Log in

Relevant bibliographies by topics / Lamé equation

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers

Academic literature on the topic 'Lamé equation'

Author: Grafiati

Published: 4 June 2025

Last updated: 15 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Lamé equation.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Lamé equation"

1

Reiter, Stefan. "Halphen's transform and middle convolution." Journal für die reine und angewandte Mathematik (Crelles Journal) 2015, no. 704 (2015): 1–20. http://dx.doi.org/10.1515/crelle-2013-0048.

Full text

Abstract:

AbstractWe show that the Halphen transform of a Lamé equation can be written as the symmetric square of the Lamé equation followed by an Euler transform. We use this to compute a list of Lamé equations with arithmetic Fuchsian monodromy group. It contains all those Lamé equations where the quaternion algebra

APA, Harvard, Vancouver, ISO, and other styles

2

Maier, Robert S. "Lamé polynomials, hyperelliptic reductions and Lamé band structure." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1867 (2007): 1115–53. http://dx.doi.org/10.1098/rsta.2007.2063.

Full text

Abstract:

The band structure of the Lamé equation, viewed as a one-dimensional Schrödinger equation with a periodic potential, is studied. At integer values of the degree parameter ℓ , the dispersion relation is reduced to the ℓ =1 dispersion relation, and a previously published ℓ =2 dispersion relation is shown to be partly incorrect. The Hermite–Krichever Ansatz, which expresses Lamé equation solutions in terms of ℓ =1 solutions, is the chief tool. It is based on a projection from a genus- ℓ hyperelliptic curve, which parametrizes solutions, to an elliptic curve. A general formula for this covering is

APA, Harvard, Vancouver, ISO, and other styles

3

Fedoryuk, M. V. "The Lamé wave equation." Russian Mathematical Surveys 44, no. 1 (1989): 153–80. http://dx.doi.org/10.1070/rm1989v044n01abeh002009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Babich, E. R., and I. P. Martynov. "On the absence of logarithmic singularities in the solutions of Lamé-type equations." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 57, no. 4 (2021): 428–34. http://dx.doi.org/10.29235/1561-2430-2021-57-4-428-434.

Full text

Abstract:

The object of this research is linear differential equations of the second order with regular singularities. We extend the concept of a regular singularity to linear partial differential equations. The general solution of a linear differential equation with a regular singularity is a linear combination of two linearly independent solutions, one of which in the general case contains a logarithmic singularity. The well-known Lamé equation, where the Weierstrass elliptic function is one of the coefficients, has only meromorphic solutions. We consider such linear differential equations of the seco

APA, Harvard, Vancouver, ISO, and other styles

5

Ohmiya, Mayumi. "Darboux-Lamé equation and isomonodromic deformation." Abstract and Applied Analysis 2004, no. 6 (2004): 511–24. http://dx.doi.org/10.1155/s108533750430309x.

Full text

Abstract:

The Darboux-Lamé equation is defined as the double Darboux transformation of the Lamé equation, and is studied from the viewpoint of the isomonodromic deformation theory. It is shown that the second-order ordinary differential equation of Fuchsian type onP1correspondingto the second Darboux-Lamé equation is obtained as isomonodromic deformation of some specific Gauss' hypergeometric differential equation.

APA, Harvard, Vancouver, ISO, and other styles

6

Dassios, George, and George Fragoyiannis. "Analytical Computation of Hyper-Ellipsoidal Harmonics." Mathematics 12, no. 15 (2024): 2433. http://dx.doi.org/10.3390/math12152433.

Full text

Abstract:

The four-dimensional ellipsoid of an anisotropic hyper-structure corresponds to the four-dimensional sphere of an isotropic hyper-structure. In three dimensions, both theories for spherical and ellipsoidal harmonics have been developed by Laplace and Lamé, respectively. Nevertheless, in four dimensions, only the theory of hyper-spherical harmonics is hitherto known. This void in the literature is expected to be filled up by the present work. In fact, it is well known that the spectral decomposition of the Laplace equation in three-dimensional ellipsoidal geometry leads to the Lamé equation. Th

APA, Harvard, Vancouver, ISO, and other styles

7

Schief, W. K., A. Szereszewski, and C. Rogers. "The Lamé equation in shell membrane theory." Journal of Mathematical Physics 48, no. 7 (2007): 073510. http://dx.doi.org/10.1063/1.2747721.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Chen, Zhijie, Ting-Jung Kuo, and Chang-Shou Lin. "The geometry of generalized Lamé equation, I." Journal de Mathématiques Pures et Appliquées 127 (July 2019): 89–120. http://dx.doi.org/10.1016/j.matpur.2018.08.004.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Tajima, S. "Perturbed Lamé equation and the Buslaev phase." Ukrainian Mathematical Journal 50, no. 12 (1998): 1908–16. http://dx.doi.org/10.1007/bf02514206.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Maier, Robert S. "Algebraic solutions of the Lamé equation, revisited." Journal of Differential Equations 198, no. 1 (2004): 16–34. http://dx.doi.org/10.1016/j.jde.2003.06.006.

