Relevant bibliographies by topics / Fourier’s method

Contents

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

Academic literature on the topic 'Fourier’s method'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Fourier’s method"

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Feli, Saeed, and Maziar M Jalilian. "Theoretical model of low-velocity impact on foam-core sandwich panels using finite difference method." Journal of Sandwich Structures & Materials 19, no. 3 (2016): 261–90. http://dx.doi.org/10.1177/1099636216685316.

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In this article, a three-dimensional solution based on the Fourier’s series and finite difference method has been presented to study the low-velocity impact on sandwich panels with foam core and composite face sheets. The Navier’s equations are derived and displacements are substituted by their corresponding Fourier’s series and three partial differential equations with coefficients of Fourier’s series are obtained. The contact force has been considered as a Fourier’s series of impactor displacement and deflection of top face sheet. Also, the model is verified by experiments performed on sandw
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Suparti, Suparti, Alan Prahutama, Rukun Santoso, and Alvita Rachma Devi. "Spline-Fourier’s Method for Modelling Inflation in Indonesia." E3S Web of Conferences 73 (2018): 13003. http://dx.doi.org/10.1051/e3sconf/20187313003.

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Regression method is a statistical method for modelling dependent variable with independent variable. Nonparametric regression is an approach to regression analysis that is suitable for data that have an unknown curve shape. Modelling by using nonparametric regression method does not require any assumptions. Spline and Fourier methods are some of the estimators in nonparametric regression. The spline method requires optimal knots to obtain the best model. The most commonly used method to determine the optimal knots is Generalized Cross Validation (GCV). The Fourier method is a method based on
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Kanniappan, P., and K. Thangavel. "Modified Fourier’s Method of Solving Linear Programming Problems." OPSEARCH 35, no. 1 (1998): 45–56. http://dx.doi.org/10.1007/bf03398538.

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Khalaj-Amirhosseini, Mohammad. "Design of Nonuniformly Spaced Antenna Arrays Using Fourier’s Coefficients Equating Method." IEEE Transactions on Antennas and Propagation 66, no. 10 (2018): 5326–32. http://dx.doi.org/10.1109/tap.2018.2861981.

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Cao, Binzhao, and Fuyong Xu. "Analysis for New Types of Waveguide with Fourier’s Expansion-Differential Method." International Journal of Infrared and Millimeter Waves 29, no. 3 (2008): 240–48. http://dx.doi.org/10.1007/s10762-008-9326-0.

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Rakhymova, A. T., A. A. Ahmedov, and K. M. Shapen. "Determination of trigonometric Fourier’s series by the method of four-dimensional mathematics." Journal of Physics: Conference Series 1988, no. 1 (2021): 012027. http://dx.doi.org/10.1088/1742-6596/1988/1/012027.

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Lu, Dianchen, and Jie Liu. "Application of the Homotopy Analysis Method for Solving the Variable Coefficient KdV-Burgers Equation." Abstract and Applied Analysis 2014 (2014): 1–4. http://dx.doi.org/10.1155/2014/309420.

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The homotopy analysis method is applied to solve the variable coefficient KdV-Burgers equation. With the aid of generalized elliptic method and Fourier’s transform method, the approximate solutions of double periodic form are obtained. These solutions may be degenerated into the approximate solutions of hyperbolic function form and the approximate solutions of trigonometric function form in the limit cases. The results indicate that this method is efficient for the nonlinear models with the dissipative terms and variable coefficients.
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Khan, Dolat, Musawa Yahya Almusawa, Waleed Hamali, and M. Ali Akbar. "Couple Stress Sodium Alginate-Based Casson Nanofluid Analysis through Fick’s and Fourier’s Laws with Inclined Microchannel." Journal of Function Spaces 2023 (April 19, 2023): 1–11. http://dx.doi.org/10.1155/2023/2824703.

