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Relevant bibliographies by topics / Partial differential-algebraic equations (PDAE)

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Academic literature on the topic 'Partial differential-algebraic equations (PDAE)'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Partial differential-algebraic equations (PDAE)"

1

Cantó, Begoña, Carmen Coll, and Elena Sánchez. "Identifiability for a Class of Discretized Linear Partial Differential Algebraic Equations." Mathematical Problems in Engineering 2011 (2011): 1–12. http://dx.doi.org/10.1155/2011/510519.

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This paper presents the use of an iteration method to solve the identifiability problem for a class of discretized linear partial differential algebraic equations. This technique consists in replacing the partial derivatives in the PDAE by differences and analyzing the difference algebraic equations obtained. For that, the theory of discrete singular systems, which involves Drazin inverse matrix, is used. This technique can also be applied to other differential equations in mathematical physics.

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Ghaddar, Chahid. "Rapid Modeling and Parameter Estimation of Partial Differential Algebraic Equations by a Functional Spreadsheet Paradigm." Mathematical and Computational Applications 23, no. 3 (2018): 39. http://dx.doi.org/10.3390/mca23030039.

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We present a systematic spreadsheet method for modeling and optimizing general partial differential algebraic equations (PDAE). The method exploits a pure spreadsheet PDAE solver function design that encapsulates the Method of Lines and permits seamless integration with an Excel spreadsheet nonlinear programming solver. Two alternative least-square dynamical minimization schemes are devised and demonstrated on a complex parameterized PDAE system with discontinues properties and coupled time derivatives. Applying the method involves no more than defining a few formulas that closely parallel the

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Benhammouda, Brahim, Hector Vazquez-Leal, and Arturo Sarmiento-Reyes. "Modified Reduced Differential Transform Method for Partial Differential-Algebraic Equations." Journal of Applied Mathematics 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/279481.

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This work presents the application of the reduced differential transform method (RDTM) to find solutions of partial differential-algebraic equations (PDAEs). Two systems of index-two and index-three are solved to show that RDTM can provide analytical solutions for PDAEs in convergent series form. In addition, we present the posttreatment of the power series solutions with the Laplace-Padé resummation method as a useful technique to find exact solutions. The main advantage of the proposed technique is that it is based on a few straightforward steps and does not generate secular terms or depend

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Jiang, Yushan, and Qingling Zhang. "Estimation and Global Stability Analysis of PDAEs with Singular Time Derivative Matrix and Wetland Conservation Application." Discrete Dynamics in Nature and Society 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/3713864.

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Some partial differential algebraic equations (PDAEs) system with singular time derivative matrices is analyzed. First, by PDE spectrum theory, this system is formulated as infinite-dimensional singular systems. Second, the state space and its properties of the system are built according to descriptor system theory. Third, the admissible property of the PDAEs is given via LMIs. Finally, the developed energy estimation method is proposed to investigate the global stability of PDAEs. The proposed approach is evaluated by an application in numerical simulations on some wetland conservation system

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Petzold, Linda, Shengtai Li, Yang Cao, and Radu Serban. "Sensitivity analysis of differential-algebraic equations and partial differential equations." Computers & Chemical Engineering 30, no. 10-12 (2006): 1553–59. http://dx.doi.org/10.1016/j.compchemeng.2006.05.015.

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März, Roswitha. "Numerical methods for differential algebraic equations." Acta Numerica 1 (January 1992): 141–98. http://dx.doi.org/10.1017/s0962492900002269.

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Kashiwara, Masaki. "Algebraic study of systems of partial differential equations." Mémoires de la Société mathématique de France 1 (1995): 1–72. http://dx.doi.org/10.24033/msmf.377.

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Kashiwara, Masaki. "Algebraic study of systems of partial differential equations." Bulletin de la Société mathématique de France 125, no. 2 (1997): 313. http://dx.doi.org/10.24033/bsmf.2308.

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Martinson, Wade S., and Paul I. Barton. "A Differentiation Index for Partial Differential-Algebraic Equations." SIAM Journal on Scientific Computing 21, no. 6 (2000): 2295–315. http://dx.doi.org/10.1137/s1064827598332229.

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Rang, J., and L. Angermann. "Perturbation index of linear partial differential-algebraic equations." Applied Numerical Mathematics 53, no. 2-4 (2005): 437–56. http://dx.doi.org/10.1016/j.apnum.2004.08.017.

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Dissertations / Theses on the topic "Partial differential-algebraic equations (PDAE)"

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Pierson, Mark A. "Theory and Application of a Class of Abstract Differential-Algebraic Equations." Diss., Virginia Tech, 2005. http://hdl.handle.net/10919/27416.

