Academic literature on the topic 'Numerical analysis of partial differential equation'
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Journal articles on the topic "Numerical analysis of partial differential equation"
Alharthi, Nadiyah Hussain, Abdon Atangana, and Badr S. Alkahtani. "Numerical analysis of some partial differential equations with fractal-fractional derivative." AIMS Mathematics 8, no. 1 (2022): 2240–56. http://dx.doi.org/10.3934/math.2023116.
Full textKurbonov, Elyorjon, Nodir Rakhimov, Shokhabbos Juraev, and Feruza Islamova. "Derive the finite difference scheme for the numerical solution of the first-order diffusion equation IBVP using the Crank-Nicolson method." E3S Web of Conferences 402 (2023): 03029. http://dx.doi.org/10.1051/e3sconf/202340203029.
Full textSanz-Serna, J. M. "A Numerical Method for a Partial Integro-Differential Equation." SIAM Journal on Numerical Analysis 25, no. 2 (April 1988): 319–27. http://dx.doi.org/10.1137/0725022.
Full textZhao, J., M. S. Cheung, and S. F. Ng. "Spline Kantorovich method and analysis of general slab bridge deck." Canadian Journal of Civil Engineering 25, no. 5 (October 1, 1998): 935–42. http://dx.doi.org/10.1139/l98-030.
Full textPyanylo, Yaroslav, and Galyna Pyanylo. "Analysis of approaches to mass-transfer modeling n non-stationary mode." Physico-mathematical modelling and informational technologies, no. 28, 29 (December 27, 2019): 55–64. http://dx.doi.org/10.15407/fmmit2020.28.055.
Full textAbrashina-Zhadaeva, N., and N. Romanova. "Vector Additive Decomposition for 2D Fractional Diffusion Equation." Nonlinear Analysis: Modelling and Control 13, no. 2 (April 25, 2008): 137–43. http://dx.doi.org/10.15388/na.2008.13.2.14574.
Full textReinfelds, Andrejs, Olgerts Dumbrajs, Harijs Kalis, Janis Cepitis, and Dana Constantinescu. "NUMERICAL EXPERIMENTS WITH SINGLE MODE GYROTRON EQUATIONS." Mathematical Modelling and Analysis 17, no. 2 (April 1, 2012): 251–70. http://dx.doi.org/10.3846/13926292.2012.662659.
Full textCompany, R., L. Jódar, M. Fakharany, and M. C. Casabán. "Removing the Correlation Term in Option Pricing Heston Model: Numerical Analysis and Computing." Abstract and Applied Analysis 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/246724.
Full textKim, Sung-Hoon, and Youn-sik Park. "An Improved Finite Difference Type Numerical Method for Structural Dynamic Analysis." Shock and Vibration 1, no. 6 (1994): 569–83. http://dx.doi.org/10.1155/1994/139352.
Full textRatas, Mart, Andrus Salupere, and Jüri Majak. "SOLVING NONLINEAR PDES USING THE HIGHER ORDER HAAR WAVELET METHOD ON NONUNIFORM AND ADAPTIVE GRIDS." Mathematical Modelling and Analysis 26, no. 1 (January 18, 2021): 147–69. http://dx.doi.org/10.3846/mma.2021.12920.
Full textDissertations / Theses on the topic "Numerical analysis of partial differential equation"
Cinar, Selahittin. "Analysis of a Partial Differential Equation Model of Surface Electromigration." TopSCHOLAR®, 2014. https://digitalcommons.wku.edu/theses/1368.
Full textSundqvist, Per. "Numerical Computations with Fundamental Solutions." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-5757.
Full textOzmen, Neslihan. "Image Segmentation And Smoothing Via Partial Differential Equations." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/12610395/index.pdf.
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model and it is correlated with the Chan-Vese model. In this study, all these approaches have been examined in detail. Mathematical and numerical analysis of these models are studied and some experiments are performed to compare their performance.
Kwok, Ting On. "Adaptive meshless methods for solving partial differential equations." HKBU Institutional Repository, 2009. http://repository.hkbu.edu.hk/etd_ra/1076.
Full textPietschmann, Jan-Frederik. "On some partial differential equation models in socio-economic contexts : analysis and numerical simulations." Thesis, University of Cambridge, 2012. https://www.repository.cam.ac.uk/handle/1810/241495.
Full textvon, Schwerin Erik. "Convergence rates of adaptive algorithms for stochastic and partial differential equations." Licentiate thesis, KTH, Numerical Analysis and Computer Science, NADA, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-302.
Full textZhang, Wei. "Local absorbing boundary conditions for Korteweg-de-Vries-type equations." HKBU Institutional Repository, 2014. https://repository.hkbu.edu.hk/etd_oa/83.
