Relevant bibliographies by topics / Time- space partial differential equation

Contents

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

Academic literature on the topic 'Time- space partial differential equation'

Author: Grafiati
Published: 4 June 2021
Last updated: 17 February 2022

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Journal articles on the topic "Time- space partial differential equation"

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Modanli, Mahmut, Bawar Mohammed Faraj, and Faraedoon Waly Ahmed. "Using matrix stability for variable telegraph partial differential equation." An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 10, no. 2 (2020): 237–43. http://dx.doi.org/10.11121/ijocta.01.2020.00870.

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The variable telegraph partial differential equation depend on initial boundary value problem has been studied. The coefficient constant time-space telegraph partial differential equation is obtained from the variable telegraph partial differential equation throughout using Cauchy-Euler formula. The first and second order difference schemes were constructed for both of coefficient constant time-space and variable time-space telegraph partial differential equation. Matrix stability method is used to prove stability of difference schemes for the variable and coefficient telegraph partial differe
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Meng, Xiangqian, and Erkan Nane. "Space-time fractional stochastic partial differential equations with Lévy noise." Fractional Calculus and Applied Analysis 23, no. 1 (2020): 224–49. http://dx.doi.org/10.1515/fca-2020-0009.

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AbstractWe consider non-linear time-fractional stochastic heat type equation$$\begin{array}{} \displaystyle \frac{\partial^\beta u}{\partial t^\beta}+\nu(-\Delta)^{\alpha/2} u = I^{1-\beta}_t \bigg[\int_{\mathbb{R}^d}\sigma(u(t,x),h) \stackrel{\cdot}{\tilde N }(t,x,h)\bigg] \end{array} $$and$$\begin{array}{} \displaystyle \frac{\partial^\beta u}{\partial t^\beta}+\nu(-\Delta)^{\alpha/2} u = I^{1-\beta}_t \bigg[\int_{\mathbb{R}^d}\sigma(u(t,x),h)\stackrel{\cdot}{N }(t,x,h)\bigg] \end{array} $$in (d + 1) dimensions, where α ∈ (0, 2] and d < min{2, β−1}α, ν > 0, $\begin{array}{} \partial^\b
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OGROWSKY, A., and B. SCHMALFUSS. "DISCRETIZATION OF STATIONARY SOLUTIONS OF SPDE'S BY EXTERNAL APPROXIMATION IN SPACE AND TIME." International Journal of Bifurcation and Chaos 20, no. 09 (2010): 2835–50. http://dx.doi.org/10.1142/s0218127410027398.

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We consider a stochastic partial differential equation with additive noise satisfying a strong dissipativity condition for the nonlinear term such that this equation has a random fixed point. The goal of this article is to approximate this fixed point by space and space-time discretizations of a stochastic differential equation or more precisely, a conjugate random partial differential equation. For these discretizations external schemes are used. We show the convergence of the random fixed points of the space and space-time discretizations to the random fixed point of the original partial dif
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Saeed, Umer, and Muhammad Umair. "A modified method for solving non-linear time and space fractional partial differential equations." Engineering Computations 36, no. 7 (2019): 2162–78. http://dx.doi.org/10.1108/ec-01-2019-0011.

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Purpose The purpose of the paper is to extend the differential quadrature method (DQM) for solving time and space fractional non-linear partial differential equations on a semi-infinite domain. Design/methodology/approach The proposed method is the combination of the Legendre polynomials and differential quadrature method. The authors derived and constructed the new operational matrices for the fractional derivatives, which are used for the solutions of non-linear time and space fractional partial differential equations. Findings The fractional derivative of Lagrange polynomial is a big hurdle
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Bünner, M. J., Th Meyer, A. Kittel, and J. Par. "On the Correspondence of Time-Delay and Spatially Extended Systems." Zeitschrift für Naturforschung A 52, no. 8-9 (1997): 573–77. http://dx.doi.org/10.1515/zna-1997-8-903.