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Casson nanofluid plays a vital role in food industries with sodium alginate nanoparticles. That is why many researchers used Casson nanofluid in their study. Due to this, the main objective of this study is to investigate the inclined microchannel flow of a Casson nanofluid based on sodium alginate (SA) under a few stresses. Because the plate at y = d is stationary and the plate at y = 0 is in motion, the fluid flows. Physically existent things utilize partial differential equations as a method of derivation. By using dimensionless variables, the underlying PDEs are dimensionless. Applying Fou
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Benmessaoud, Youcef, Frédéric Dubas, and Mickael Hilairet. "Combining the Magnetic Equivalent Circuit and Maxwell–Fourier Method for Eddy-Current Loss Calculation." Mathematical and Computational Applications 24, no. 2 (2019): 60. http://dx.doi.org/10.3390/mca24020060.

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In this paper, a hybrid model in Cartesian coordinates combining a two-dimensional (2-D) generic magnetic equivalent circuit (MEC) with a 2-D analytical model based on the Maxwell–Fourier method (i.e., the formal resolution of Maxwell’s equations by using the separation of variables method and the Fourier’s series) is developed. This model coupling has been applied to a U-cored static electromagnetic device. The main objective is to compute the magnetic field behavior in massive conductive parts (e.g., aluminum, magnets, copper, iron) considering the skin effect (i.e., with the eddy-current re
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Aouadi, Moncef, Taoufik Moulahi, and Najmeddine Attia. "Thermoelastic Extensible Timoshenko Beam with Symport Term: Singular Limits, Lack of Differentiability and Optimal Polynomial Decay." Mathematics 13, no. 5 (2025): 854. https://doi.org/10.3390/math13050854.

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In this article, we consider the equations of the nonlinear model of a thermoelastic extensible Timoshenko beam, recently derived by Aouadi in the context of Fourier’s law. The new aspect we propose here is to introduce a second sound model in the temperatures which turns into a Gurtin–Pipkin’s model. Thus, the derived equations are physically more realistic since they overcome the property of infinite propagation speed (Fourier’s law property). They are also characterized by the presence of a symport term. Moreover, it is possible to recover the Fourier, Cattaneo and Coleman–Gurtin laws from
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Dissertations / Theses on the topic "Fourier’s method"

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Heinrich, Bernd, and Beate Jung. "The Fourier-finite-element method with Nitsche-mortaring." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601493.

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The paper deals with a combination of the Fourier-finite-element method with the Nitsche-finite-element method (as a mortar method). The approach is applied to the Dirichlet problem of the Poisson equation in three-dimensional axisymmetric domains $\widehat\Omega$ with non-axisymmetric data. The approximating Fourier method yields a splitting of the 3D-problem into 2D-problems. For solving the 2D-problems on the meridian plane $\Omega_a$, the Nitsche-finite-element method with non-matching meshes is applied. Some important properties of the approximation scheme are derived and the
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Ciarlet, Jr Patrick, Beate Jung, Samir Kaddouri, Simon Labrunie, and Jun Zou. "The Fourier Singular Complement Method for the Poisson Problem. Part III: Implementation Issues." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601654.

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This paper is the last part of a three-fold article aimed at some efficient numerical methods for solving the Poisson problem in three-dimensional prismatic and axisymmetric domains. In the first and second parts, the Fourier singular complement method (FSCM) was introduced and analysed for prismatic and axisymmetric domains with reentrant edges, as well as for the axisymmetric domains with sharp conical vertices. In this paper we shall mainly conduct numerical experiments to check and compare the accuracies and efficiencies of FSCM and some other related numerical methods for solv
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Pippig, Michael. "Massively Parallel, Fast Fourier Transforms and Particle-Mesh Methods: Massiv parallele schnelle Fourier-Transformationen und Teilchen-Gitter-Methoden." Doctoral thesis, Universitätsverlag der Technischen Universität Chemnitz, 2015. https://monarch.qucosa.de/id/qucosa%3A20398.

