Relevant bibliographies by topics / Von Neumann stability condition

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

Academic literature on the topic 'Von Neumann stability condition'

Author: Grafiati
Published: 25 January 2025
Last updated: 31 July 2025

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Journal articles on the topic "Von Neumann stability condition"

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Kamel, Aladin H. "A stability checking procedure for finite-difference schemes with boundary conditions in acoustic media." Bulletin of the Seismological Society of America 79, no. 5 (1989): 1601–6. http://dx.doi.org/10.1785/bssa0790051601.

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Abstract The manner in which boundary conditions are approximated and introduced into finite-difference schemes has an important influence on the stability and accuracy of the results. The standard von Neumann stability condition applies only for points which are not in the vicinity of the boundaries. This stability condition does not take into consideration the effects caused by introducing the boundary conditions to the scheme. In this paper, we extend the von Neumann condition to include boundary conditions. The method is based on studying the time propagating matrix which governs the space
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Li, Yong Heng, and Xia Li. "Extension of Von Neumann Model of National Economic System." Applied Mechanics and Materials 55-57 (May 2011): 101–4. http://dx.doi.org/10.4028/www.scientific.net/amm.55-57.101.

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The Von Neumann Model on national economical system is investigated. A new discrete-time input-output model on national economic system based on the classic Von Neumann Model is provided and the stability of this kind of model is researched. This new system belongs to the singular system. By the new mathematic method, this singular linear system will not be converted into the general linear system. Finally, a sufficient stability condition under which the discrete-time singular Extended Von Neumann Model is admissible is proved.
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Haney, Matthew M. "Generalization of von Neumann analysis for a model of two discrete half-spaces: The acoustic case." GEOPHYSICS 72, no. 5 (2007): SM35—SM46. http://dx.doi.org/10.1190/1.2750639.

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Evaluating the performance of finite-difference algorithms typically uses a technique known as von Neumann analysis. For a given algorithm, application of the technique yields both a dispersion relation valid for the discrete time-space grid and a mathematical condition for stability. In practice, a major shortcoming of conventional von Neumann analysis is that it can be applied only to an idealized numerical model — that of an infinite, homogeneous whole space. Experience has shown that numerical instabilities often arise in finite-difference simulations of wave propagation at interfaces with
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Wu, Xiu Mei, Tao Zi Si, and Lei Jiang. "Stable Computer Control Algorithm of Von Neumann Model." Advanced Materials Research 634-638 (January 2013): 4026–29. http://dx.doi.org/10.4028/www.scientific.net/amr.634-638.4026.

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The problem of computer control algorithm for the singular Von Neumann input-output model is researched. A kind of new mathematic method is applied to study the singular systems without converting them into general systems. A kind of stability condition under which the singular input-output model is admissible is proved with the form of linear matrix inequality. Based on this, a new state feedback stability criterion is established. Then the formula of a desired state feedback controller is derived.
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Jimrise, O. Ochwach, W. Musundi Sammy, and O. Okongo Mark. "Stability Analysis Of The Modified Advection-Dispersion Model For Nitrate Leaching Into Groundwater." Journal of Progressive Research in Mathematics 14, no. 2 (2018): 2334–40. https://doi.org/10.5281/zenodo.3974128.

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Nitrogen is a vital nutrient that enhances plant growth which has motivated the intensive use of nitrogen based fertilizers to boost crop productivity. However, Pollution by nitrate is a globally growing problem due to the population growth, increase in the demand for food and inappropriate Nitrogen application. The complexities and challenges in quantifying nitrate leaching have led to development of a range of measurement and modeling techniques. However, most of them are not widely applied due to their inaccuracy. This calls for new approaches in which nitrate leaching can be analysed in or
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WESSELING, P. "von Neumann stability conditions for the convection-diffusion eqation." IMA Journal of Numerical Analysis 16, no. 4 (1996): 583–98. http://dx.doi.org/10.1093/imanum/16.4.583.

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Roman, Marcel, and Adrian Sandovici. "On the Equality A=A1A2 for Linear Relations." Axioms 14, no. 4 (2025): 239. https://doi.org/10.3390/axioms14040239.

