Relevant bibliographies by topics / Single Laplace Transform

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Single Laplace Transform'

Author: Grafiati
Published: 5 June 2025
Last updated: 2 August 2025

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Journal articles on the topic "Single Laplace Transform"

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Shindo, Yasuhide, Hiroaki Higaki, and Hideaki Nozaki. "Impact Response of a Single Edge Crack in an Orthotropic Strip." Journal of Applied Mechanics 59, no. 2S (1992): S152—S157. http://dx.doi.org/10.1115/1.2899480.

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The elastodynamic response of a single edge crack in an orthotropic strip under normal impact is considered in this study. The edge crack is oriented in a direction normal to the edge of the strip. Laplace and Fourier transforms are used to reduce the transient problem to the solution of a pair of dual integral equations in the Laplace transform plane. The solution to the dual integral equations is then expressed in terms of a Fredholm integral equation of the second kind. A numerical Laplace inversion routine is used to recover the time dependence of the solution. Numerical values on the dyna
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Heyd, Rodolphe. "Numerical Solution of Linear Second-Kind Convolution Volterra Integral Equations Using the First-Order Recursive Filters Method." Mathematics 12, no. 15 (2024): 2416. http://dx.doi.org/10.3390/math12152416.

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A new numerical method for solving Volterra linear convolution integral equations (CVIEs) of the second kind is presented in this work. This new approach uses first-order infinite impulse response digital filters method (IIRFM). Three convolutive kernels were analyzed, the unit kernel and two singular kernels: the logarithmic and generalized Abel kernels. The IIRFM is based on the combined use of the Laplace transformation, a first-order decomposition, and a bilinear transformation. This approach often leads to simple analytical expressions of the approximate solutions, enabling efficient nume
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Li, Xian-Fang. "Dynamic T-Stress for a Mode-I Crack in an Infinite Elastic Plane." Journal of Applied Mechanics 74, no. 2 (2006): 378–81. http://dx.doi.org/10.1115/1.2190232.

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An integral equation method is presented to determine dynamic elastic T-stress. Special attention is paid to a single crack in an infinite elastic plane subjected to impact loading. By using the Laplace and Fourier transforms, the associated initial-boundary value problem is transformed to a Fredholm integral equation. The dynamic T-stress in the Laplace transform domain can be expressed in terms of its solution. Moreover, an explicit expression for initial T-stress is derived in closed form. Numerically solving the resulting equation and performing the inverse Laplace transform, the transient
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Harrison, P. G., and E. Pitel. "Sojourn times in single-server queues by negative customers." Journal of Applied Probability 30, no. 4 (1993): 943–63. http://dx.doi.org/10.2307/3214524.

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We derive expressions for the Laplace transform of the sojourn time density in a single-server queue with exponential service times and independent Poisson arrival streams of both ordinary, positive customers and negative customers which eliminate a positive customer if present. We compare first-come first-served and last-come first-served queueing disciplines for the positive customers, combined with elimination of the last customer in the queue or the customer in service by a negative customer. We also derive the corresponding result for processor-sharing discipline with random elimination.
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Harrison, P. G., and E. Pitel. "Sojourn times in single-server queues by negative customers." Journal of Applied Probability 30, no. 04 (1993): 943–63. http://dx.doi.org/10.1017/s0021900200044685.

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We derive expressions for the Laplace transform of the sojourn time density in a single-server queue with exponential service times and independent Poisson arrival streams of both ordinary, positive customers and negative customers which eliminate a positive customer if present. We compare first-come first-served and last-come first-served queueing disciplines for the positive customers, combined with elimination of the last customer in the queue or the customer in service by a negative customer. We also derive the corresponding result for processor-sharing discipline with random elimination.
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Dan-Isa, Ado, and D. P. Atherton. "A Computational Method for Obtaining the z-Transform from the s-Transform." Transactions of the Institute of Measurement and Control 17, no. 3 (1995): 107–11. http://dx.doi.org/10.1177/014233129501700301.