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We first provide a detailed background of a geometric projection methodology developed by Professor Roswitha Marz at Humboldt University in Berlin for showing uniqueness and existence of solutions for ordinary differential-algebraic equations (DAEs). Because of the geometric and operator-theoretic aspects of this particular method, it can be extended to the case of infinite-dimensional abstract DAEs. For example, partial differential equations (PDEs) are often formulated as abstract Cauchy or evolution problems which we label abstract ordinary differential equations or AODE. Using this abst

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Huck, Christoph. "Perturbation analysis and numerical discretisation of hyperbolic partial differential algebraic equations describing flow networks." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/19596.

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Diese Arbeit beschäftigt sich mit verschiedenen mathematischen Fragestellungen hinsichtlich der Modellierung, Analysis und numerischen Simulation von Gasnetzen. Hierbei liegt der Fokus auf der mathematischen Handhabung von partiellen differential-algebraischen Gleichungen, die mit algebraischen Gleichungen gekoppelt sind. Diese bieten einen einfachen Zugang hinsichtlich der Modellierung von dynamischen Strukturen auf Netzen Somit sind sie insbesondere für Gasnetze geeignet, denen im Zuge der steigenden Bedeutung von erneuerbaren Energien ein gestiegenes Interesse seitens der Öffentlichkeit, Po

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Kashiwara, Masaki D'Agnolo Andrea Schneiders Jean-Pierre. "Algebraic study of systems of partial differential equations /." Marseille (BP 67, 13274 Cedex 9) ; [Paris] : Société mathématique de France, 1995. http://catalogue.bnf.fr/ark:/12148/cb37168718p.

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Tsui, Ka Cheung. "A networked PDE solving environment /." View Abstract or Full-Text, 2003. http://library.ust.hk/cgi/db/thesis.pl?MATH%202003%20TSUI.

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Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2003.<br>Includes bibliographical references (leaves 56-58). Also available in electronic version. Access restricted to campus users.

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Ugail, Hassan, and N. Kirmani. "Method of surface reconstruction using partial differential equations." WSEAS, 2006. http://hdl.handle.net/10454/2750.

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El-Nakla, Jehad A. H. "Finite difference methods for solving mildly nonlinear elliptic partial differential equations." Thesis, Loughborough University, 1987. https://dspace.lboro.ac.uk/2134/10417.

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This thesis is concerned with the solution of large systems of linear algebraic equations in which the matrix of coefficients is sparse. Such systems occur in the numerical solution of elliptic partial differential equations by finite-difference methods. By applying some well-known iterative methods, usually used to solve linear PDE systems, the thesis investigates their applicability to solve a set of four mildly nonlinear test problems. In Chapter 4 we study the basic iterative methods and semiiterative methods for linear systems. In particular, we derive and apply the CS, SOR, SSOR methods

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Gonzalez, Castro Gabriela, and Hassan Ugail. "Shape morphing of complex geometries using partial differential equations." Academy Publisher, 2007. http://hdl.handle.net/10454/2643.

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An alternative technique for shape morphing using a surface generating method using partial differential equations is outlined throughout this work. The boundaryvalue nature that is inherent to this surface generation technique together with its mathematical properties are hereby exploited for creating intermediate shapes between an initial shape and a final one. Four alternative shape morphing techniques are proposed here. The first one is based on the use of a linear combination of the boundary conditions associated with the initial and final surfaces, the second one consists of va

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Neumann, Jens. "Consistency analysis of systems of partial and ordinary differential and algebraic equations." Thesis, Imperial College London, 2003. http://hdl.handle.net/10044/1/7717.

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Aziz, Waleed. "Analytic and algebraic aspects of integrability for first order partial differential equations." Thesis, University of Plymouth, 2013. http://hdl.handle.net/10026.1/1468.

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This work is devoted to investigating the algebraic and analytic integrability of first order polynomial partial differential equations via an understanding of the well-developed area of local and global integrability of polynomial vector fields. In the view of characteristics method, the search of first integrals of the first order partial differential equations P(x,y,z)∂z(x,y) ∂x +Q(x,y,z)∂z(x,y) ∂y = R(x,y,z), (1) is equivalent to the search of first integrals of the system of the ordinary differential equations dx/dt= P(x,y,z), dy/dt= Q(x,y,z), dz/dt= R(x,y,z). (2) The trajectories of (2)

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Kocoglu, Damla [Verfasser], and Stephan [Akademischer Betreuer] Trenn. "Analysis of Systems of Hyperbolic Partial Differential Equations Coupled to Switched Differential Algebraic Equations / Damla Kocoglu ; Betreuer: Stephan Trenn." Kaiserslautern : Technische Universität Kaiserslautern, 2021. http://d-nb.info/1224883853/34.