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Assume that A, A1, and A2 are three selfadjoint linear relations (multi-valued linear operators) in a certain complex Hilbert space. In this study, conditions are presented for the multi-valued operator equality A=A1A2 to hold when the inclusion A⊂A1A2 is assumed to be satisfied. The present study is strongly motivated by the invalidity of a classical result from A. Devinatz, A.E.Nussbaum, and J. von Neumann in the general case of selfadjoint linear relations. Two types of conditions for the aforementioned equality to hold are presented. Firstly, a condition is given in terms of the resolvent
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M. Jemimah, M. Alpha, and Abubakar Alkasim. "Exact Solution of Couple Burgers’ Equation using Cubic B-Spline Collocation Method for Fluid Suspension/Colloid under the Influence of Gravity." African Journal of Advances in Science and Technology Research 14, no. 1 (2024): 73–85. http://dx.doi.org/10.62154/ymthy538.

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In this research, Cubic B-Spline plane method was used to solve numerically the one-dimensional Burger’s Equation with initial condition , boundary conditions; . The cubic trigonometric B-spline was used for interpolating the solutions at each time and using the Von-Neumann method to check the stability. The obtained numerical result showed that the method was efficient, robust and reliable for solving Burgers’ Equation accurately even involving high Reynolds numbers for which the exact solutions have failed.
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Hafiz, Khandaker Md Eusha Bin, and Laek Sazzad Andallah. "Second Order Scheme For Korteweg-De Vries (KDV) Equation." Journal of Bangladesh Academy of Sciences 43, no. 1 (2019): 85–93. http://dx.doi.org/10.3329/jbas.v43i1.42237.

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The kinematics of the solitary waves is formed by Korteweg-de Vries (KdV) equation. In this paper, a third order general form of the KdV equation with convection and dispersion terms is considered. Explicit finite difference schemes for the numerical solution of the KdV equation is investigated and stability condition for a first-order scheme using convex combination method is determined. Von Neumann stability analysis is performed to determine the stability condition for a second order scheme. The well-known qualitative behavior of the KdV equation is verified and error estimation for compari
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Quintana-Murillo, J., and S. B. Yuste. "An Explicit Numerical Method for the Fractional Cable Equation." International Journal of Differential Equations 2011 (2011): 1–12. http://dx.doi.org/10.1155/2011/231920.

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An explicit numerical method to solve a fractional cable equation which involves two temporal Riemann-Liouville derivatives is studied. The numerical difference scheme is obtained by approximating the first-order derivative by a forward difference formula, the Riemann-Liouville derivatives by the Grünwald-Letnikov formula, and the spatial derivative by a three-point centered formula. The accuracy, stability, and convergence of the method are considered. The stability analysis is carried out by means of a kind of von Neumann method adapted to fractional equations. The convergence analysis is ac
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Dissertations / Theses on the topic "Von Neumann stability condition"

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Courtin, Victor. "Extensions of some approximate Riemann Solvers for the computation of mixed incompressible-compressible flows." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASM041.

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Dans cette thèse, on s'intéresse à la simulation d'écoulements compressibles à l'aide de méthodes numériques implicites de type solveurs de Riemann, telles que la méthode de Roe ou le schéma HLLC. L'objectif est de développer des extensions faible nombre de Mach afin de préserver la précision des solutions discrètes dans la limite bas Mach. Ce type d'écoulement est souvent rencontré dans la simulation de configurations industrielles, caractérisées par la présence de zones plus ou moins étendues à faible vitesse.On se focalise sur la composante hyperbolique des équations de Navier-Stokes, qui c
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Roudaut, Julien. "Algèbres moyennables." Sorbonne Paris Cité, 2016. http://www.theses.fr/2016USPCC016.

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Introduite en 1929 par Von Neumann, la moyennabilité a pris une place importante dans les mathématiques actuelles. Initialement formulée pour les groupes, elle admet des caractérisations dans de nombreux domaines, dont la condition de Folner est l'une des plus classiques. Dans la thèse, on définit, et étudie, une nouvelle notion de moyennabilité pour les algèbres, basée sur cette condition de Folner. La structure des algèbres est riche, et l'on commence par établir de nombreux résultats structurels (de stabilité notamment), que l'on met ensuite en oeuvre au travers l'étude de deux exemples : l
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Konangi, Santosh. "Stability Analysis of Artificial-Compressibility-type and Pressure-Based Formulations for Various Discretization Schemes for 1-D and 2-D Inviscid Flow, with Verification Using Riemann Problem." University of Cincinnati / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1321371661.