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The present thesis provides a modularized view on the structure of fast numerical methods for computing Coulomb interactions between charged particles in three-dimensional space. Thereby, the common structure is given in terms of three self-contained algorithmic frameworks that are built on top of each other, namely fast Fourier transform (FFT), nonequispaced fast Fourier transform (NFFT) and NFFT based particle-mesh methods (P²NFFT). For each of these frameworks algorithmic enhancement and parallel implementations are presented with special emphasis on scalability up to hundreds of thousands
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Chau, Ki-wai, and 周麒偉. "Fourier-cosine method for insurance risk theory." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2014. http://hdl.handle.net/10722/208586.

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In this thesis, a systematic study is carried out for effectively approximating Gerber-Shiu functions under L´evy subordinator models. It is a hardly touched topic in the recent literature and our approach is via the popular Fourier-cosine method. In theory, classical Gerber-Shiu functions can be expressed in terms of an infinite sum of convolutions, but its inherent complexity makes efficient computation almost impossible. In contrast, Fourier transforms of convolutions could be evaluated in a far simpler manner. Therefore, an efficient numerical method based on Fourier transform is pursue
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Nkemzi, Boniface, and Bernd Heinrich. "Partial Fourier approximation of the Lamé equations in axisymmetric domains." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501145.

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In this paper, we study the partial Fourier method for treating the Lamé equations in three-­dimensional axisymmetric domains subjected to nonaxisymmetric loads. We consider the mixed boundary value problem of the linear theory of elasticity with the displacement u, the body force f \in (L_2)^3 and homogeneous Dirichlet and Neumann boundary conditions. The partial Fourier decomposition reduces, without any error, the three­dimensional boundary value problem to an infinite sequence of two­dimensional boundary value problems, whose solutions u_n (n = 0,1,2,...) are the Fourier coeffic
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Berta, Abaynesh. "Option Pricing using the Fast Fourier Transform Method." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-51058.

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The fast Fourier transform (FFT), even though it has been widely applicable in Physics and Engineering, it has become attractive in Finance as well for it’s enhancement of computational speed. Carr and Madan succeeded in implementing the FFT for pricing of an option. This project, inspired by Carr and Madan’s paper, attempts to elaborate and connect the various mathematical and theoretical concepts that are helpful in understanding of the derivation. Further, we derive the characteristic function of the risk neutral probability for the logarithmic terminal stock price. The Black-Scholes-Merton
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ATTA-FOSU, THOMAS. "Fourier Based Method for Simultaneous Segmentation and Nonlinear Registration." Case Western Reserve University School of Graduate Studies / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=case1492439037011351.

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Heinrich, Bernd, and Beate Jung. "Nitsche- and Fourier-finite-element method for the Poisson equation in axisymmetric domains with re-entrant edges." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601691.

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The paper deals with a combination of the Fourier method with the Nitsche-finite-element method (as a mortar method). The approach is applied to the Dirichlet problem of the Poisson equation in threedimensional axisymmetric domains with reentrant edges generating singularities. The approximating Fourier method yields a splitting of the 3D problem into 2D problems on the meridian plane of the given domain. For solving the 2D problems bearing corner singularities, the Nitsche finite-element method with non-matching meshes and mesh grading near reentrant corners is applied. Using the
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Mashalaba, Qaphela. "Implementation of numerical Fourier method for second order Taylor schemes." Master's thesis, Faculty of Commerce, 2019. http://hdl.handle.net/11427/30978.

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The problem of pricing contingent claims in a complete market has received a significant amount of attention in literature since the seminal work of Black, Fischer and Scholes, Myron (1973). It was also in 1973 that the theory of backward stochastic differential equations (BSDEs) was developed by Bismut, Jean-Michel (1973), but it was much later in the literature that BSDEs developed links to contingent claim pricing. This dissertation is a thorough exposition of the survey paper Ruijter, Marjon J and Oosterlee, Cornelis W (2016) in which a highly accurate and efficient Fourier pricing techniq
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Hansson, Peter. "Surface Characterization using Radiometric and Fourier Optical Methods." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3569.

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Books on the topic "Fourier’s method"

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Constanda, Christian, and Dale Doty. The Generalized Fourier Series Method. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-55849-9.