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Abstract We establish a straightforward connection between spatially extended systems, the dynamics of which are modeled with the help of partial differential equations and time-delay systems. To this end, we give a linear partial differential equation with a nonlinear boundary condition whose solutions are equivalent to the solutions of a time-delay differential equation. We observe that the phase space of these systems exhibits a pronounced structure. In this paper, we express the structure of the phase space of time-delay systems and the corresponding spatially extended system by distinguis
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Yan, Li-Mei, and Feng-Sheng Xu. "Generalized exp-function method for non-linear space-time fractional differential equations." Thermal Science 18, no. 5 (2014): 1573–76. http://dx.doi.org/10.2298/tsci1405573y.

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A generalized exp-function method is proposed to solve non-linear space-time fractional differential equations. The basic idea of the method is to convert a fractional partial differential equation into an ordinary equation with integer order derivatives by fractional complex transform. To illustrate the effectiveness of the method, space-time fractional asymmetrical Nizhnik-Novikor-Veselov equation is considered. The fractional derivatives in the present paper are in Jumarie?s modified Riemann-Liouville sense.
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Jiang, Jun, Yuqiang Feng, and Shougui Li. "Improved Fractional Subequation Method and Exact Solutions to Fractional Partial Differential Equations." Journal of Function Spaces 2020 (May 17, 2020): 1–18. http://dx.doi.org/10.1155/2020/5840920.

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In this paper, the improved fractional subequation method is applied to establish the exact solutions for some nonlinear fractional partial differential equations. Solutions to the generalized time fractional biological population model, the generalized time fractional compound KdV-Burgers equation, the space-time fractional regularized long-wave equation, and the (3+1)-space-time fractional Zakharov-Kuznetsov equation are obtained, respectively.
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Liu, Zhihui, and Zhonghua Qiao. "Strong approximation of monotone stochastic partial differential equations driven by white noise." IMA Journal of Numerical Analysis 40, no. 2 (2019): 1074–93. http://dx.doi.org/10.1093/imanum/dry088.

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Abstract We establish an optimal strong convergence rate of a fully discrete numerical scheme for second-order parabolic stochastic partial differential equations with monotone drifts, including the stochastic Allen–Cahn equation, driven by an additive space-time white noise. Our first step is to transform the original stochastic equation into an equivalent random equation whose solution possesses more regularity than the original one. Then we use the backward Euler in time and spectral Galerkin in space to fully discretise this random equation. By the monotonicity assumption, in combination w
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Güner, Özkan, and Adem C. Cevikel. "A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations." Scientific World Journal 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/489495.

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We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations. The Exp-function method is extended to solve fractional partial differential equations in the sense of the modified Riemann-Liouville derivative. We apply the Exp-function method to the time fractional Sharma-Tasso-Olver equation, the space fractional Burgers equation, and the time fractional fmKdV equation. As a result, we obtain some new exact solutions.
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Mijena, Jebessa B., and Erkan Nane. "Space–time fractional stochastic partial differential equations." Stochastic Processes and their Applications 125, no. 9 (2015): 3301–26. http://dx.doi.org/10.1016/j.spa.2015.04.008.

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Dissertations / Theses on the topic "Time- space partial differential equation"

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Kress, Wendy. "High Order Finite Difference Methods in Space and Time." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3559.

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Røvik, Camilla. "Fast Tensor-Product Solvers for the Numerical Solution of Partial Differential Equations : Application to Deformed Geometries and to Space-Time Domains." Thesis, Norwegian University of Science and Technology, Department of Mathematical Sciences, 2010. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-10814.

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<p>Spectral discretization in space and time of the weak formulation of a partial differential equations (PDE) is studied. The exact solution to the PDE, with either Dirichlet or Neumann boundary conditions imposed, is approximated using high order polynomials. This is known as a spectral Galerkin method. The main focus of this work is the solution algorithm for the arising algebraic system of equations. A direct fast tensor-product solver is presented for the Poisson problem in a rectangular domain. We also explore the possibility of using a similar method in deformed domains, where the geo
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Le, Coënt Adrien. "Guaranteed control synthesis for switched space-time dynamical systems." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLN039/document.

