Relevant bibliographies by topics / Monotone difference scheme

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

Academic literature on the topic 'Monotone difference scheme'

Author: Grafiati
Published: 28 May 2022

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Journal articles on the topic "Monotone difference scheme"

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Alexandrikova, T. A., and M. P. Galanin. "NONLINEAR MONOTONIZATION OF THE BABENKO SCHEME FOR THE QUASI‐LINEAR ADVECTION EQUATION." Mathematical Modelling and Analysis 10, no. 2 (2005): 113–26. http://dx.doi.org/10.3846/13926292.2005.9637276.

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The paper is devoted to construction and development of new method for numerical solution of hyperbolic type equations [14, 17]. In the previous papers [4, 5, 6, 7, 8, 9] authors have investigated theoretically and tested experimentally 26 different finite‐difference schemes on 4 point patterns for the simplest hyperbolic equation: linear advection equation. This equation has the main features of every hyperbolic equation and is the important part of many mathematical models. In other cases the advection operator is the important part of the full operator of the problem. All 26 schemes have be
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CHEN, GUI-QIANG, and ELEUTERIO F. TORO. "CENTERED DIFFERENCE SCHEMES FOR NONLINEAR HYPERBOLIC EQUATIONS." Journal of Hyperbolic Differential Equations 01, no. 03 (2004): 531–66. http://dx.doi.org/10.1142/s0219891604000202.

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A hierarchy of centered (non-upwind) difference schemes is identified for solving hyperbolic equations. The bottom of the hierarchy is the classical Lax–Friedrichs scheme, which is the least accurate in computation, and the top of the hierarchy is the FORCE scheme, which is the optimal scheme in the family. The FORCE scheme is optimal in the sense that it is monotone, has the optimal stability condition for explicit methods, and has the smallest numerical viscosity. It is shown that the FORCE scheme is consistent with the Lax entropy inequality, that is, the limit functions of the FORCE approx
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Ngo, Cuong, and Weizhang Huang. "Monotone Finite Difference Schemes for Anisotropic Diffusion Problems via Nonnegative Directional Splittings." Communications in Computational Physics 19, no. 2 (2016): 473–95. http://dx.doi.org/10.4208/cicp.280315.140815a.

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AbstractNonnegative directional splittings of anisotropic diffusion operators in the divergence form are investigated. Conditions are established for nonnegative directional splittings to hold in a neighborhood of an arbitrary interior point. The result is used to construct monotone finite difference schemes for the boundary value problem of anisotropic diffusion operators. It is shown that such a monotone scheme can be constructed if the underlying diffusion matrix is continuous on the closure of the physical domain and symmetric and uniformly positive definite on the domain, the mesh spacing
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Chen, Yangang, Justin W. L. Wan, and Jessey Lin. "Monotone Mixed Finite Difference Scheme for Monge–Ampère Equation." Journal of Scientific Computing 76, no. 3 (2018): 1839–67. http://dx.doi.org/10.1007/s10915-018-0685-y.

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Dzenisenko, N. V., A. P. Matus, and P. P. Matus. "MONOTONE ECONOMICAL SCHEMES FOR QUASILINEAR PARABOLIC EQUATIONS." Mathematical Modelling and Analysis 7, no. 2 (2002): 207–16. http://dx.doi.org/10.3846/13926292.2002.9637193.

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In order to approximate a multidimensional quasilinear parabolic equation with unlimited nonlinearity the economical vector‐additive scheme is constructed. It is shown that its solution satisfies the maximum principle and, hence, the scheme is monotone. The proof is based on the equivalence of the vector‐additive scheme and the scheme of summarized approximation (locally one‐dimensional scheme). The a priori estimates of the difference solution in the uniform norm are obtained.
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Polevikov, Viktor K. "A monotone finite-difference high order accuracy scheme for the 2D convection – diffusion equations." Journal of the Belarusian State University. Mathematics and Informatics, no. 3 (November 29, 2019): 71–83. http://dx.doi.org/10.33581/2520-6508-2019-3-71-83.