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This paper presents a method for the numerical determination of the z-transform and the modified z-transform of a proper rational function expressed in the Laplace transform complex variables. The method is easy to implement on a computer using any high-level language and does not necessarily require the poles of the s-domain function to be found. The method is equally applicable to single-loop and multi-loop systems.
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MAZLOOMZADEH, M., and A. SABOONCHI. "DEVELOPING ANALYTICAL MODELS OF PREDICTING SKIN TEMPERATURE AND DAMAGE EXTENT FROM SINGLE-LAYER INTO MULTI-LAYER ONES." Journal of Mechanics in Medicine and Biology 16, no. 07 (2016): 1650100. http://dx.doi.org/10.1142/s0219519416501001.

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As a starting point for developing analytical models of predicting skin temperature and damage extent into multi-layer ones, a double-layer model consisting of two distinguished and attached layers is considered: a tissue layer containing blood vessels and a tissue layer containing no blood vessels. The Pennes model is applied for the tissue containing blood vessels. Applying the Laplace transform, then the inversion theorem for Laplace transforms and the Cauchy residue theorem, the desired skin temperature function is obtained. Applying the temperature function in a damage model, the severity
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Zou, Wan Jie, Chuan Gao Li, and Yun Xia Zhang. "The Random Response of a Single Degree of Freedom Generalized Maxwell Damping Structure." Applied Mechanics and Materials 744-746 (March 2015): 1648–53. http://dx.doi.org/10.4028/www.scientific.net/amm.744-746.1648.

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Using the model of stationary white noise excitation, defining the exact analytic method of random response and nearer value of earthquake action about single degree of freedom generalized Maxwell damping, firstly transform the motion equation into standard form, with the Laplace transform and Inverse Laplace transform method, obtained the exact analytical formula of structural response, calculate the response variance by the complex modal method and frequency domain decomposition and make comparisons, The response variance decomposition for the first standard vibrator and second order of the
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Chen, W. H., C. L. Chang, and C. H. Tsai. "Elastodynamic Fracture Analysis of Multiple Cracks by Laplace Finite Element Alternating Method." Journal of Applied Mechanics 67, no. 3 (1999): 606–15. http://dx.doi.org/10.1115/1.1311277.

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The Laplace finite element alternating method, which combines the Laplace transform technique and the finite element alternating method, is developed to deal with the elastodynamic analysis of a finite plate with multiple cracks. By the Laplace transform technique, the complicated elastodynamic fracture problem is first transformed into an equivalent static fracture problem in the Laplace transform domain and then solved by the finite element alternating method developed. To do this, an analytical solution by Tsai and Ma for an infinite plate with a semi-infinite crack subjected to exponential
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Avram, F., and M. Usábel. "Ruin Probabilities and Deficit for the Renewal Risk Model with Phase-type Interarrival Times." ASTIN Bulletin 34, no. 02 (2004): 315–32. http://dx.doi.org/10.2143/ast.34.2.505146.

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This paper shows how the multivariate finite time ruin probability function, in a phase-type environment, inherits the phase-type structure and can be efficiently approximated with only one Laplace transform inversion. From a theoretical point of view, we also provide below a generalization of Thorin’s formula (1971) for the double Laplace transform of the finite time ruin probability, by considering also the deficit at ruin; the model is that of a Sparre Andersen (renewal) risk process with phase-type interarrival times. In the case when the claims distribution is of phase-type as well, we ob
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Dissertations / Theses on the topic "Single Laplace Transform"

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Xu, Yangyi. "Frequentist-Bayesian Hybrid Tests in Semi-parametric and Non-parametric Models with Low/High-Dimensional Covariate." Diss., Virginia Tech, 2014. http://hdl.handle.net/10919/71285.