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Dans le présent travail de thèse, nous souhaitons approfondir l’étude des systèmes à commutation pour des problèmes aux dérivées partielles en explorant de nouvelles pistes d’investigation, incluant notamment la question de la synthèse de contrôle garanti par décomposition de l’espace des états, la synthèse de contrôle nécessitant la réduction de modèle, le contrôle des différentes sources d’erreur sur des quantités d’intérêt, et la mesure des incertitudes sur les états et les paramètres du modèle. Nous envisageons l’utilisation de méthodes de calcul ensemblistes associées à des méthodes de ré
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Krainer, Thomas, and Bert-Wolfgang Schulze. "On the inverse of parabolic systems of partial differential equations of general form in an infinite space-time cylinder [Part 1: Chapter 1+2]." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2598/.

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We consider general parabolic systems of equations on the infinite time interval in case of the underlying spatial configuration is a closed manifold. The solvability of equations is studied both with respect to time and spatial variables in exponentially weighted anisotropic Sobolev spaces, and existence and maximal regularity statements for parabolic equations are proved. Moreover, we analyze the long-time behaiour of solutions in terms of complete asymptotic expansions. These results are deduced from a pseudodifferential calculus that we construct explicitly. This algebra of operators is sp
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Krainer, Thomas, and Bert-Wolfgang Schulze. "On the inverse of parabolic systems of partial differential equations of general form in an infinite space-time cylinder [Part 2: Chapter 3-5]." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2599/.

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We consider general parabolic systems of equations on the infinite time interval in case of the underlying spatial configuration is a closed manifold. The solvability of equations is studied both with respect to time and spatial variables in exponentially weighted anisotropic Sobolev spaces, and existence and maximal regularity statements for parabolic equations are proved. Moreover, we analyze the long-time behaiour of solutions in terms of complete asymptotic expansions. These results are deduced from a pseudodifferential calculus that we construct explicitly. This algebra of operators is sp
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Krainer, Thomas, and Bert-Wolfgang Schulze. "On the inverse of parabolic systems of partial differential equations of general form in an infinite space-time cylinder [Part 3: Chapter 6+7]." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2600/.

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We consider general parabolic systems of equations on the infinite time interval in case of the underlying spatial configuration is a closed manifold. The solvability of equations is studied both with respect to time and spatial variables in exponentially weighted anisotropic Sobolev spaces, and existence and maximal regularity statements for parabolic equations are proved. Moreover, we analyze the long-time behaiour of solutions in terms of complete asymptotic expansions. These results are deduced from a pseudodifferential calculus that we construct explicitly. This algebra of operators is sp
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Carrizo, Vergara Ricardo. "Développement de modèles géostatistiques à l’aide d’équations aux dérivées partielles stochastiques." Thesis, Paris Sciences et Lettres (ComUE), 2018. http://www.theses.fr/2018PSLEM062/document.

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Ces travaux présentent des avancées théoriques pour l'application de l'approche EDPS (Équation aux Dérivées Partielles Stochastique) en Géostatistique. On considère dans cette approche récente que les données régionalisées proviennent de la réalisation d'un Champ Aléatoire satisfaisant une EDPS. Dans le cadre théorique des Champs Aléatoires Généralisés, l'influence d'une EDPS linéaire sur la structure de covariance de ses éventuelles solutions a été étudiée avec une grande généralité. Un critère d'existence et d'unicité des solutions stationnaires pour une classe assez large d'EDPSs linéaires
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Hu, Ke. "On an equation being a fractional differential equation with respect to time and a pseudo-differential equation with respect to space related to Lévy-type processes." Thesis, Swansea University, 2012. https://cronfa.swan.ac.uk/Record/cronfa43021.

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Sanomiya, Thais Akemi Tokubo. "Sobre o teorema de Campbell-Magaard e o problema de Cauchy na relatividade." Universidade Federal da Paraíba, 2016. http://tede.biblioteca.ufpb.br:8080/handle/tede/9542.