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Kunadian, Illayathambi. "NUMERICAL INVESTIGATION OF THERMAL TRANSPORT MECHANISMS DURING ULTRA-FAST LASER HEATING OF NANO-FILMS USING 3-D DUAL PHASE LAG (DPL) MODEL." UKnowledge, 2004. http://uknowledge.uky.edu/gradschool_theses/324.

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Ultra-fast laser heating of nano-films is investigated using 3-D Dual Phase Lag heat transport equation with laser heating at different locations on the metal film. The energy absorption rate, which is used to model femtosecond laser heating, is modified to accommodate for three-dimensional laser heating. A numerical solution based on an explicit finite-difference method is employed to solve the DPL equation. The stability criterion for selecting a time step size is obtained using von Neumann eigenmode analysis, and grid function convergence tests are performed. DPL results are compared with c
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Simon, Amélie. "Modélisation des phénomènes de films liquides dans les turbines à vapeur." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSEC001/document.

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Dans la production d'électricité, un des leviers centraux pour réduire les détériorations et les pertes causées par l'humidité dans les turbines à vapeur est l'étude des films liquides. Ces films minces, sont créés par la déposition de gouttes et sont fortement cisaillés. Des gouttes peuvent ensuite être arrachées du film. A l'heure actuelle, aucun modèle complet et valide n'existe pour décrire ce phénomène. Un modèle 2D à formulation intégrale associé à des lois de fermetures a été dérivé pour représenter ce film. Comparé aux équations classiques de Saint-Venant, le modèle prend en compte dav
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Neumann, Axel [Verfasser]. "Compensating microphonics in SRF cavities to ensure beam stability for future free electron lasers = Mikrophoniekompensation in supraleitenden Hohlraumresonatoren zur Gewährleistung der Strahlstabilität für zukünftige freie Elektronen-Laser / von Axel Neumann." 2008. http://d-nb.info/992024609/34.

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Books on the topic "Von Neumann stability condition"

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Shi, Jian. A simplified Von Neumann method for linear stability analysis. Cranfield Institute of Technology, College of Aeronautics, 1993.

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Edmunds, D. E., and W. D. Evans. Unbounded Linear Operators. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0003.

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This chapter is concerned with closable and closed operators in Hilbert spaces, especially with the special classes of symmetric, J-symmetric, accretive and sectorial operators. The Stone–von Neumann theory of extensions of symmetric operators is treated as a special case of results for compatible adjoint pairs of closed operators. Also discussed in detail is the stability of closedness and self-adjointness under perturbations. The abstract results are applied to operators defined by second-order differential expressions, and Sims’ generalization of the Weyl limit-point, limit-circle character
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Tiwari, Sandip. Information mechanics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198759874.003.0001.

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Information is physical, so its manipulation through devices is subject to its own mechanics: the science and engineering of behavioral description, which is intermingled with classical, quantum and statistical mechanics principles. This chapter is a unification of these principles and physical laws with their implications for nanoscale. Ideas of state machines, Church-Turing thesis and its embodiment in various state machines, probabilities, Bayesian principles and entropy in its various forms (Shannon, Boltzmann, von Neumann, algorithmic) with an eye on the principle of maximum entropy as an
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Grant, Robert. Neurocutaneous syndromes. Oxford University Press, 2011. http://dx.doi.org/10.1093/med/9780198569381.003.0235.

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This chapter describes several neurocutaneous syndromes, including tuberous sclerosis, neurofibromatosis, Sturge–Weber syndrome, Von-Hippel–Lindau disease and ataxia telangiectasia amongst others.Tuberous sclerosis, also known as Epiloia or Bournville’s Disease, is an autosomal dominant multisystem disease it usually presents in childhood with a characteristic facial rash, adenoma sebaceum, seizures, and sometimes learning difficulties. Central nervous system lesions in tuberous sclerosis are due to a developmental disorder of neurogenesis and neuronal migration. Other organs such as the heart
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Book chapters on the topic "Von Neumann stability condition"

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Ashyralyev, Allaberen, Koray Turk, and Deniz Agirseven. "On the Stability of the Time Delay Telegraph Equation with Neumann Condition." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69292-6_15.

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Faenza, Yuri, Clifford S. Stein, and Jia Wan. "Von Neumann-Morgenstern Stability and Internal Closedness in Matching Theory." In Integer Programming and Combinatorial Optimization. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-59835-7_13.

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Wen, Chih-Yung, Yazhong Jiang, and Lisong Shi. "Numerical Features of CESE Schemes." In Engineering Applications of Computational Methods. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-0876-9_6.