Full textCarlsson, Jesper. "Optimal Control of Partial Differential Equations in Optimal Design." Doctoral thesis, KTH, Numerisk Analys och Datalogi, NADA, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-9293.
Full textDenna avhandling handlar om approximation av optimalt styrda partiella differentialekvationer för inversa problem inom optimal design. Viktiga exempel på sådana problem är optimal materialdesign och parameterskattning. Inom materialdesign är målet att konstruera ett material som uppfyller vissa optimalitetsvillkor, t.ex. att konstruera en så styv balk som möjligt under en given vikt, medan ett exempel på parameterskattning är att hitta den inre strukturen hos ett material genom att applicera ytkrafter och mäta de resulterande förskjutningarna. Problem inom optimal styrning, speciellt för styrning av partiella differentialekvationer,är ofta illa ställa och måste regulariseras för att kunna lösas numeriskt. Teorin för Hamilton-Jacobi-Bellmans ekvationer används här för att konstruera regulariseringar och ge feluppskattningar till problem inom optimaldesign. Den konstruerade Pontryaginmetoden är en enkel och generell metod där det första analytiska steget är att regularisera Hamiltonianen. I nästa steg löses det Hamiltonska systemet effektivt med Newtons metod och en gles Jacobian. Vi härleder även en feluppskattning för skillnaden mellan den exakta och den approximerade målfunktionen. Denna uppskattning beror endast på skillnaden mellan den sanna och den regulariserade, ändligt dimensionella, Hamiltonianen, båda utvärderade längst lösningsbanan och dessL²-projektion. Felet beror alltså ej på skillnaden mellan den exakta och denapproximativa lösningen till det Hamiltonska systemet. Ett annat fall som behandlas är frågan hur indata ska väljas för parameterskattningsproblem. För sådana problem är målet vanligen att bestämma en rumsligt beroende koefficient till en partiell differentialekvation, givet ofullständiga mätningar av lösningen. Här visas att valet av indata, som genererarde ofullständiga mätningarna, påverkar parameterskattningen, och att det är möjligt att formulera meningsfulla optimalitetsvillkor för indata som ökar kvaliteten på parameterskattningen. I avhandlingen presenteras lösningar för diverse tillämpningar inom optimal materialdesign och parameterskattning.
QC 20100712
Le, Gia Quoc Thong. "Approximation of linear partial differential equations on spheres." Texas A&M University, 2003. http://hdl.handle.net/1969.1/22.
Full textCheung, Ka Chun. "Meshless algorithm for partial differential equations on open and singular surfaces." HKBU Institutional Repository, 2016. https://repository.hkbu.edu.hk/etd_oa/278.
Full textBooks on the topic "Numerical analysis of partial differential equation"
Lui, S. H. Numerical analysis of partial differential equations. Hoboken, N.J: Wiley, 2011.
Find full textLui, S. H. Numerical Analysis of Partial Differential Equations. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2011. http://dx.doi.org/10.1002/9781118111130.
Full textLions, Jacques Louis, ed. Numerical Analysis of Partial Differential Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11057-3.
Full textLui, S. H. Numerical analysis of partial differential equations. Hoboken, N.J: Wiley, 2011.
Find full textA, Hall Charles. Numerical analysis of partial differential equations. Englewood Cliffs, N.J: Prentice Hall, 1990.
Find full textLions, J. L. Numerical Analysis of Partial Differential Equations. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.
Find full textEvans, Gwynne A. Analytic Methods for Partial Differential Equations. London: Springer London, 1999.
Find full textMattheij, Robert M. M. Partial differential equations: Modeling, analysis, computation. Philadelphia: Society for Industrial and Applied Mathematics, 2005.
Find full textGrossman, Christian. Numerical treatment of partial differential equations. Germany [1990-onward]: Springer Verlag, 2007.
Find full textEvans, Gwynne. Numerical methods for partial differential equations. London: Springer, 2000.
Find full textBook chapters on the topic "Numerical analysis of partial differential equation"
Madenci, Erdogan, Atila Barut, and Mehmet Dorduncu. "Partial Differential Equations." In Peridynamic Differential Operator for Numerical Analysis, 117–57. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-02647-9_6.
Full textMaury, Bertrand. "Numerical Analysis of a Finite Element/Volume Penalty Method." In Partial Differential Equations, 167–85. Dordrecht: Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-8758-5_9.
Full textBredies, Kristian, and Dirk Lorenz. "Partial Differential Equations in Image Processing." In Applied and Numerical Harmonic Analysis, 171–250. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01458-2_5.