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Submitted by Vasti Diniz (vastijpa@hotmail.com) on 2017-09-18T11:49:17Z No. of bitstreams: 1 arquivototal.pdf: 2571485 bytes, checksum: 176b4eb5f639864aaef387d41330b286 (MD5)<br>Made available in DSpace on 2017-09-18T11:49:17Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 2571485 bytes, checksum: 176b4eb5f639864aaef387d41330b286 (MD5) Previous issue date: 2016-03-11<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>After the formulation of general relativity differential geometry has become an increasing important tool in theoretical physics. This is even more clear i
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Arjmand, Doghonay. "Analysis and Applications of the Heterogeneous Multiscale Methods for Multiscale Elliptic and Hyperbolic Partial Differential Equations." Licentiate thesis, KTH, Numerisk analys, NA, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-129237.

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This thesis concerns the applications and analysis of the Heterogeneous Multiscale methods (HMM) for Multiscale Elliptic and Hyperbolic Partial Differential Equations. We have gathered the main contributions in two papers. The first paper deals with the cell-boundary error which is present in multi-scale algorithms for elliptic homogenization problems. Typical multi-scale methods have two essential components: a macro and a micro model. The micro model is used to upscale parameter values which are missing in the macro model. Solving the micro model requires, on the other hand, imposing boundar
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Books on the topic "Time- space partial differential equation"

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Sowers, R. B. Short-time geometry of random heat kernels. American Mathematical Society, 1998.

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Sowers, R. B. Short-time geometry of random heat kernels. American Mathematical Society, 1998.

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Orlik, Lyubov', and Galina Zhukova. Operator equation and related questions of stability of differential equations. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1061676.

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The monograph is devoted to the application of methods of functional analysis to the problems of qualitative theory of differential equations. Describes an algorithm to bring the differential boundary value problem to an operator equation. The research of solutions to operator equations of special kind in the spaces polutoratonny with a cone, where the limitations of the elements of these spaces is understood as the comparability them with a fixed scale element of exponential type. Found representations of the solutions of operator equations in the form of contour integrals, theorems of existe
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Spectral analysis, differential equations, and mathematical physics: A festschrift in honor of Fritz Gesztesy's 60th birthday. American Mathematical Society, 2013.

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Habib, Ammari, Capdeboscq Yves 1971-, and Kang Hyeonbae, eds. Multi-scale and high-contrast PDE: From modelling, to mathematical analysis, to inversion : Conference on Multi-scale and High-contrast PDE:from Modelling, to Mathematical Analysis, to Inversion, June 28-July 1, 2011, University of Oxford, United Kingdom. American Mathematical Society, 2010.

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Ellwood, D. (David), 1966- editor of compilation, Rodnianski, Igor, 1972- editor of compilation, Staffilani, Gigliola, 1966- editor of compilation, and Wunsch, Jared, editor of compilation, eds. Evolution equations: Clay Mathematics Institute Summer School, evolution equations, Eidgenössische Technische Hochschule, Zürich, Switzerland, June 23-July 18, 2008. American Mathematical Society, 2013.

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Hersh, Reuben. Peter Lax, mathematician: An illustrated memoir. American Mathematical Society, 2015.

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Schurz, Henri, Philip J. Feinsilver, Gregory Budzban, and Harry Randolph Hughes. Probability on algebraic and geometric structures: International research conference in honor of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea, June 5-7, 2014, Southern Illinois University, Carbondale, Illinois. Edited by Mohammed Salah-Eldin 1946- and Mukherjea Arunava 1941-. American Mathematical Society, 2016.

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Lichnerowicz, André. Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time. Springer Netherlands, 2009.

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Fouque, Jean-Pierre, Josselin Garnier, George Papanicolaou, and Knut Solna. Wave Propagation and Time Reversal in Randomly Layered Media. Springer, 2010.

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Book chapters on the topic "Time- space partial differential equation"

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Nishihara, Kenji. "Critical Exponent for the Semilinear Wave Equation with Time or Space Dependent Damping." In Progress in Partial Differential Equations. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00125-8_11.

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Petkov, Vesselin. "Local energy decay and Strichartz estimates for the wave equation with time-periodic perturbations." In Phase Space Analysis of Partial Differential Equations. Birkhäuser Boston, 2006. http://dx.doi.org/10.1007/978-0-8176-4521-2_14.

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Schaumlöffel, Kay-Uwe. "White noise in space and time as the time-derivative of a cylindrical Wiener process." In Stochastic Partial Differential Equations and Applications II. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0083950.

