Relevant bibliographies by topics / Higher order differential analysis

Contents

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

Academic literature on the topic 'Higher order differential analysis'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Higher order differential analysis"

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Astashova, Irina, Miroslav Bartušek, Zuzana Došlá, and Mauro Marini. "Asymptotic proximity to higher order nonlinear differential equations." Advances in Nonlinear Analysis 11, no. 1 (2022): 1598–613. http://dx.doi.org/10.1515/anona-2022-0254.

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Abstract The existence of unbounded solutions and their asymptotic behavior is studied for higher order differential equations considered as perturbations of certain linear differential equations. In particular, the existence of solutions with polynomial-like or noninteger power-law asymptotic behavior is proved. These results give a relation between solutions to nonlinear and corresponding linear equations, which can be interpreted, roughly speaking, as an asymptotic proximity between the linear case and the nonlinear one. Our approach is based on the induction method, an iterative process an
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Wang, Peiguang, and Hai Cai. "Oscillatory Criteria for Higher Order Functional Differential Equations with Damping." Journal of Function Spaces and Applications 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/968356.

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We investigate a class of higher order functional differential equations with damping. By using a generalized Riccati transformation and integral averaging technique, some oscillation criteria for the differential equations are established.
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Jiang, Guojing, Wei Sun, Zhefu An, and Liangshi Zhao. "A higher order nonlinear neutral differential equation." Journal of Nonlinear Sciences and Applications 12, no. 10 (2019): 675–98. http://dx.doi.org/10.22436/jnsa.012.10.06.

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Li, Wen-Ming. "The higher order differential operators in direct sum spaces." Journal of Differential Equations 84, no. 2 (1990): 273–89. http://dx.doi.org/10.1016/0022-0396(90)90079-5.

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Cardin, Franco, Cristina Giannotti, and Andrea Spiro. "Control problems with differential constraints of higher order." Nonlinear Analysis 207 (June 2021): 112263. http://dx.doi.org/10.1016/j.na.2021.112263.

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Kiguradze, I. T., and T. I. Kiguradze. "Oscillation Properties of Higher-Order Sublinear Differential Equations." Differential Equations 54, no. 12 (2018): 1545–59. http://dx.doi.org/10.1134/s0012266118120029.

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Liu, Yuji, Pinghua Yang, and Weigao Ge. "Periodic solutions of higher-order delay differential equations." Nonlinear Analysis: Theory, Methods & Applications 63, no. 1 (2005): 136–52. http://dx.doi.org/10.1016/j.na.2005.04.038.

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Hwang, Seok. "Kinetic decomposition for singularly perturbed higher order partial differential equations." Journal of Differential Equations 200, no. 2 (2004): 191–205. http://dx.doi.org/10.1016/j.jde.2003.12.001.

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Tang, Shuhong, Akbar Zada, Shah Faisal, M. M. A. El-Sheikh, and Tongxing Li. "Stability of higher-order nonlinear impulsive differential equations." Journal of Nonlinear Sciences and Applications 09, no. 06 (2016): 4713–21. http://dx.doi.org/10.22436/jnsa.009.06.110.

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Remling, Christian. "Spectral Analysis of Higher-Order Differential Operators II: Fourth-Order Equations." Journal of the London Mathematical Society 59, no. 1 (1999): 188–206. http://dx.doi.org/10.1112/s0024610799007012.

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Dissertations / Theses on the topic "Higher order differential analysis"

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Tjomsland, Mathias Farvolden. "Isogeometric Analysis : Higher-Order Differential Equations." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2013. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-24137.

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This thesis introduces Isogeometric Analysis as a potentional bridge between the Finite Element Analysis (FEA) and Computer Aided Design (CAD) communities. An introduction to B-splines and B-spline-based Isogeometric Analysis is given. Then an implemented Isogeometric Analysis solver is used to solve both the Poisson problem and the higher order Biharmonic equation on the unit square. The significant convergence results for Isogeometric Analysis is verified in both cases. Lastly, the highly non-linear, and stiff, Cahn-Hilliard equation is studied. The implemented solver is used to show good re
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Muller, Jacob. "Higher order differential operators on graphs." Licentiate thesis, Stockholms universitet, Matematiska institutionen, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-178070.