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Easton, Roger L. Fourier Methods in Imaging. John Wiley & Sons, Ltd, 2010. http://dx.doi.org/10.1002/9780470660102.

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Boyd, J. P. Chebyshev & Fourier spectral methods. Springer-Verlag, 1989.

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L, Easton Roger. Fourier methods in imaging. Wiley, 2010.

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Pollock, D. S. G. Fourier methods: A survey. London University, Queen Mary and Westfield College, Department of Economics, 1995.

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Pollock, D. S. G. Fourier methods: A survey. Queen Mary and Westfield College, Dept. of Economics, 1995.

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Pollock, D. S. G. Fourier methods: A survey. Queen Mary and Westfield College Department of Economics, 1995.

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Ramanathan, Jayakumar. Methods of Applied Fourier Analysis. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-1756-5.

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Boyd, John Philip. Chebyshev & Fourier Spectral Methods. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83876-7.

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Cherubini, Umberto, Giovanni Della Lunga, Sabrina Mulinacci, and Pietro Rossi, eds. Fourier Transform Methods in Finance. John Wiley & Sons, Inc., 2012. http://dx.doi.org/10.1002/9781119207825.

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Book chapters on the topic "Fourier’s method"

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Yang, Fu-Bao, and Ji-Ping Huang. "Transformation Thermotics and Effective Medium Theory for Thermal Conduction." In Diffusionics. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-0487-3_4.

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AbstractIn this Chapter, we embark on an exploration of the intricacies of heat conduction, primarily delving into the transformation thermotics and the effective medium theory. Beginning with the foundational Fourier’s law of heat conduction, an intriguing observation is the form invariance of the associated equations under arbitrary coordinate transformations. This symmetry elucidates a novel method for orchestrating the temperature field and heat flux dynamics. To illustrate the practical implications and operationalizability of the thermal transformation, we conceptualized and implemented
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Rašuo, Boško. "On solving boundary value problem in fluid mechanics by Fourier’s method: Wall Interference of Transonic Wind Tunnels." In Analysis and Simulation of Multifield Problems. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-36527-3_38.

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Peyret, Roger. "Fourier Method." In Spectral Methods for Incompressible Viscous Flow. Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4757-6557-1_3.

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Bachetti, Matteo, and Daniela Huppenkothen. "Fourier Methods." In Handbook of X-ray and Gamma-ray Astrophysics. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-4544-0_137-1.

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Bachetti, Matteo, and Daniela Huppenkothen. "Fourier Methods." In Handbook of X-ray and Gamma-ray Astrophysics. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-19-6960-7_137.

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Sansò, Fernando, and Daniele Sampietro. "Fourier Methods." In Analysis of the Gravity Field. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-74353-6_3.

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Pascucci, Andrea. "Fourier methods." In PDE and Martingale Methods in Option Pricing. Springer Milan, 2011. http://dx.doi.org/10.1007/978-88-470-1781-8_15.

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Komech, Alexander, and Andrew Komech. "The Fourier method." In Problem Books in Mathematics. Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-1096-7_2.

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Kosloff, R. "The Fourier Method." In Numerical Grid Methods and Their Application to Schrödinger’s Equation. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8240-7_10.

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Rektorys, Karel. "The Fourier Method." In Solving Ordinary and Partial Boundary Value Problems in Science and Engineering. CRC Press, 2024. http://dx.doi.org/10.1201/9781003574101-6.

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Conference papers on the topic "Fourier’s method"

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Sun, Jiasong, Yefeng Shu, and Chao Zuo. "Adaptive Optical Quantitative Phase Imaging of Living Cells Based on Fourier Ptychographic Microscopy." In Adaptive Optics: Methods, Analysis and Applications. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/aopt.2024.ow1f.3.

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In this report, we present an adaptive optical Quantitative Phase Imaging (QPI) method based on annular illumination Fourier Ptychographic Microscopy (FPM). Using only six low-resolution images captured at six different illumination angles that match the objective, we're able to recover high-resolution quantitative phase images and characterize the aberrations in real time.
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Vi´zva´ry, Zsolt. "Finite Element Discretization of Piezothermoelastic Equations Using the Generalized Equation of Heat Conduction." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84190.