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A stable finite-difference scheme is constructed on a minimum stencil of a uniform mesh for a two-dimensional steady-state convection – diffusion equation of a general form; the scheme is theoretically studied and tested. It satisfies the maximum principle and has the fourth order of approximation. The scheme monotonicity is controlled by two regularization parameters introduced into the difference operator. The scheme is focused on solving applied convection – diffusion problems with a developed boundary layer, including gravitational convection, thermomagnetic convection, and diffusion of pa
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Zyuzina, N. A., O. A. Kovyrkina, and V. V. Ostapenko. "Monotone Finite-Difference Scheme Preserving High Accuracy in Regions of Shock Influence." Doklady Mathematics 98, no. 2 (2018): 506–10. http://dx.doi.org/10.1134/s1064562418060315.

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Matus, P. P., and G. L. Marcinkiewicz. "On the Stability of a Monotone Difference Scheme for the Burgers Equation." Differential Equations 41, no. 7 (2005): 1003–9. http://dx.doi.org/10.1007/s10625-005-0241-z.

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Anguelov, Roumen, Jean M. S. Lubuma, and Froduald Minani. "A monotone scheme for Hamilton-Jacobi equations via the nonstandard finite difference method." Mathematical Methods in the Applied Sciences 33, no. 1 (2009): 41–48. http://dx.doi.org/10.1002/mma.1148.

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Pandian, M. C. "A weighted difference scheme and monotone iterative methods for quasilinear boundary value problems." Applied Mathematics and Computation 25, no. 3 (1988): 187–205. http://dx.doi.org/10.1016/0096-3003(88)90071-9.

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Dissertations / Theses on the topic "Monotone difference scheme"

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Жуковська, Наталія Анатоліївна, Н. А. Жуковская та N. A. Zhukovska. "Математичне моделювання впливу тепло-масоперенесення при фільтрації сольових розчинів на деформаційні процеси ґрунтових масивів". Thesis, Тернопільський національний технічний університет ім. Івана Пулюя, 2016. http://elartu.tntu.edu.ua/handle/123456789/16503.

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Робота виконана у Національному університеті водного господарства та природокористування Міністерства освіти і науки України, м. Рівне. Захист відбувся “ 30 ” червня 2016 р. о 11 годині на засіданні спеціалізованої вченої ради Д 58.052.01 у Тернопільському національному технічному університеті імені Івана Пулюя за адресою: 46001, м. Тернопіль, вул. Руська, 56. З дисертацією можна ознайомитись в науково-технічній бібліотеці Тернопільського національного технічного університету імені Івана Пулюя за адресою: 46001, м. Тернопіль, вул. Руська, 56.<br>В дисертаційній роботі побудовано нові математи
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Остапчук, Оксана Петрівна, Оксана Петровна Остапчук та O. P. Ostapchuk. "Математичне моделювання фільтрації сольових розчинів у ґрунтових середовищах з урахуванням техногенних чинників". Thesis, Тернопільський національний технічний університет ім. Івана Пулюя, 2013. http://elartu.tntu.edu.ua/handle/123456789/2412.

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Робота виконана у Національному університеті водного господарства та природокористування Міністерства освіти і науки України, м. Рівне. Захист відбувся у 2013 р. на засіданні спеціалізованої вченої ради К58.052.01 у Тернопільському національному технічному університеті імені Івана Пулюя за адресою: 46001, м. Тернопіль, вул. Руська, 56, ауд.79. З дисертацією можна ознайомитись в науково-технічній бібліотеці Тернопільського національного технічного університету імені Івана Пулюя за адресою: 46001, м. Тернопіль, вул. Руська, 56.<br>Дисертаційна робота присвячена питанням математичного моделюва
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Bénézet, Cyril. "Study of numerical methods for partial hedging and switching problems with costs uncertainty." Thesis, Université de Paris (2019-....), 2019. http://www.theses.fr/2019UNIP7079.