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This thesis consists of two papers, enumerated by Roman numerals. The main focus is on the spectral theory of <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?n" />-Laplacians. Here, an <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?n" />-Laplacian, for integer <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?n" />, refers to a metric graph equipped with a differential operator whose differential expression is the <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?2n" />-th derivative. In Paper I, a classification of all vertex conditions corresponding to self-a
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Altintan, Derya. "An Extension To The Variational Iteration Method For Systems And Higher-order Differential Equations." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613864/index.pdf.

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It is obvious that differential equations can be used to model real-life problems. Although it is possible to obtain analytical solutions of some of them, it is in general difficult to find closed form solutions of differential equations. Finding thus approximate solutions has been the subject of many researchers from different areas. In this thesis, we propose a new approach to Variational Iteration Method (VIM) to obtain the solutions of systems of first-order differential equations. The main contribution of the thesis to VIM is that proposed approach uses restricted variations only for the
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Bright, Theresa Ann. "New solutions to the euler equations using lie group analysis and high order numerical techniques." Diss., Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/29990.

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Ellis, Truman Everett. "High Order Finite Elements for Lagrangian Computational Fluid Dynamics." DigitalCommons@CalPoly, 2010. https://digitalcommons.calpoly.edu/theses/282.

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A general finite element method is presented to solve the Euler equations in a Lagrangian reference frame. This FEM framework allows for separate arbitrarily high order representation of kinematic and thermodynamic variables. An accompanying hydrodynamics code written in Matlab is presented as a test-bed to experiment with various basis function choices. A wide range of basis function pairs are postulated and a few choices are developed further, including the bi-quadratic Q2-Q1d and Q2-Q2d elements. These are compared with a corresponding pair of low order bi-linear elements, traditional Q1-Q0
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Dai, Ruxin. "Richardson Extrapolation-Based High Accuracy High Efficiency Computation for Partial Differential Equations." UKnowledge, 2014. http://uknowledge.uky.edu/cs_etds/20.

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In this dissertation, Richardson extrapolation and other computational techniques are used to develop a series of high accuracy high efficiency solution techniques for solving partial differential equations (PDEs). A Richardson extrapolation-based sixth-order method with multiple coarse grid (MCG) updating strategy is developed for 2D and 3D steady-state equations on uniform grids. Richardson extrapolation is applied to explicitly obtain a sixth-order solution on the coarse grid from two fourth-order solutions with different related scale grids. The MCG updating strategy directly computes a si
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Heuer, Christof. "High-order compact finite difference schemes for parabolic partial differential equations with mixed derivative terms and applications in computational finance." Thesis, University of Sussex, 2014. http://sro.sussex.ac.uk/id/eprint/49800/.

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This thesis is concerned with the derivation, numerical analysis and implementation of high-order compact finite difference schemes for parabolic partial differential equations in multiple spatial dimensions. All those partial differential equations contain mixed derivative terms. The resulting schemes have been applied to equations appearing in computational finance. First, we develop and study essentially high-order compact finite difference schemes in a general setting with option pricing in stochastic volatility models on non-uniform grids as application. The schemes are fourth-order accur
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Arthurs, Christopher J. "Efficient simulation of cardiac electrical propagation using adaptive high-order finite elements." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:ad31f06f-c4ed-4c48-b978-1ef3b12fe7a1.

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This thesis investigates the high-order hierarchical finite element method, also known as the finite element p-version, as a computationally-efficient technique for generating numerical solutions to the cardiac monodomain equation. We first present it as a uniform-order method, and through an a priori error bound we explain why the associated cardiac cell model must be thought of as a PDE and approximated to high-order in order to obtain the accuracy that the p-version is capable of. We perform simulations demonstrating that the achieved error agrees very well with the a priori error bound. Fu
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Pal, Kamal K. "Higher order numerical methods for fractional order differential equations." Thesis, University of Chester, 2015. http://hdl.handle.net/10034/613354.

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Sayi, Mbani T. "High Accuracy Fitted Operator Methods for Solving Interior Layer Problems." University of the Western Cape, 2020. http://hdl.handle.net/11394/7320.

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Philosophiae Doctor - PhD<br>Fitted operator finite difference methods (FOFDMs) for singularly perturbed problems have been explored for the last three decades. The construction of these numerical schemes is based on introducing a fitting factor along with the diffusion coefficient or by using principles of the non-standard finite difference methods. The FOFDMs based on the latter idea, are easy to construct and they are extendible to solve partial differential equations (PDEs) and their systems. Noting this flexible feature of the FOFDMs, this thesis deals with extension of these metho
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Books on the topic "Higher order differential analysis"

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Obolashvili, Elena. Higher Order Partial Differential Equations in Clifford Analysis. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0015-4.