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In this paper, the derivation of the finite element equations of piezothermoelasticity is presented using the classical and generalized Fourier’s law. Galerkin’s method is used to the spatial discretization of the equations. Based upon these equations, a finite element code is under development.
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Sharma, Kal Renganathan. "Mesoscopic Heat Conduction and Onset of Periodicity." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47391.

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Mesoscopic approach deals with study that considers temporal fluctuations which is often averaged out in a macroscopic approach without going into the molecular or microscopic approach. Transient heat conduction cannot be fully described by Fourier representation. The non-Fourier effects or finite speed of heat propagation effect is accounted for by some investigators using the Cattaneo and Vernotte non-Fourier heat conduction equation: q=−k∂T/∂x−τr∂q/∂t(1) A generalized expression to account for the non-Fourier or thermal inertia effects suggested by Sharma (5) as: q=−k∂T/∂x−τr∂q/∂t−τr2/2!∂2q
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Chen, Leitao, Timothy Petrosius, and Laura Schaefer. "Numerical Simulation of Heat Conduction Problems With the Lattice Boltzmann Method (LBM) and Discrete Boltzmann Method (DBM): A Comparative Study." In ASME 2020 Heat Transfer Summer Conference collocated with the ASME 2020 Fluids Engineering Division Summer Meeting and the ASME 2020 18th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/ht2020-8972.

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Abstract Unlike Fourier’s law, which is built upon the continuum assumption and constitutive equation of energy conservation, kinetic models study the transport phenomena from a more fundamental level and in a more generalized way. The Boltzmann equation (BE), which is one type of kinetic model, is a generalized transport model that can solve any advection-diffusion problem regardless of whether such a problem is advection-dominated or diffusion-dominated. Although the BE has been successfully applied to model fluid transport, which is an advection-dominated process, in this paper, in order to
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Shokouhmand, Hossein, Vahid Abdollahi, Koohyar Vahidkhah, Kaveh Habibi, Hatef Aria, and Farzin M. Shemirani. "Numerical Simulation, Method of Design and Optimization of a Brick Dryer." In ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. ASMEDC, 2009. http://dx.doi.org/10.1115/ht2009-88086.

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In the present study, an innovative method for an accurate simulation and design of a chamber dryer used in brick/ceramic industry has been proposed. A thorough investigation of currently used dryers is conducted and the source of losses and optimization criteria are detected and discussed. Three-dimensional modeling of the chamber dryer is done via a commercial CFD Package. In the second step, critical locations in the cell together with the critical values for heat transfer coefficient are obtained from the result of 3D modeling. Then a set of partial differential equations governing heat an
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Svanadze, Merab. "Boundary Integral Equations Method in the Coupled Theory of Thermoelasticity for Porous Materials." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-10367.

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Abstract This paper concerns with the coupled linear theory of thermoelasticity for porous materials and the coupled phenomena of the concepts of Darcy’s law and the volume fraction is considered. The system of governing equations based on the equations of motion, the constitutive equations, the equation of fluid mass conservation, Darcy’s law for porous materials, Fourier’s law of heat conduction and the heat transfer equation. The system of general governing equations is expressed in terms of the displacement vector field, the change of volume fraction of pores, the change of fluid pressure
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Lee, Yung-Ming, Pei-Chi Lin, and Tsung-Wen Tsai. "Green’s Function Solution of Dual-Phase-Lag Model." In ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer. ASMEDC, 2009. http://dx.doi.org/10.1115/mnhmt2009-18425.