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Nous apportons dans cette thèse quelques contributions à l’étude théorique et numérique de certains problèmes de contrôle stochastique, ainsi que leurs applications aux mathématiques financières et à la gestion des risques financiers. Ces applications portent sur des problématiques de valorisation et de couverture faibles de produits financiers, ainsi que sur des problématiques réglementaires. Nous proposons des méthodes numériques afin de calculer efficacement ces quantités pour lesquelles il n’existe pas de formule explicite. Enfin, nous étudions les équations différentielles stochastiques r
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Huang, Yin-Liang, and 黃印良. "A monotone finite difference scheme for elliptic interface problems on arbitrary domains." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/e2v8xm.

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博士<br>國立清華大學<br>數學系<br>93<br>In this dissertation, we use body-fitting curvilinear coordinates to construct a finite difference scheme, called the Monotone Jump Condition Capturing Scheme (MJCCS), for the elliptic interface problems. The variable coefficients, the solution itself and its normal flux may be discontinuous across the interface. The entries of the coefficient matrix are easily generated via centered difference and average on neighboring mesh points. The resultant matrix of MJCCS is symmetric and positive definite. Most powerful linear solvers such as PCG and multigrid can be appli
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Book chapters on the topic "Monotone difference scheme"

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Evje, Steinar, and Kenneth Hvistendahl Karlsen. "Degenerate Convection-Diffusion Equations and Implicit Monotone Difference Schemes." In Hyperbolic Problems: Theory, Numerics, Applications. Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8720-5_31.

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Gavrilyuk, Ivan P., Martin Hermann, Volodymyr L. Makarov, and Myroslav V. Kutniv. "Three-point difference schemes for monotone second-order ODEs." In International Series of Numerical Mathematics. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0107-2_3.

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Gavrilyuk, Ivan P., Martin Hermann, Volodymyr L. Makarov, and Myroslav V. Kutniv. "Three-point difference schemes for systems of monotone second-order ODEs." In International Series of Numerical Mathematics. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0107-2_4.

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Leung, Anthony W., and Diego A. Murio. "Accelerated Monotone Scheme for Finite Difference Equations Concerning Steady-State Prey-Predator Interactions." In Numerical Approximation of Partial Differential Equations, Selection of Papers Presented at the International Symposium on NumericalAnalysis held at the Polytechnic University of Madrid. Elsevier, 1987. http://dx.doi.org/10.1016/s0304-0208(08)71733-x.

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Conference papers on the topic "Monotone difference scheme"

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Sasao, Yasuhiro, and Satoru Yamamoto. "Numerical Prediction of Unsteady Flows Through Turbine Stator-Rotor Channels With Condensation." In ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77205.

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Unsteady transonic flows with condensation through steam turbine stator-rotor channels are numerically predicted by using the numerical method developed by our group. Fundamental equations solved here consist of conservation laws of mixed gas, water vapor, water liquid, and the number density of water droplets, coupled with the momentum equations and the energy equation. Also the shear-stress transport (SST) turbulence model is employed to predict the turbulent quantities. The numerical method is based on the high-order high-resolution finite-difference method. The fourth-order monotone upstre
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Zhang, Sijun, and Xiang Zhao. "High-Resolution Schemes for Dense Gas-Particle Two-Phase Flow Computation." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45747.

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This work concerns the effects of differencing schemes on the simulation of dense gas-particle two-phase flows. The first-order upwind difference, the central difference, the second-order upwind difference, the central difference plus artificial dissipation, the deferred correction, the quadratic upstream interpolation (for convective kinematics) and the monotone upstream-centered schemes for conservation laws with different forms of flux limiters were all accomplished to simulate the multi-phase flows. It was found that differencing schemes might significantly affect the solution accuracy and
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Gushchin, Valentin A. "On a family of monotone finite-difference schemes of the second order of approximation." In 41ST INTERNATIONAL CONFERENCE “APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS” AMEE ’15. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4936728.