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AbstractIn this chapter, some remarks are made on the numerical characteristics of the CESE schemes described in foregoing chapters. Due to the special formulation, rigorous analysis of the CESE schemes will take more efforts than that of traditional finite difference schemes. However, it is possible to extend the widely used modified equation analysis, modified wavenumber analysis, and von Neumann stability analysis to the CESE schemes.
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Lacková, Katarína, and Peter Frolkovič. "Von Neumann Stability Analysis of Upwind Numerical Scheme Applied to Level Set Equation with Small Curvature Term." In SEMA SIMAI Springer Series. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-55264-9_12.

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Wesseling, P. "A Method to Obtain von Neumann Stability Conditions for the Convection-Diffusion Equation." In Numerical Methods for Fluid Dynamics V. Oxford University PressOxford, 1996. http://dx.doi.org/10.1093/oso/9780198514800.003.0013.

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Abstract For the computation of time-dependent incompressible flows, the pressure-correction method is widely used. For the velocity prediction step something very close to the convection-diffusion equation is solved, and von Neumann stability analysis boils down to von Neumann stability analysis for the convection-diffusion equation, which is the topic of this paper. From now on, by stability we will mean stability in the sense of von Neumann, i.e. non-growth of Fourier components in the frozen coefficients case on an infinite domain.
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Zwillinger, Daniel. "Stability: Von Neumann Test." In Handbook of Differential Equations. Elsevier, 1992. http://dx.doi.org/10.1016/b978-0-12-784391-9.50164-0.

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"Stability of Products." In Hochschild Cohomology of Von Neumann Algebras. Cambridge University Press, 1995. http://dx.doi.org/10.1017/cbo9780511526190.009.

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HIAI, FUMIO, MASANORI OHYA, and MAKOTO TSUKADA. "SUFFICIENCY, KMS CONDITION AND RELATIVE ENTROPY IN VON NEUMANN ALGEBRAS." In Selected Papers of M Ohya. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812794208_0030.

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"Expanding the von Neumann Stability Mode for the Discretized Black-Scholes Equation." In The Mathematics of Derivatives. John Wiley & Sons, Inc., 2015. http://dx.doi.org/10.1002/9781119197034.app3.

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Abe, Sumiyoshi. "Generalized Nonadditive Information Theory and Quantum Entanglement." In Nonextensive Entropy. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780195159769.003.0007.

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Nonadditive classical information theory is developed in the axiomatic framework and then translated into quantum theory. The nonadditive conditional entropy associated with the Tsallis entropy indexed by q is given in accordance with the formalism of nonextensive statistical mechanics. The theory is applied to the problems of quantum entanglement and separability of the Werner-Popescu-type mixed state of a multipartite system, in order to examine if it has any points superior to the additive theory with the von Neumann entropy realized in the limit q → 1. It is shown that the nonadditive theo
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Conference papers on the topic "Von Neumann stability condition"

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Liao, Jun, Renwei Mei, and James F. Klausner. "A Study on Numerical Instability of Inviscid Two-Fluid Model Near Ill-Posedness Condition." 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/ht2005-72652.

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The two-fluid model is widely used in studying gas-liquid flow inside pipelines because it can qualitatively predict the flow field at low computational cost. However, the two-fluid model becomes ill-posed when the slip velocity exceeds a critical value, and computations can be quite unstable before flow reaches the unstable condition. In this study computational stability of various convection schemes for the two-fluid model is analyzed. A pressure correction algorithm for inviscid flow is carefully implemented to minimize its effect on numerical stability. Von Neumann stability analysis for
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Zhang, Yuxuan, and Dingxi Wang. "Numerical stability analysis of solution methods for steady and harmonic balance equations." In GPPS Hong Kong24. GPPS, 2023. http://dx.doi.org/10.33737/gpps23-tc-112.

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This study presents an investigation into the stability and convergence properties of solution methods for the steady and unsteady Euler equations. A central scheme with artificial dissipation is used for the spatial discretization, and a Runge- Kutta scheme with or without implicit residual smoothing, such as LU-SGS for a steady solution and LU-SGS/BJ for an unsteady solution, is used for time integration. Both the von Neumann and matrix methods are used to analyze the stability of the involved solution methods. The stability of these schemes obtained by the two stability analysis methods is
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Zhu, Yuze, Yuxuan Zhang, Sen Zhang, and Dingxi Wang. "Investigation of the Sigma Approximation Technique for the Solution of the Time Spectral Equation System." In ASME Turbo Expo 2024: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/gt2024-125788.