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Liu, Fawang, and Ian Turner. "Numerical methods for time-space fractional partial differential equations." In Numerical Methods, edited by George Em Karniadakis. De Gruyter, 2019. http://dx.doi.org/10.1515/9783110571684-008.

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Gander, Martin, and Laurence Halpern. "MINISYMPOSIUM 5: Space-time Parallel Methods for Partial Differential Equations." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-34469-8_30.

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Kajitani, Kunihiko. "Time Global Solutions to the Cauchy Problem for Multidimensional Kirchhoff Equations." In Advances in Phase Space Analysis of Partial Differential Equations. Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4861-9_8.

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Klainerman, S. "On the Regularity of Classical Field Theories in Minkowski Space-Time R3+1." In Nonlinear Partial Differential Equations in Geometry and Physics. Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8895-0_2.

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Kreiss, Heinz-O., and Omar E. Ortiz. "Some Mathematical and Numerical Questions Connected with First and Second Order Time-Dependent Systems of Partial Differential Equations." In The Conformal Structure of Space-Time. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-45818-2_19.

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Klainerman, S. "Global Existence of Small Amplitude Solutions to Nonlinear Klein-Gordon Equations in Four Space-Time Dimensions." In Seminar on New Results in Nonlinear Partial Differential Equations. Vieweg+Teubner Verlag, 1987. http://dx.doi.org/10.1007/978-3-322-85049-2_3.

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Lakhel, E., and A. Tlidi. "Time-Dependent Neutral Stochastic Delay Partial Differential Equations Driven by Rosenblatt Process in Hilbert Space." In Recent Advances in Intuitionistic Fuzzy Logic Systems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02155-9_24.

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Conference papers on the topic "Time- space partial differential equation"

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DI GARBO, A., S. CHILLEMI, and L. FRONZONI. "STUDY OF A C-INTEGRABLE PARTIAL DIFFERENTIAL EQUATION." In Space-Time Chaos: Characterization, Control and Synchronization. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811660_0005.

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Attia, Nourhane, Djamila Seba, and Abdelkader Nour. "Numerical Solution for Nonlinear Time-Fractional Partial Differential Equation With Variable Coefficient Using Reproducing Kernel Hibert Space Method." In 2020 2nd International Conference on Mathematics and Information Technology (ICMIT). IEEE, 2020. http://dx.doi.org/10.1109/icmit47780.2020.9046995.

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Jafri, Syed Muhammad Mohsin, and Phayak Takkabutr. "Dynamic Stresses in a Driven Pile During Installation-Classical Wave Equation Model Solution Using Partial Differential Equations." In ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-24669.

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This paper derives and solves the governing dynamic wave equation of motion of a driven pile during the installation phase, when the driven pile is subjected to hammer blows. The pile is assumed as an elastic solid body. The equation of motion is a partial differential equation in space (axial coordinate) and time. The governing partial differential equation of motion is solved for installation boundary conditions, and simplified soil resistance models. The solution of the governing equation yields important design parameters, such as stress variation at any cross-section along the pile length
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Surana, K. S., and M. A. Bona. "Computations of Higher Class Solutions of Partial Differential Equations." In ASME 2001 Engineering Technology Conference on Energy. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/etce2001-17142.

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Abstract This paper presents a new computational strategy, computational framework and mathematical framework for numerical computations of higher class solutions of differential and partial differential equations. The approach presented here utilizes ‘strong forms’ of the governing differential equations (GDE’s) and least squares approach in constructing the integral form. The conventional, or currently used, approaches seek the convergence of a solution in a fixed (order) space by h, p or hp-adaptive processes. The fundamental point of departure in the proposed approach is that we seek conve
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Mohtar, Rabi, and Larry Segerlina. "Time Step Criteria for Solving Unsteady Engineering Field Problems." In ASME 1993 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/cie1993-0013.