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We provide a Frequentist-Bayesian hybrid test statistic in this dissertation for two testing problems. The first one is to design a test for the significant differences between non-parametric functions and the second one is to design a test allowing any departure of predictors of high dimensional X from constant. The implementation is also given in construction of the proposal test statistics for both problems. For the first testing problem, we consider the statistical difference among massive outcomes or signals to be of interest in many diverse fields including neurophysiology, imaging, e
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Murthy, MVVS. "Wave Transmission Characteristics in Honeycomb Sandwich Structures using the Spectral Finite Element Method." Thesis, 2014. http://etd.iisc.ac.in/handle/2005/2901.

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Wave propagation is a phenomenon resulting from high transient loadings where the duration of the load is in µ seconds range. In aerospace and space craft industries it is important to gain knowledge about the high frequency characteristics as it aids in structural health monitoring, wave transmission/attenuation for vibration and noise level reduction. The wave propagation problem can be approached by the conventional Finite Element Method(FEM); but at higher frequencies, the wavelengths being small, the size of the finite element is reduced to capture the response behavior accurately and thu
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Murthy, MVVS. "Wave Transmission Characteristics in Honeycomb Sandwich Structures using the Spectral Finite Element Method." Thesis, 2014. http://hdl.handle.net/2005/2901.

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Wave propagation is a phenomenon resulting from high transient loadings where the duration of the load is in µ seconds range. In aerospace and space craft industries it is important to gain knowledge about the high frequency characteristics as it aids in structural health monitoring, wave transmission/attenuation for vibration and noise level reduction. The wave propagation problem can be approached by the conventional Finite Element Method(FEM); but at higher frequencies, the wavelengths being small, the size of the finite element is reduced to capture the response behavior accurately and thu
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Chen, Yu-Lin, and 陳裕霖. "A general analytical solution for flow to a single horizontal well by Fourier and Laplace transforms." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/17388773708584588889.

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碩士<br>國立交通大學<br>環境工程系所<br>99<br>This thesis develops a mathematical model for describing the head distribution in an unconfined aquifer with a single pumping horizontal well parallel to a fully penetrating stream. The upper boundary of the aquifer is represented by a free water surface equation in which the second-order differential terms are neglected. The Laplace-domain solution of the model is developed by applying Fourier sine, Fourier and Laplace transforms to the governing equation as well as the associated initial and boundary conditions. The time-domain solution is obtained after takin
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Books on the topic "Single Laplace Transform"

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Kraft, L. Alan. Modelling a single phase voltage controlled rectifier using Laplace transforms. National Aeronautics and Space Administration, 1992.

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Book chapters on the topic "Single Laplace Transform"

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Duffy, Dean. "Methods Involving Single-Valued Laplace Transforms." In Transform Methods for Solving Partial Differential Equations, Second Edition. Chapman and Hall/CRC, 2004. http://dx.doi.org/10.1201/9781420035148.ch2.

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Bers, Abraham. "Mathematical Appendices." In Plasma Physics and Fusion Plasma Electrodynamics. Oxford University PressOxford, 2016. http://dx.doi.org/10.1093/acprof:oso/9780199295784.003.0033.

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Abstract This concluding chapter addresses accounting for the remaining single-charged particle fields in a plasma, which are neglected in a fluid kinetic description: those associated with radiations and fluctuations. These cover topics such as complex Fourier–Laplace transforms, Bessel functions, and the Jacobi elliptic functions. It also contains summaries of various applied mathematics topics and techniques that are used throughout the text. References are also given to textbooks that cover the topics at the end of each section. Students are expected to have had an exposure to these topics
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van der Weide Hans and Pandey Mahesh D. "A discussion about historical developments in stochastic modeling of wear." In Risk and Decision Analysis in Maintenance Optimization and Flood Management. IOS Press, 2009. https://doi.org/10.3233/978-1-60750-522-8-159.