Full textSaha Ray, Santanu. "Numerical Solutions of Partial Differential Equations." In Numerical Analysis with Algorithms and Programming, 591–640. Boca Raton : Taylor & Francis, 2016. | “A CRC title.”: Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9781315369174-10.
Full textFox, William P., and Richard D. West. "Numerical Solutions to Partial Differential Equations." In Numerical Methods and Analysis with Mathematical Modelling, 362–81. Boca Raton: Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781032703671-13.
Full textCasas, Eduardo, and Mariano Mateos. "Optimal Control of Partial Differential Equations." In Computational Mathematics, Numerical Analysis and Applications, 3–59. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49631-3_1.
Full textCapriz, G. "The Numerical Approach to Hydrodynamic Problems." In Numerical Analysis of Partial Differential Equations, 109–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11057-3_4.
Full textVerdi, Claudio. "Stefan Problems and Numerical Analysis." In Analysis and Numerics of Partial Differential Equations, 37–45. Milano: Springer Milan, 2013. http://dx.doi.org/10.1007/978-88-470-2592-9_5.
Full textLasota, A. "Contintent Equations and Boundary Value Problems." In Numerical Analysis of Partial Differential Equations, 255–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11057-3_10.
Full textAlbertoni, S. "Alcuni Metodi di Calcolo Nella Teoria della Diffusione dei Neutroni." In Numerical Analysis of Partial Differential Equations, 2–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11057-3_1.
Full textConference papers on the topic "Numerical analysis of partial differential equation"
Hong, Jialin, and Xiuling Yin. "The well-posedness of a special partial differential equation." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756518.
Full textFrancomano, Elisa, Adele Tortorici, Elena Toscano, Guido Ala, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Multiscale Particle Method in Solving Partial Differential Equations." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790115.
Full textNečasová, Gabriela, and Václav Šátek. "Parallel solution of parabolic partial differential equation using higher-order method." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: ICNAAM2022. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0212373.
Full textCasas, Eduardo, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Symposium on Optimal Control of Partial Differential Equations." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241320.
Full textSandu, Adrian, Emil M. Constantinescu, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Multirate Time Discretizations for Hyperbolic Partial Differential Equations." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241354.
Full textAshyralyev, Allaberen, and Kheireddine Belakroum. "Numerical study of nonlocal BVP for a third order partial differential equation." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0040592.
Full textZhang, Wei, and Shufeng Lu. "Nonlinear Numerical Analysis of Extruding Cantilever Laminated Composite Plates." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70252.
Full textAshyralyev, Allaberen, Kheireddine Belakroum, and Assia Guezane-Lakoud. "Numerical algorithm for the third-order partial differential equation with local boundary conditions." In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000624.
Full textAshyralyev, Allaberen, Kheireddine Belakroum, and Assia Guezane-Lakoud. "Numerical algorithm for the third-order partial differential equation with nonlocal boundary conditions." In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000628.
Full textMiyatake, Yuto, and Takayasu Matsuo. "Energy conservative/dissipative H1-Galerkin semi-discretizations for partial differential equations." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756385.
Full textReports on the topic "Numerical analysis of partial differential equation"
Dahlgren, Kathryn Marie, Francesco Rizzi, Karla Vanessa Morris, and Bert Debusschere. Rexsss Performance Analysis: Domain Decomposition Algorithm Implementations for Resilient Numerical Partial Differential Equation Solvers. Office of Scientific and Technical Information (OSTI), August 2014. http://dx.doi.org/10.2172/1171553.
Full textFrench, Donald A. Numerical Analysis and Computation of Nonlinear Partial Differential Equations from Applied Mathematics. Fort Belvoir, VA: Defense Technical Information Center, November 1993. http://dx.doi.org/10.21236/ada275582.
Full textFrench, Donald A. Numerical Analysis and Computation of Nonlinear Partial Differential Equations from Applied Mathematics. Fort Belvoir, VA: Defense Technical Information Center, October 1990. http://dx.doi.org/10.21236/ada231188.
Full textSparks, Paul, Jesse Sherburn, William Heard, and Brett Williams. Penetration modeling of ultra‐high performance concrete using multiscale meshfree methods. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41963.
Full textGlover, Joseph, and Kai L. Chung. Probablistic Analysis of Semilinear Partial Differential Equation. Fort Belvoir, VA: Defense Technical Information Center, October 1986. http://dx.doi.org/10.21236/ada177314.
Full textMichalopoulos, C. D. PR-175-420-R01 Submarine Pipeline Analysis - Theoretical Manual. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), December 1985. http://dx.doi.org/10.55274/r0012171.
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