Full text

APA, Harvard, Vancouver, ISO, and other styles

More sources

Dissertations / Theses on the topic "Lamé equation"

1

Makhmudov, Olimdjan, and Nikolai Tarkhanov. "The first mixed problem for the nonstationary Lamé system." Universität Potsdam, 2014. http://opus.kobv.de/ubp/volltexte/2014/7192/.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

3

Ogilvie, Karen Anna. "Rigorous asymptotics for the Lamé, Mathieu and spheroidal wave equations with a large parameter." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/25390.

Full text

Abstract:

We are interested in rigorous asymptotic results pertaining to three different differential equations which lie in the Heun class (see [1] §31). The Heun class contains those ordinary linear second-order differential equations with four regular singularities. We first investigate the Lamé equation d²w/dz² +(h − v(v + 1)k² sn²(z, k)) w = 0, z ∈ [−K,K], where 0 < k < 1, sn(z, k) is a Jacobi elliptic function, and K = ∫ 1 0 dz/√(1 − z²)(1 − k²z²) is the complete elliptic integral of the first kind. We obtain rigorous uniform asymptotic approximations complete with error bounds for the Lamé functi

APA, Harvard, Vancouver, ISO, and other styles

4

Gandhi, Navneet. "Determination of dispersion curves for acoustoelastic lamb wave propagation." Thesis, Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/37158.

Full text

Abstract:

The effect of stress on Lamb wave propagation is relevant to both nondestructive evaluation and structural health monitoring because of changes in received signals due to both the associated strain and the acoustoelastic effect. A homogeneous plate that is initially isotropic becomes anisotropic under biaxial stress, and dispersion of propagating waves becomes directionally dependent. The problem is similar to Lamb wave propagation in an anisotropic plate, except the fourth order tensor in the resulting wave equation does not have the same symmetry as that for the unstressed anisotropic plate,

APA, Harvard, Vancouver, ISO, and other styles

5

Makhmudov, O. I., and I. E. Niyozov. "The Cauchy problem for the Lame system in infinite domains in R up(m)." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2996/.

Full text

Abstract:

We consider the problem of analytic continuation of the solution of the multidimensional Lame system in infinite domains through known values of the solution and the corresponding strain tensor on a part of the boundary, i.e,the Cauchy problem.

APA, Harvard, Vancouver, ISO, and other styles

6

Sousa, Walter Felizardo de. "Avaliação da centrifugação como método para separação granulométrica de nanopartículas de prata." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/3/3137/tde-25072016-081050/.

Full text

Abstract:

Nanopartículas de prata (AgNPs) vêm ganhando grande importância na prevenção contra infecções, principalmente pela sua incorporação em dispositivos médicos, tecidos entre outros produtos relacionados. Estudos prévios indicaram que partículas de menores tamanhos têm ação biocida mais efetiva. Nesse contexto, a separação granulométrica pode ser explorada para se obter partículas com as dimensões desejadas. A centrifugação foi escolhida, entre outros métodos de separação granulométrica, por sua possibilidade de ressuspensão das AgNPs após a separação, pela facilidade do aumento de escala e baixa

APA, Harvard, Vancouver, ISO, and other styles

7

I, Makhmudov O., and Niyozov I. E. "Regularization of the Cauchy Problem for the System of Elasticity Theory in R up (m)." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2998/.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Rabus, Hella. "On the quasi-optimal convergence of adaptive nonconforming finite element methods in three examples." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2014. http://dx.doi.org/10.18452/16970.

Full text

Abstract:

Eine Vielzahl von Anwendungen in der numerischen Simulation der Strömungsdynamik und der Festkörpermechanik begründen die Entwicklung von zuverlässigen und effizienten Algorithmen für nicht-standard Methoden der Finite-Elemente-Methode (FEM). Um Freiheitsgrade zu sparen, wird in jedem Durchlauf des adaptiven Algorithmus lediglich ein Teil der Gebiete verfeinert. Einige Gebiete bleiben daher möglicherweise verhältnismäßig grob. Die Analyse der Konvergenz und vor allem die der Optimalität benötigt daher über die a priori Fehleranalyse hinausgehende Argumente. Etablierte adaptive Algorithmen

APA, Harvard, Vancouver, ISO, and other styles

9

Rath, Steffen Patrick. "Production and investigation of quasi-two-dimensional Bose gases." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2010. http://tel.archives-ouvertes.fr/tel-00469991.