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Sakami, M., K. Mitra, and P. F. Hsu. "Transient Radiative Transfer in Anisotropically Scattering Media Using Monotonicity-Preserving Schemes." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1376.

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Abstract This research work deals with the analysis of transient radiative transfer in one-dimensional scattering medium. The time-dependant discrete ordinates method was used with an upwind monotonic scheme: the piecewise parabolic scheme. This scheme was chosen over a total variation diminishing version of the Lax-Wendroff scheme. These schemes were originally developed to solve Eulerian advection problem in hydrodynamics. The capability of these schemes to handle sharp discontinuity in a propagating electromagnetic wave front was compared. The accuracy and the efficiency of the discrete ord
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Bernardin, F., C. H. Lamarque, and M. Schatzman. "Multivalued Stochastic Differential Equations and Its Applications in Dynamics." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48477.

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Using a maximal monotone graph we can deal with many nonlinear dynamical problems involving e.g. dry friction or impacts. When submitted to an external stochastic term, a class of differential inclusions is obtained. Existence and uniqueness results are recalled. An adapted numerical scheme is presented. Numerical results are presented for different examples of models.
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Park, Jun Sung, and Seung Wook Baek. "Unsteady Analysis of Particle-Laden Gas Flows When Hit by a Moving Shock Wave." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/htd-24169.

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Abstract A successful prediction of the thermo-fluid mechanical characteristics of gas and particles is very crucial and imperative for the successful design and operation of rocket nozzles and energy conversion systems. This paper describes an interaction phenomenon when a moving shock wave hits a two-phase medium of gas and particles. A particle-laden gas is considered to be located along a ramp so that numerical integration is accomplished from the tip of ramp for a finite period. For the numerical solution, a fully conservative unsteady implicit 2nd order time-accurate sub-iteration method
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Murrone, A., and C. Le Touze. "Eulerian coupling of two-phase flow models for the large eddy simulation of the atomization in cryogenic combustion chamber." In Progress in Propulsion Physics – Volume 11. EDP Sciences, 2019. http://dx.doi.org/10.1051/eucass/201911195.

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A Large Eddy Simulation (LES) of the primary atomization in cryogenic combustion chamber is proposed. To reach this crucial challenge, different two-phase flow models are necessary because the simulation includes multiscale phenomena. A fully Eulerien coupling strategy has been implemented in a multiphysics platform and a primary atomization model has been suggested. This strategy combines a diffuse interface model for the atomization of the liquid jet and a kinetic based model for the combustion of the spray. Concerning numerical methods, a time splitting and a new specific Monotonic Upstream
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Renze, Peter, Wolfgang Schro¨der, and Matthias Meinke. "Large-Eddy Simulation of Interacting Film Cooling Jets." In ASME Turbo Expo 2009: Power for Land, Sea, and Air. ASMEDC, 2009. http://dx.doi.org/10.1115/gt2009-59164.

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In the present paper the flow field of a film cooling configuration with three staggered rows of holes is investigated using large-eddy simulations (LES). The numerical method uses the MILES approach (monotone-integrated large-eddy simulation) and the discretization of the governing equations is based on a mixed central-upwind AUSM (advective upstream splitting method) scheme with low numerical dissipation. The current investigations focus on full-coverage film cooling with finest drilling holes. The film cooling configuration consists of three staggered rows of holes with a lateral hole spaci
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Badeau, Allen E., and Ismail B. Celik. "Vertical Buoyant Jet Analysis in an Enclosure Using ITM and LES." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56506.

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The objective of this study is to investigate vertical buoyant jets in an enclosure using Large Eddy Simulation (LES) methods with no sub-grid scale model. This type of methodology is called Implicit Turbulent Modeling (ITM). Two different boundary conditions are applied at the inlet, being a uniform and periodic forcing velocity distribution. To accomplish this goal, a numerical solver was written, named DREAM®, which is capable of solving three dimensional, transient flows using an accurate monotonic upwinding scheme. The three-dimensional Navier-Stokes equations are solved in Cartesian coor
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