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In this paper we study models for cumulative damage of a component caused by shocks occurring randomly in time, following a historical approach. The damage caused by a shock, is also of random nature. A very well-known model is the compound renewal process, with the compound Poisson process as a special case. These models play an important role in maintenance analysis and cost calculations. In these models the times at which shocks occur and the damage caused by the shock are assumed to be independent. But very often this is not realistic, the damage will depend on the time since the last shoc
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Päläs, Jenna, Kati Rahikainen, and Maria Hakkarainen. "Competing Interests and the Reconstruction of Positions of Responsibility in Finnish Lapland." In Advances in Hospitality, Tourism, and the Services Industry. IGI Global, 2024. http://dx.doi.org/10.4018/979-8-3693-6050-7.ch002.

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While reshaping the operational environment of tourism, short-term renting (STR) has also transformed Finnish Lapland into a battle arena for the struggle of competing interests. Since the current law on STR is perceived as an ambiguous grey zone, influencing the law has become a central means for the different stakeholders to legitimize their interests as legally acceptable conduct and objectives. This chapter provides a legal perspective into the process of institutionalization of interests by examining the constitutive interrelation of law and society. By combining an empirical understandin
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Conference papers on the topic "Single Laplace Transform"

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Hartley, Tom T., and Carl F. Lorenzo. "The Initialization Response of Multi-Term Linear Fractional-Order Systems With Constant History Functions." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48016.

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In this paper, the distinction between an operator’s historical initial condition function, the consequential initialization function of the operator, and the resulting initialization response of an entire system, is discussed. The single term and two-term differential equation results with constant history functions from earlier studies are reviewed. A three-term linear fractional-order differential equation with constant history function is studied next. This system is solved by using the proper Laplace transforms for the fractional-order derivatives. The paper then presents the initializati
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Pesquera, L., J. M. Noriega, and M. A. Rodríguez. "Decay of the Intensity Correlation Function for Dye Lasers with White Gain Noise." In Nonlinear Dynamics in Optical Systems. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/nldos.1990.ndd433.

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We consider a single-mode dye laser model incorporating pump white noise through gain-parameter fluctuations. The relaxation function C(t) is analyzed with the use of a method based on the combination of the low and high frequency expansions of the Laplace transform of C(t). The correlation function is approximated by a superposition of two decaying exponentials. It is found that the intensity correlation function does not show two separated time scales as observed experimentally.
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Strąkowska, maria, gilbert De Mey, and boguslaw Wiecek. "Experimental verification of non-Fourier heat transfer in a multilayer skin tissue structure by IR temperature measurement." In 16th Quantitative InfraRed Thermography conference. QIRT Council, 2022. http://dx.doi.org/10.21611/qirt.2022.1023.

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The paper presents experimental verification of the Dual-Phase-Lag (DPL) heat transfer model of a skin tissue. The simulation for Fourier- Kirchhoff and the DPL thermal models was performed for the same set of the parameters. These models were solved analytically in frequency domain using the Laplace transform. The non-Fourier heat transfer should be considered in a tissue as it is a multilayer structure where the perfusion plays an important role in heat transfer. The DPL effect can be visualize in the high frequency range of the Nyquist plot of thermal impedance. Because of that the experime
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Kumar, Pavan, Albert Segall, and Corina Drapaca. "Evolution of Thermoelastic Stresses in a Finite-Width Slab or Thick Cylinder With a Growing or Receding Boundary." In ASME 2024 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/pvp2024-123419.

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Abstract Semi-analytical thermoelastic stress solutions for a single phase, homogeneous, and finite-width slab or thick cylinder with a constant-velocity growing or receding boundary under Unit-Loading were derived. Initially, a semi-analytical solution for the heat equation for a slab with a growing or receding boundary was derived in the Laplace domain and a series representation then used to approximate the inverse Laplace transformin the time domain. Conformal mapping was then used to transform the slab solution to an annulus. The resulting semi-analytical solutions were then used with est
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Labko, V. I., V. V. Nikitin, G. L. Nikolaenko, and I. K. Yudin. "Hardware and Software of Single-Board Correlators." In Photon Correlation and Scattering. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/pcs.1992.tub6.