Full text

Abstract:

Lorsqu'un gaz bosonique ultrafroid est fortement confiné selon une direction de l'espace, les degrés de liberté correspondants sont « gelés » et le gaz devient effectivement bidimensionnel. Le sujet principal de ce manuscrit de thèse est la production de ces gaz quasi-bidimensionnels avec un nouveau dispositif expérimental ainsi que leur étude subséquente. Le manuscrit se divise en deux parties dont la première est consacrée à la description du dispositif expérimental et des techniques qui nous permettent la production des gaz de Bose ultrafroids. Le cas particulier de la production (pour laqu

APA, Harvard, Vancouver, ISO, and other styles

10

Kuechler, Sebastian. "Wave Propagation in an Elastic Half-Space with Quadratic Nonlinearity." Thesis, Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/19823.

Full text

Abstract:

This study investigates wave propagation in an elastic half-space with quadratic nonlinearity due to a line load on the surface. The consideration of this problem is one of the well known Lamb problems. Even since Lamb's original solution, numerous investigators have obtained solutions to many different variants of the Lamb problem. However, most of the solutions existing in the current literature are limited to wave propagation in a linear elastic half-space. In this work, the Lamb problem in an elastic half-space with quadratic nonlinearity is considered. For this, the problem is first formu

APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Lamé equation"

1

Helena Alexandra van der Waall. Lamé equations with finite monodromy. s.n.], 2002.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

2

Arscott, F. M., I. N. Sneddon, M. Stark, and S. Ulam. Periodic Differential Equations: An Introduction to Mathieu, Lamé, and Allied Functions. Elsevier Science & Technology Books, 2014.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

3

Shen, Zhongwei. Layer potentials and boundary value problems for parabolic lame systems of elasticity and a nonstationary linearized system of Navier-Stokes equations in Lipschitz cylinders. 1989.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Lamé equation"

1

Ruiz, Juan J. Morales. "An Application of the Lamé Equation." In Differential Galois Theory and Non-Integrability of Hamiltonian Systems. Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8718-2_6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Morales Ruiz, Juan J. "An Application of the Lamé Equation." In Differential Galois Theory and Non-Integrability of Hamiltonian Systems. Springer Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-0723-4_6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Ruiz, A., C. Muriel, and J. Ramírez. "Parametric Solutions to a Static Fourth-Order Euler–Bernoulli Beam Equation in Terms of Lamé Functions." In Recent Advances in Pure and Applied Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41321-7_7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Khoromskij, Boris N., and Gabriel Wittum. "Discrete Poincaré-Steklov Mappings for Biharmonic and Lamé Equations." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18777-3_8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Georgievskii, D. V. "Reduction of the Lamé Tensor Equations to the System of Non-Coupled Tetraharmonic Equations." In Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-50302-4_2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Li, Bing, Peng Duan, Lei Qiang, and Jie Zhuo. "A Graphical Edge Method to Solve Dispersion Equation of Lamb Waves." In Proceedings of the First Symposium on Aviation Maintenance and Management-Volume I. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54236-7_52.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Schuck, Peter, and Huaying Zhao. "Approximate Solutions for the Coupled Lamm Equations of Reacting Systems." In Sedimentation Velocity Analytical Ultracentrifugation. CRC Press, 2017. http://dx.doi.org/10.1201/b21988-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Sändig, A. M., and R. Sändig. "Singularities of Non-Rotationally Symmetric Solutions of Boundary Value Problems for the Lamé Equations in a 3 dimensional Domain with Conical Points." In Teubner-Texte zur Mathematik. Vieweg+Teubner Verlag, 1992. http://dx.doi.org/10.1007/978-3-663-11577-9_19.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Fai, Lukong Cornelius. "Lamé generalized equation." In Special Functions in Physics and Engineering. IOP Publishing, 2024. https://doi.org/10.1088/978-0-7503-6149-1ch24.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

"Chapter 6. The generalized Poisson formula for the Lamé equation." In Spherical Means for PDEs. De Gruyter, 1997. http://dx.doi.org/10.1515/9783110926026-007.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Lamé equation"

1

Soufan, Raghad, Antoine Karam, and Ahmed Aajjan. "PHYTOSTABLIZATION OF SULPHIDE MINE TAILINGS." In 24th SGEM International Multidisciplinary Scientific GeoConference 2024. STEF92 Technology, 2024. https://doi.org/10.5593/sgem2024/3.1/s13.33.

