygone, d.h. relativ kompakte Gebiete in der hyperbolischen Ebene mit stückweise geodätischem Rand. Wir berechnen die asymptotische Entwicklung der Wärmespur bezüglich des Dirichlet-Laplace Operators eines beliebigen hyperbolischen Polygons, und wir erhalten explizite Formeln für alle Wärmeinvarianten. Analog
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Books on the topic "Inverse Laplace transform"

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Inverse Laplace Transform of an Exponential Function. Creative Media Partners, LLC, 2022.

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The Inverse Laplace Transform of an Exponential Function. Franklin Classics, 2018.

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Ragab, F. M. The Inverse Laplace Transform of an Exponential Function. Franklin Classics Trade Press, 2018.

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Ragab, F. M. The Inverse Laplace Transform of an Exponential Function. Franklin Classics, 2018.

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Epstein, Charles L., and Rafe Mazzeo. The Resolvent Operator. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0011.

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This chapter describes the construction of a resolvent operator using the Laplace transform of a parametrix for the heat kernel and a perturbative argument. In the equation (μ‎-L) R(μ‎) f = f, R(μ‎) is a right inverse for (μ‎-L). In Hölder spaces, these are the natural elliptic estimates for generalized Kimura diffusions. The chapter first constructs the resolvent kernel using an induction over the maximal codimension of bP, and proves various estimates on it, along with corresponding estimates for the solution operator for the homogeneous Cauchy problem. It then considers holomorphic semi-gro
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Marichev, O. I., Yu A. Brychkov, and A. P. Prudnikov. Integrals and Series: Inverse Laplace Transforms (Integrals & Series). 5th ed. CRC Press, 1992.

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Book chapters on the topic "Inverse Laplace transform"

1

Sayood, Khalid. "The Inverse Laplace Transform." In Signals and Systems. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-031-02545-7_22.

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Tuan, Vu Kim, A. Boumenir, and Dinh Thanh Duc. "Real Variable Inverse Laplace Transform." In Trends in Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-02650-9_15.

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Badrieh, Fuad. "Finding Inverse Laplace Transform via Partial Fractions." In Spectral, Convolution and Numerical Techniques in Circuit Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71437-0_18.

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Badrieh, Fuad. "Using Complex Integration to Figure Inverse Laplace Transform." In Spectral, Convolution and Numerical Techniques in Circuit Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71437-0_15.

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Balcou, Yves. "Application of an Inverse Laplace Transform Method to Analysis of Decaying Transients." In 25th Congress Ampere on Magnetic Resonance and Related Phenomena. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-76072-3_222.

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Nair, Satish M., and James H. Rose. "A Laplace Transform Based Inverse Method for Flaw Characterization by Eddy Currents." In Review of Progress in Quantitative Nondestructive Evaluation. Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0817-1_40.

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Mnatsakanov, Robert, and Omar Purtukhia. "Approximations for Estimating Some Options Using the Inverse of the Laplace Transform." In Modern Optimization Methods for Decision Making Under Risk and Uncertainty. CRC Press, 2023. http://dx.doi.org/10.1201/9781003260196-7.

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Borodin, Andrei N., and Paavo Salminen. "Inverse Laplace Transforms." In Handbook of Brownian Motion — Facts and Formulae. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8163-0_19.

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Bird, John. "Inverse Laplace transforms." In Bird's Higher Engineering Mathematics, 9th ed. Routledge, 2021. http://dx.doi.org/10.1201/9781003124221-56.

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Harata, A., and T. Sawada. "Photoacoustic Quantitative Depth Profiling of an Ion-Pair Adsorbed Polyvinylchloride Film Using an Approximation of the Inverse Laplace Transform." In Photoacoustic and Photothermal Phenomena II. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-540-46972-8_14.

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Conference papers on the topic "Inverse Laplace transform"

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Watanabe, Koki. "Study on Improvement of the Fast Inverse Laplace Transform for Transient Analyses." In 2024 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2024. http://dx.doi.org/10.1109/iceaa61917.2024.10701833.

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Macdonald, Digby D., Mirna Urquidi-Macdonald, and Pai-Chuan Lu. "The Coupled Environmental Fracture Model - a Deterministic Method for Calculating Crack Growth Rates." In CORROSION 1994. NACE International, 1994. https://doi.org/10.5006/c1994-94246.

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Abstract Our previously described coupled environment fracture model (CEFM) for intergranular stress corrosion cracking (IGSCC) and irradiation-assisted stress corrosion cracking (IASCC) in light water reactor heat transport circuit components has been extended to consider steel corrosion, the oxidation of hydrogen, and the reduction of hydrogen peroxide, in addition to the reduction of oxygen (as in the original CEFM), as charge transfer reactions occurring on the external surfaces. Additionally, we have incorporated several theoretical approaches to estimate the crack tip strain rate. The ke
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Wei, Yiheng, YangQuan Chen, Yuquan Chen, and Yong Wang. "Analytical calculation of the inverse nabla Laplace transform." In 2020 Chinese Control And Decision Conference (CCDC). IEEE, 2020. http://dx.doi.org/10.1109/ccdc49329.2020.9164572.

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Trinchero, Riccardo, Igor S. Stievano, and Flavio G. Canavero. "Simulation of buck converters via numerical inverse Laplace transform." In 2017 IEEE 21st Workshop on Signal and Power Integrity (SPI). IEEE, 2017. http://dx.doi.org/10.1109/sapiw.2017.7944017.

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R-Smith, N. Al-Zubaidi, and L. Brancik. "Convergence acceleration techniques for proposed numerical inverse Laplace transform method." In 2016 24th Telecommunications Forum (TELFOR). IEEE, 2016. http://dx.doi.org/10.1109/telfor.2016.7818817.

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Adams, Jay L., Robert J. Veillette, Tom T. Hartley, and Lynn I. Adams. "Restrictions on the inverse Laplace transform for fractional-order systems." In 2014 International Conference on Fractional Differentiation and its Applications (ICFDA). IEEE, 2014. http://dx.doi.org/10.1109/icfda.2014.6967367.

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Kishimoto, Seiya, and Shinichiro Ohnuki. "Analysis of Specific Energy Loss by Fast Inverse Laplace Transform." In 2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting (AT-AP-RASC). IEEE, 2022. http://dx.doi.org/10.23919/at-ap-rasc54737.2022.9814294.

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Watanabe, Koki. "A Study on Fast Inverse Laplace Transform for Transient Analysis." In 2023 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2023. http://dx.doi.org/10.1109/iceaa57318.2023.10297922.

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Nandkeolyar, R., P. Sibanda, and Md S. Ansari. "Unsteady Hydromagnetic Radiative Flow of a Dusty Fluid Past a Porous Plate With Ramped Wall Temperature." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-66699.

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The combined effects of applied magnetic field, thermal radiation and suction on the flow and free convective heat transfer of a viscous, incompressible, electrically conducting dusty fluid past a flat plate with ramped temperature are studied. The governing partial differential equations for momentum and energy transfers, for both the fluid and particle phases, are solved using Laplace transform technique. The inverse Laplace transform is obtained numerically using Matlab. A comparison of Numerical solution and analytical solution for energy transfer is made which shows an excellent agreement
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Meganathan, M., and G. Britto Antony Xavier. "Fractional order alpha Laplace and extorial transform by inverse difference operator." In SECOND INTERNATIONAL CONFERENCE OF MATHEMATICS (SICME2019). Author(s), 2019. http://dx.doi.org/10.1063/1.5097527.

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