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A multi-channel real-time correlator is the most important unit of a photon correlation spectrometer. Correlator design defines basic possibilities and the cost of spectrometer. Modern level of electronics allows to design single-board correlators, plugged into a standard IBM computer. We have created and now manufacture a number of single-board correlators. Precision correlator (8-bits, 72-216 channels, minimal real sample time 50 ns) includes multiple-tau mode, base-line channels, cut of dust mode. It is based on specific CMOS IC designed on our scheme. We also manufacture several simpler ve
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Hou, Su-xia, Yun Tai, and Fu-yu Zhao. "Analysis of Instability for OTSG by Using Multivariable Frequency Domain Method." In 17th International Conference on Nuclear Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/icone17-75024.

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A new method for analyzing the problem of the thermal-hydrodynamic instability of OTSG (once-through steam generator) with multiple boiling channels is presented in this paper. The mothod is based on modern frequency domain theory and is more efficient for analyzing the instability of OTSG with coupling interactions and complicated boundary conditions than the usually used single variable method. A mathematical model for a OTSG is derived from the foundamental equations by use of the small perturbation and Laplace-transform techniques. The stable boundary and parametric effects on the stabilit
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Erhart, Kevin, Eduardo Divo, and Alain J. Kassab. "A Parallel Domain Decomposition Boundary Element Method Technique for Large-Scale Transient Heat Conduction Problems." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56104.

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In this paper, we develop a parallel domain decomposition Laplace transform BEM algorithm for the solution of transient heat conduction problems. The original domain is decomposed into a number of sub-domains, a procedure is described to provide a good initial guess for the domain interface temperatures, and an iteration is carried out to satisfy continuity of temperature and heat flux at the domain interfaces. The decomposition procedure significantly reduces the size of any single problem to be tackled by the BEM, significantly reduces the overall storage and computational burden, and render
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Pike, E. R. "Singular Function Techniques for Photon Correlation Data Reduction." In Photon Correlation Techniques and Applications. Optica Publishing Group, 1988. http://dx.doi.org/10.1364/pcta.1988.pcmdr2.

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The photon correlation technique has a special feature relating to the accuracy achieved in typical experiments on the data points. With modern sources and detectors experiments are virtually noiseless except for the discrete photon nature of the light itself. This fact has given rise to a special study of the information content of such data, particularly in the case of photon correlation spectroscopy (or PCS) (1) in which light scattering from diffusing macromolecules produces an exponential photon correlation function if a single species or size of particle is present, and a superposition o
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Mehdizadeh, A., S. A. Sherif, and W. E. Lear. "Numerical Simulation of Two-Phase Slug Flows in Microchannels." In ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. ASMEDC, 2009. http://dx.doi.org/10.1115/ht2009-88126.

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In this paper the Navier-stokes equations for a single liquid slug have been solved in order to predict the circulation patterns within the slug. Surface tension effects on the air-water interface have been investigated by solving the Young–Laplace equation. The calculated interface shape has been utilized to define the liquid slug geometry at the front and tail interfaces of the slug. Then the effects of the surface tension on the hydrodynamics of the two-phase slug flow have been compared to those where no surface tension forces exist. The importance of the complex flow field features in the
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Li, Guifang, and Bahaa E. A. Saleh. "Perturbation analysis of photorefractive phase conjugation." In OSA Annual Meeting. Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.tux3.

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Using perturbation theory, we examine the fidelity of the photorefractive degenerate four-wave mixing (DFWM) phase conju- gator when the probe wave is spatially and temporally varying. Previous theories are based on linearized undepleted pump approximation and Laplace transform technique. Fully nonlinear solutions assume a single monochromatic plane wave probe. We have considered instead the more general case in which the probe is spatially varying (a beam) and/or temporally varying (a pulse), and the pumps are allowed to deplete. The probe wave is expanded as a sum of monochromatic plane wave
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