Full text

Abstract:

Orphaned or abandoned sulphide tailing disposal sites pose significant environmental hazards, including eolian dispersion, water erosion, acid mine drainage, and heavy metal mobility. Phytostabilization, an eco-friendly strategy, entails the use of alkaline amendments alongside non-native plant species capable of thriving in environments with high concentrations of heavy metals. A greenhouse experiment was conducted to assess the effect of a commercial cement which contained 46.3% sand, applied alone or combined with three magnesium (Mg) reagents on the shoot dry yield (DMY) of ryegrass (Loliu

APA, Harvard, Vancouver, ISO, and other styles

2

Beukers, Frits. "Algebraic solutions of the Lamé equation." In Differential Galois Theory. Institute of Mathematics Polish Academy of Sciences, 2002. http://dx.doi.org/10.4064/bc58-0-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Stenger, Frank. "Sine Convolution Solution of the Integral Equation Form of Lamé’s Equations." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-1188.

Full text

Abstract:

Abstract We present here two integral equation formulations to the homogeneous Lamé equations(1.1)μ Δu+(λ+μ)∇ div u=0, as described in detail in [3]. In the final expanded paper of this abstract, we also shall present a detailed procedure for the approximate solution of these equations via Sinc convolution for the case of a region V that is a half space, as well as when V consists of two composite slabs in R3.

APA, Harvard, Vancouver, ISO, and other styles

4

Grigor’ev, Yu, K. Gürlebeck, and D. Legatiuk. "Quaternionic formulation of a Cauchy problem for the Lamé equation." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5043907.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Asai, Nobuyoshi, and Yoshinori Miyazaki. "On computing eigenvalues of Lamé equation and zeros of Whittaker function by matrix method." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912919.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Tzou, H. S., D. W. Wang, and W. K. Chai. "Control of Conical Shells Laminated With Full and Diagonal Actuators." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/cie-21272.

Full text

Abstract:

Abstract Nozzles, rocket fairings and many engineering structures/components are often made of conical shells. This report focuses on the finite element modeling, analysis, and control of conical shells laminated with distributed actuators. Electromechanical constitutive equations and governing equations of a generic piezo(electric)elastic continuum are defined first, followed by strain-displacement relations and electric field-potential relations of laminated shell composites. Finite element formulation of a piezoelastic shell element with non-constant Lamé parameters is briefly reviewed; ele

APA, Harvard, Vancouver, ISO, and other styles

7

Liu, Hongye, Rong Wang, Ziqi Huang, et al. "Physics-Informed Neural Networks (PINNs)-Based Solution of the Lamb Wave Dispersion Equation for Isotropic Plates." In ASME 2024 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/smasis2024-141274.

Full text

Abstract:

Abstract Dispersion characterization is crucial for nondestructive testing (NDT) and structural health monitoring (SHM). To understand the propagation of dispersive Lamb waves in isotropic plates, this paper presents physics-informed neural networks (PINNs) to calculate the frequency-wave number domain dispersion curves of Lamb waves propagating in aluminum plates. Considering the physical properties, boundary conditions, and wave equations of isotropic metal plates, the dispersion equation for the propagation of Lamb waves in an aluminum plate is derived. Then a deep neural network is constru

APA, Harvard, Vancouver, ISO, and other styles

8

Xiang, Chun-Huan, and Hong-Lei Wang. "Periodic solutions to ZK-MEW equation in the form Lame equation." In 2017 2nd International Conference on Machinery, Electronics and Control Simulation (MECS 2017). Atlantis Press, 2017. http://dx.doi.org/10.2991/mecs-17.2017.69.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Kitamura, Rei, and Laurent Pilon. "Modeling Hydrogen Release From Doped Borosilicate Glass by Furnace or Lamp Heating." In ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. ASMEDC, 2009. http://dx.doi.org/10.1115/ht2009-88564.

Full text

Abstract:

This paper explores the physical mechanisms responsible for so-called “photo-induced hydrogen outgassing”. The latter refers to enhanced hydrogen release rate from doped borosilicate glass samples during incandescent lamp heating compared with furnace heating. Experimentally, the glass sample was placed inside an evacuated silica tube. Both were modeled as plane parallel slabs exposed to diffuse furnace radiation or to collimated lamp radiation. Combined conduction, radiation, and mass transfer were accounted for by solving the one-dimensional transient mass and energy conservation equations a

APA, Harvard, Vancouver, ISO, and other styles

10

MOKHOV, O. I. "COMPATIBLE NONLOCAL POISSON BRACKETS OF HYDRODYNAMIC TYPE AND INTEGRABLE REDUCTIONS OF THE LAMÉ EQUATIONS." In Proceedings of the Workshop. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704467_0028.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!