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Obolashvili, Elena. Higher Order Partial Differential Equations in Clifford Analysis: Effective Solutions to Problems. Birkhäuser Boston, 2003.

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Miron, Radu. The geometry of higher-order Lagrange spaces: Applications to mechanics and physics. Kluwer Academic, 1997.

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author, Mitidieri Enzo, and Pokhozhaev S. I. author, eds. Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. CRC Press, Taylor & Francis Group, 2015.

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Zhukova, Galina. Differential equations. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072180.

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The textbook presents the theory of ordinary differential equations constituting the subject of the discipline "Differential equations". Studied topics: differential equations of first, second, arbitrary order; differential equations; integration of initial and boundary value problems; stability theory of solutions of differential equations and systems. Introduced the basic concepts, proven properties of differential equations and systems. The article presents methods of analysis and solutions. We consider the applications of the obtained results, which are illustrated on a large number of spe
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Zhukova, Galina. Differential equations: examples and tasks. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072182.

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To master the skills of solving examples and problems of the course "Ordinary differential equations" proposed a cycle of workshops covering the topics: differential equations of first, second, n-th orders; systems of linear differential equations; integration of initial and boundary value problems; stability theory. Given the large number of examples and tasks for independent operation with answers. This sample tests with solutions and analysis.&#x0D; It is recommended that teachers, postgraduates and students of higher educational institutions studying differential equations.
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Nahmod, Andrea R. Recent advances in harmonic analysis and partial differential equations: AMS special sessions, March 12-13, 2011, Statesboro, Georgia : the JAMI Conference, March 21-25, 2011, Baltimore, Maryland. Edited by American Mathematical Society and JAMI Conference (2011 : Baltimore, Md.). American Mathematical Society, 2012.

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Barndorff-Nielsen, O. E. Derivative strings and higher order differentiation. Dept. of Theoretical Statistics, Institute of Mathematics, University of Aarhus, 1988.

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Kedem, Benjamin. Time series analysis by higher order crossings. IEEE Press, 1994.

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Lawrence, Marple S., IEEE Educational Activities Board, and IEEE Signal Processing Society, eds. High-resolution and higher-order spectral analysis. IEEE, 1990.

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Book chapters on the topic "Higher order differential analysis"

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Noor, Muhammad Aslam, and Khalida Inayat Noor. "Higher Order Strongly m-convex Functions." In Nonlinear Analysis, Differential Equations, and Applications. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72563-1_14.

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Noor, Muhammad Aslam, Khalida Inayat Noor, and Michael Th Rassias. "Characterizations of Higher Order Strongly Generalized Convex Functions." In Nonlinear Analysis, Differential Equations, and Applications. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72563-1_15.

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Horikis, Theodoros P., Nikos I. Karachalios, and Dimitrios J. Frantzeskakis. "Dynamics of a Higher-Order Ginzburg–Landau-Type Equation." In Nonlinear Analysis, Differential Equations, and Applications. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72563-1_9.

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Ustinov, Eugene A. "Sensitivity Analysis of Models with Higher-Order Differential Equations." In Sensitivity Analysis in Remote Sensing. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15841-9_7.

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Obolashvili, Elena. "Hyperbolic and Plurihyperbolic Equations in Clifford Analysis." In Higher Order Partial Differential Equations in Clifford Analysis. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0015-4_3.

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Obolashvili, Elena. "Parabolic and Pluriparabolic Equations in Clifford Analysis." In Higher Order Partial Differential Equations in Clifford Analysis. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0015-4_4.

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Lumiste, Ülo. "On Submanifolds with parallel higher order fundamental form in euclidean spaces." In Global Differential Geometry and Global Analysis. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0083636.

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Obolashvili, Elena. "Two-Dimensional Cases." In Higher Order Partial Differential Equations in Clifford Analysis. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0015-4_1.

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Obolashvili, Elena. "Multidimensional Cases." In Higher Order Partial Differential Equations in Clifford Analysis. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0015-4_2.

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Obolashvili, Elena. "Epilogue." In Higher Order Partial Differential Equations in Clifford Analysis. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0015-4_5.

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Conference papers on the topic "Higher order differential analysis"

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Olanrewaju, Abraham Femi, Sunday Emmanuel Fadugba, and Stephen Oluwole Ikubanni. "Development and Analysis of a Novel Six-Step Numerical Technique For Solving Higher Order Fredholm integro-Differential Equations." In 2024 International Conference on Science, Engineering and Business for Driving Sustainable Development Goals (SEB4SDG). IEEE, 2024. http://dx.doi.org/10.1109/seb4sdg60871.2024.10629698.