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In this study, the micro-scale heat conduction solution in a finite rigid slab computed with and without heat source is investigated. The analytical solution is derived by Laplace transform (LT) technique and Green’s function solution (GFS) method. The effect of heat source on the micro-scale heat conduction solution is also included in this paper. It is found that the temperature solution obtained by GFS method is smaller than that obtained by LT technique, and the GFS is in very good agreement with the solution obtained by the conventional Fourier’s law when τq = τT. Moreover, the temperatur
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Yu, Choongho, Li Shi, Alan M. Cassell, Brett A. Cruden, Quoc Ngo, and Jun Li. "Thermal Contact Resistance and Thermal Conductivity of a Carbon Nanofiber." In ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. ASMEDC, 2005. http://dx.doi.org/10.1115/ht2005-72320.

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We have used a microfabricated device to measure the thermal contact resistance between a 152-nm-diameter carbon nanofiber and the measurement device, and found that heat conduction models based on Fourier’s law can underestimate the thermal contact resistance at the nanoscale constriction if a large reduction in the effective thermal conductivity of the constriction is not taken into account. With the thermal contact resistance reduced by the deposition of a platinum layer on the contact, we observed that the thermal conductivity of the carbon nanofiber grown by using a plasma enhanced chemic
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Ezzahri, Y., and A. Shakouri. "Analysing Transient Thermoreflectance Data Using Network Identification by Deconvolution." In ASME 2009 InterPACK Conference collocated with the ASME 2009 Summer Heat Transfer Conference and the ASME 2009 3rd International Conference on Energy Sustainability. ASMEDC, 2009. http://dx.doi.org/10.1115/interpack2009-89200.

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Network Identification by Deconvolution (NID) method is applied to the analysis of the thermal transient pulsed laser heating. This is the excitation used in many optical experiments such as the Pump-Probe Transient Thermoreflectance experiment. NID method is based on linear RC network theory using Fourier’s law of heat conduction. This approach is used to extract the thermal time constant spectrum of the sample after excitation by either a step or pulsed heat source at one surface. Furthermore, using network theory mathematical transformations, the details of the heat flux path through the sa
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Poser, Rico, Jens von Wolfersdorf, and Klaus Semmler. "Transient Heat Transfer Experiments in Complex Passages." In ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. ASMEDC, 2005. http://dx.doi.org/10.1115/ht2005-72260.

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Transient heat transfer experiments were performed in a model of a multi-pass gas turbine blade cooling circuit. The inner surface of the Plexiglas model was coated with thermochromic liquid crystals in order to determine the internal heat transfer coefficients. A change in inlet temperature is applied using a pre-cooled heat exchanger. As for simple geometries the analytical solution of Fourier’s equation can often be directly used for data evaluation, one ought to pay attention to complex passages. The reason has to be seen that the flow in complex passages has to be characterized by local a
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Reports on the topic "Fourier’s method"

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Olsen, Daniel, and Brenna King. PR-179-18203-R01 Experimental Evaluation of Stack Testing Methods for Accurate VOC Measurement. Pipeline Research Council International, Inc. (PRCI), 2020. http://dx.doi.org/10.55274/r0011654.

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Volatile organic compounds (VOCs) are defined as non-methane, non-ethane hydrocarbons and have negative environmental effects, especially in the formation of ozone that creates smog. The combination of a gas chromatograph and a flame ionization detector can be implemented to quantify VOCs in engine exhaust following EPA Method 18/25A. The Fourier Transform Infrared Spectrometer can also be used to quantify VOCs in engine exhaust gas, following EPA Method 320. In this work testing and data analysis are performed with both measurement methods on multiple analyzers utilizing different engine type
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Ritchie, A. B., and M. E. Riley. An implicit fast Fourier transform method for integration of the time dependent Schrodinger or diffusion equation. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/491602.

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ZOTOVA, V. A., E. G. SKACHKOVA, and T. D. FEOFANOVA. METHODOLOGICAL FEATURES OF APPLICATION OF SIMILARITY THEORY IN THE CALCULATION OF NON-STATIONARY ONE-DIMENSIONAL LINEAR THERMAL CONDUCTIVITY OF A ROD. Science and Innovation Center Publishing House, 2022. http://dx.doi.org/10.12731/2227-930x-2022-12-1-2-43-53.