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Abstract Parabolic equations govern a variety of time-dependent problems in science and engineering. Applying numerical methods such as the finite element or the finite difference method in the space domain changes the partial differential equation to a system ordinary differential equations (ODE’s). Another numerical method is needed to solve the ODE’s in the time domain. The following paper presents time step estimates to solve the system of ODE’s that satisfy both stability and accuracy criteria. These time steps are related to the Froude and Courant Numbers. Suggestions as to which time sc
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Haseli, Y., J. A. van Oijen, and L. P. H. de Goey. "A Simple Model for Prediction of Preheating and Pyrolysis Time of a Thermally Thin Charring Particle." In ASME 2012 Heat Transfer Summer Conference collocated with the ASME 2012 Fluids Engineering Division Summer Meeting and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/ht2012-58233.

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The aim of this paper is to present a simple model, based on a time and space integral method, for prediction of preheating and conversion time of a charring solid particle exposed to a non-oxidative hot environment. The main assumptions are 1) thermo-physical properties remain constant throughout the process; 2) temperature profile within the particle is assumed to obey a quadratic function with respect to the space coordinate; 3) pyrolysis initiates when the surface temperature reaches a characteristic pyrolysis temperature; 4) decomposition of virgin material occurs at an infinitesimal thin
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Surana, K. S., and Ali R. Ahmadi. "A New Theoretical and Computational Framework for Computing Solution of Higher Classes With Application to Gasdynamics in Eulerian Frame of Reference." In ASME 2001 Engineering Technology Conference on Energy. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/etce2001-17149.

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Abstract This paper presents a new computational strategy along with a computational and mathematical framework for computing non-weak numerical solutions of stationary and time dependent partial differential equations. This approach utilizes strong form of the governing differential equations (GDE) and least squares approach in constructing the integral form. This new proposed approach is applied to one dimensional transient gasdynamics equation in Eulerian frame of reference using ρ, u, T as dependent variables. The currently used finite element approaches seek convergence of a solution in a
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Joyot, Pierre, Nicolas Verdon, Gaël Bonithon, Francisco Chinesta, and Pierre Villon. "PGD-BEM Applied to the Nonlinear Heat Equation." In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/esda2012-82407.

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The Boundary Element Method (BEM) allows efficient solution of partial differential equations whose kernel functions are known. The heat equation is one of these candidates when the thermal parameters are assumed constant (linear model). When the model involves large physical domains and time simulation intervals the amount of information that must be stored increases significantly. This drawback can be circumvented by using advanced strategies, as for example the multi-poles technique. We propose radically different approach that leads to a separated solution of the space and time problems wi
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Namala, Sundar, and Rizwan Uddin. "Hybrid Nodal Integral/Finite Element Method (NI-FEM) for Time-Dependent Convection Diffusion Equation." In 2020 International Conference on Nuclear Engineering collocated with the ASME 2020 Power Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/icone2020-16703.

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Abstract Nodal integral methods (NIM) are a class of efficient coarse mesh method that use transverse averaging to reduce the governing partial differential equation(s) (PDE) into a set of ordinary differential equations (ODE), and these ODEs or their approximations are analytically solved. Since this method depends on transverse averaging, the standard application of this approach gets restricted to domains that have boundaries that are parallel to one of the coordinate axes (2D) or coordinate planes (3D). The hybrid nodal-integral/finite-element method (NI-FEM) has been developed to extend t
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Moustafa, Kamal A. F., Mohamed B. Trabia, and Mohamed I. S. Ismail. "Modeling and Control of a Variable Length Flexible Cable Overhead Crane Using the Modified Galerkin Method." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-41916.

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Abstract:
A mathematical model that accurately represents an overhead crane with flexible cable and load hoisting/lowering is developed. The analysis includes the transverse vibrations of the flexible cable and the trolley motion as well as the load hoisting/lowering motions. A set of highly non-linear partial differential equations and ordinary differential equations that govern the motion of the crane system within time-varying spatial domain is derived via calculus of variation and Hamilton’s principle. Variable-time modified Galerkin method has been used to discretize the non-linear system. State sp
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Reports on the topic "Time- space partial differential equation"

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Patera, Anthony T. Parameter Space: The Final Frontier. Certified Reduced Basis Methods for Real-Time Reliable Solution of Parametrized Partial Differential Equations. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada467167.

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