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Abstract The time spectral method is commonly utilized to analyze periodic unsteady flows within turbomachines. However, the time spectral solutions in regions with large temporal and spatial gradients, such as wakes, shocks, and boundary layers, can be plagued with unphysical oscillations, known as the Gibbs phenomenon. This paper presents an investigation into the sigma approximation technique, which is capable of significantly attenuating the Gibbs phenomenon by dampening high-frequency nonlinear components in the time spectral solutions. Central to this technique are three sigma factors: t
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Rajasekar, M., and R. Anbu. "Periodic boundary condition for Von Neumann CA with radius 2." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135251.

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da Silva, Roberto Mamud Guedes, and Nilson Costa Roberty. "ON THE CONDITIONAL STABILITY OF THE RECONSTRUCTION OF CHARACTERISTIC SOURCES IN HELMHOLTZ EQUATIONS." In VII Seven International Multidisciplinary Congress. Seven Congress, 2025. https://doi.org/10.56238/sevenviimulti2025-014.

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This work focuses on the conditional stability in the reconstruction of characteristic sources in Helmholtz equations from boundary data, assuming the existence and uniqueness of this reconstruction. The direct problem for this equation, with Dirichlet boundary conditions, is solved using the Method of Fundamental Solutions. The obtained solution generates the corresponding Neumann data, and from this data, the Levenberg-Marquardt method is applied to estimate the parameters in the Fourier expansion of the boundary that best approximates the original boundary. In this context, the stability of
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Jagadeesh Anmala. "Time-step Criteria and Fourier (von Neumann) Stability Analysis of Two-Dimensional Finite Element Schemes for Shallow Water Equations." In 2005 Tampa, FL July 17-20, 2005. American Society of Agricultural and Biological Engineers, 2005. http://dx.doi.org/10.13031/2013.19081.

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Volders, K. "Stability of central finite difference schemes on non-uniform grids for the Black–Scholes PDE with Neumann boundary condition." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756624.

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Schussnig, Richard, Douglas R. Q. Pacheco, Manfred Kaltenbacher, and Thomas-Peter Fries. "Efficient and Higher-Order Accurate Split-Step Methods for Generalised Newtonian Fluid Flow." In VI ECCOMAS Young Investigators Conference. Editorial Universitat Politècnica de València, 2021. http://dx.doi.org/10.4995/yic2021.2021.12217.

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In various practically relevant incompressible flow problems, such as polymer flow or biomedicalengineering applications, the dependence of fluid viscosity on the local shear rate plays an impor-tant role. Standard techniques using inf-sup stable finite elements lead to saddle-point systemsposing a challenge even for state-of-the-art solvers and preconditioners.For efficiency, projection schemes or time-splitting methods decouple the governing equations forvelocity and pressure, resulting in more, but easier to solve linear systems. Doing so, boundaryconditions and correction terms at intermed
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Quintana Murillo, Joaqui´n, and Santos Bravo Yuste. "On an Explicit Difference Method for Fractional Diffusion and Diffusion-Wave Equations." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86625.

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An explicit difference scheme for solving fractional diffusion and fractional diffusion-wave equations, in which the fractional derivative is in the Caputo form, is considered. The two equations are studied separately: for the fractional diffusion equation, the L1 discretization formula is employed, whereas the L2 discretization formula is used for the fractional diffusion-wave equation. Its accuracy is similar to other well-known explicit difference schemes, but its region of stability is larger. The stability analysis is carried out by means of a procedure similar to the standard von Neumann
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Kunadian, Illayathambi, J. M. McDonough, and K. A. Tagavi. "Numerical Simulation of Heat Transfer Mechanisms During Femtosecond Laser Heating of Nano-Films Using 3-D Dual Phase Lag Model." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56823.

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In the present work we investigate femtosecond laser heating of nanoscale metal films irradiated by a pulsating laser in three dimensions using the Dual Phase Lag (DPL) model and consider laser heating at different locations on the metal film. A numerical solution based on an explicit finite-difference method has been employed to solve the DPL heat conduction equation. The stability criterion for selecting a time step size is obtained using von Neumann eigenmode analysis, and grid function convergence tests have been performed. The energy absorption rate, which is used to model femtosecond las
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