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The article describes the methodological features of the analytical solution of the problem of non-stationary one-dimensional linear thermal conductivity of the rod. The authors propose to obtain a solution to such problems by the method of finite differences using the Fourier similarity criterion. This approach is especially attractive because the similarity theory in the vast majority of cases makes it possible to do without expensive experiments and obtain simple solutions for a wide range of problems.
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Clapper-Gowdy, M., J. Dermirgian, and G. Robitaille. A quantitative method to detect explosives and selected semivolatiles in soil samples by Fourier transform infrared spectroscopy. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/82416.

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Perret, D., B. Dietiker, J. P. Gravel, T. Fournier, and A. J. M. Pugin. Ambient micro-vibration measurements in geotechnical engineering: a practical approach to the HVSR method. Natural Resources Canada/CMSS/Information Management, 2024. http://dx.doi.org/10.4095/p6qwj6n6fj.

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Depuis les dix dernières années, la communauté géotechnique s’intéresse de plus en plus à une technique géophysique basée sur l'analyse du bruit ambiant enregistré à l’aide d’un sismomètre à trois composantes à la surface du sol. Le but de cette technique est de calculer le rapport des spectres d'amplitude de Fourier des composantes horizontale et verticale de l'enregistrement, communément appelé HVSR. (Horizontal to Vertical Spectral Ratio). Lorsque le contraste de vitesse de l'onde de cisaillement entre le substratum rocheux, ou un till dense, et le sol au-dessus est suffisamment élevé, la c
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Huang, Allen H. Physical Modeling for Processing Geosynchronous Imaging Fourier Transform Spectrometer-Indian Ocean METOC Imager (GIFTS-IOMI) Hyperspectral Data. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada628540.

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Huang, Allen H. Physical Modeling for Processing Geosynchronous Imaging Fourier Transform Spectrometer-Indian Ocean METOC Imager (GIFTS-IOMI) Hyperspectral Data. Defense Technical Information Center, 2002. http://dx.doi.org/10.21236/ada634056.

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Alzarrad, Ammar, Caleb Wise, Arka Chattopadhyay, Sudipta Chowdhury, Abby Cisko, and Jeremy Beasley. Railroad infrastructure management : a novel tool for automatic interpretation of GPR imaging to minimize human intervention in railroad inspection. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48530.

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Regular monitoring and inspection of military railroad tracks are necessary to ensure the safe transportation of military freight. Manual railroad inspection has drawbacks and limitations that can impact accuracy and efficiency. This study introduces a novel tool designed to automate Ground Penetrating Radar (GPR) imaging interpretation for railroad ballast condition assessment, aiming to reduce human intervention in inspections. The tool uses advanced signal processing techniques, such as the Short-Time Fourier Transform (STFT) and Wavelet Transform (WT), to quantify ballast fouling levels ac
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Drayton, Paul, Jeffrey Panek, Tom McGrath, and James McCarthy. PR-312-12206-R01 FTIR Formaldehyde Measurement at Turbine NESHAP and Ambient Levels. Pipeline Research Council International, Inc. (PRCI), 2016. http://dx.doi.org/10.55274/r0011014.

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Since formaldehyde is ubiquitous (e.g., naturally formed through atmospheric chemistry even if not directly emitted), there is also the potential that atmospheric levels and atmospheric chemistry are not adequately understood.� That avenue of investigation may provide important information that could be important in assessing formaldehyde health risk, source contribution, and ultimately regulatory criteria for gas-fired combustion sources.� In 2002 and 2003, the pipeline industry conducted turbine formaldehyde testing using refined FTIR methods and a dedicated measurement system, which indicat
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Geist, Jon, and M. Yaqub Afridi. Simulated Sinewave Testing of Data Acquisition Systems using Sine Fitting and Discrete Fourier Transform Methods Part 1: Frequency Offset, Random, Quantization, and Jitter Noise. National Institute of Standards and Technology, 2015. http://dx.doi.org/10.6028/nist.ir.8073.

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