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Rouxel, A., A. Monmayrant, S. Calvez, and O. Gauthier-Lafaye. "Selective modal excitation of a nanophotonic cavity with a programmable phase mask." In Adaptive Optics: Methods, Analysis and Applications. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/aopt.2024.of4f.2.

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Selective spatial mode excitation of a grating-coupled multimode micro-cavity is achieved using an incident beam shaped with a programmable phase mask. Real-time control of the phase mask coupled to differential evolution algorithm allows access to individual modes with high selectivity up to the tenth order.
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Fragkoulis, V. C., I. A. Kougioumtzoglou, A. A. Pantelous, and A. Pirrotta. "Higher order matrix differential equations with singular coefficient matrices." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912578.

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Frochte, Jörg. "An Adaptive Higher Order Method in Time for Partial Integro‐Differential Equations." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990894.

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Ospanov, Kordan N. "Nonlocal estimates for solutions of a singular higher order differential equation." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4959647.

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Nečasová, 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.

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Caban, Lena, and Artur Tyliszczak. "High-order compact difference schemes with a spectral-like accuracy for differential equations containing higher order derivatives." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0162057.

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Altay, Nejla, and Metin Demi̇ralp. "Application of Fluctuationlessness Theorem on the Numerical Solution of Higher Order Linear Ordinary Differential Equations." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990978.

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Tzekis, P., E. Antoniou, and A. Pantelous. "On the Response of LTI Higher Order Differential-Algebraic Systems with Perturbed Coefficients 1." In Second International Conference on Vulnerability and Risk Analysis and Management (ICVRAM) and the Sixth International Symposium on Uncertainty, Modeling, and Analysis (ISUMA). American Society of Civil Engineers, 2014. http://dx.doi.org/10.1061/9780784413609.105.

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LI, CHUNHONG, and YONGXING GU. "THE HYPER-ORDER OF SOLUTIONS OF CERTAIN HIGH ORDER DIFFERENTIAL EQUATIONS." In Proceedings of the 13th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812773159_0011.

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Reports on the topic "Higher order differential analysis"

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Wilson, Gary R., and Keith R. Hardwicke. Nonstationary Higher Order Spectral Analysis. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada246580.

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Kenny, Joseph P., Brett William Bader, and Tamara Gibson Kolda. Higher-order web link analysis using multilinear algebra. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/974401.

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Matsumoto, Hiroyuki, Hisami Ohishi, and Shinji Yamakawa. Sound Analysis of Vehicle by Higher Order Spectra. SAE International, 2005. http://dx.doi.org/10.4271/2005-08-0024.

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Johnson E. C., I. Ben-Zvi, H. Hahn, L. Hammons, and W. Xu. Higher order mode analysis at the BNL Energy Recovery Linac. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1061979.

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Johnson, E. C., I. Ben-Zvi, H. Hahn, L. Hammons, and W. Xu. Higher-order mode analysis at the BNL Energy Recovery Linac. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1025507.

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Minion, Michael. Higher-Order, Space-Time Adaptive Finite Volume Methods: Algorithms, Analysis and Applications. Office of Scientific and Technical Information (OSTI), 2014. http://dx.doi.org/10.2172/1129758.

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Marques, Carlos, B. P. Xiao, and S. Belomestnykh. Double Quarter Wave Crab Cavity Field Profile Analysis and Higher Order Mode Characterization. Office of Scientific and Technical Information (OSTI), 2014. http://dx.doi.org/10.2172/1154889.

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Nikias, C. L., and Jerry M. Mendel. Workshop on Higher-Order Spectral Analysis Held at Vail, Colorado on 28- 30 June 1989. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada215849.

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Wu, Qiong, B. Xiao, S. De Silva, and Z. Li. Higher Order Multipole Analysis of Beam Crabbing Mode at 197 MHz for Electron-Ion Collider. Office of Scientific and Technical Information (OSTI), 2024. http://dx.doi.org/10.2172/2331236.

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Ioup, George E., Juliette W. Ioup, Lisa A. Pflug, and Pam M. Jackson. Higher Order Statistical Analysis of Ocean Noise Measurements for Performance Prediction. First Analysis of SWellEX-3 Noise Characteristics. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada307052.

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