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Books on the topic "Partial differential-algebraic equations (PDAE)"

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Xu, Xiaoping. Algebraic Approaches to Partial Differential Equations. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36874-5.

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Kashiwara, Masaki. Algebraic study of systems of partial differential equations. Société mathématique de France, 1995.

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3

Non-linear partial differential equations: An algebraic view of generalized solutions. North-Holland, 1990.

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Geometry and arithmetic around Euler partial differential equations. D. Reidel, 1986.

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Mimura, Masayasu, and Takaaki Nishida. Recent topics in nonlinear PDE IV. North-Holland, 1989.

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Society, American Mathematical, and National Science Foundation (U.S.), eds. Analysis of stochastic partial differential equations. Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 2014.

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Przeworska-Rolewicz, Danuta. Logarithms and Antilogarithms: An Algebraic Analysis Approach. Springer Netherlands, 1998.

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8

Asano, N. Algebraic and spectral methods for nonlinear wave equations. Longman Scientific & Technical, 1990.

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Bahri, Abbas. Flow Lines and Algebraic Invariants in Contact Form Geometry. Birkhäuser Boston, 2003.

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Stormark, Olle. Lie's structural approach to PDE systems. Cambridge University Press, 2000.

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Book chapters on the topic "Partial differential-algebraic equations (PDAE)"

1

Epstein, Marcelo. "The Single First-Order Quasi-linear PDE." In Partial Differential Equations. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55212-5_3.

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Taylor, Michael E. "Fourier Analysis, Distributions, and Constant-Coefficient Linear PDE." In Partial Differential Equations I. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7055-8_3.

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Clairambault, Jean. "Partial Differential Equation (PDE), Models." In Encyclopedia of Systems Biology. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4419-9863-7_694.

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Xu, Xiaoping. "Nonlinear Scalar Equations." In Algebraic Approaches to Partial Differential Equations. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36874-5_5.

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Xu, Xiaoping. "Navier–Stokes Equations." In Algebraic Approaches to Partial Differential Equations. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36874-5_9.

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Xu, Xiaoping. "First-Order Ordinary Differential Equations." In Algebraic Approaches to Partial Differential Equations. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36874-5_1.

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Xu, Xiaoping. "Higher Order Ordinary Differential Equations." In Algebraic Approaches to Partial Differential Equations. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36874-5_2.

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Schiesser, W. E. "Introduction to Delay Partial Differential Equations." In Time Delay ODE/PDE Models. CRC Press, 2019. http://dx.doi.org/10.1201/9780367427986-2.

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Xu, Xiaoping. "Boussinesq Equations in Geophysics." In Algebraic Approaches to Partial Differential Equations. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36874-5_8.

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Xu, Xiaoping. "First-Order or Linear Equations." In Algebraic Approaches to Partial Differential Equations. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36874-5_4.

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Conference papers on the topic "Partial differential-algebraic equations (PDAE)"

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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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Polly, James B., and J. M. McDonough. "Application of the Poor Man’s Navier–Stokes Equations to Real-Time Control of Fluid Flow." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-63564.

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Control of fluid flow is an important, and quite underutilized process possessing significant potential benefits ranging from avoidance of separation and stall on aircraft wings and reduction of friction factors in oil and gas pipelines to mitigation of noise from wind turbines. But the Navier–Stokes (N.–S.) equations governing fluid flow consist of a system of time-dependent, multi-dimensional, non-linear partial differential equations (PDEs) which cannot be solved in real time using current, or near-term foreseeable, computing hardware. The poor man’s Navier–Stokes (PMNS) equations comprise

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Reedy, Todd M., and Zachary M. Shoemaker. "Numerical Simulation of Turbulent Water Jet With Experimental Validation." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-69286.

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Many undergraduate and early graduate engineering programs offer courses in numerical analysis to teach students how to solve partial differential equations numerically and fluid mechanics to teach how the Navier-Stokes equations govern fluid phenomena. However, the connection between numerical analysis taught in the classroom and CFD is very rarely made. In an effort to bridge the gap, a simplified CFD simulation was developed to model the diffusion of a two dimensional turbulent water jet. Assumptions were made to simplify the Navier-Stokes equations in cartesian coordinates to arrive at a s

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Cheng, S. Y., Malcolm I. G. Bloor, A. Saia, and Michael J. Wilson. "Blending Between Quadric Surfaces Using Partial Differential Equations." In ASME 1990 Design Technical Conferences. American Society of Mechanical Engineers, 1990. http://dx.doi.org/10.1115/detc1990-0031.

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Abstract The aim of this paper is to further illustrate the application of the PDE method in the field of blend generation, in particular the specification of the boundary conditions and their use in controlling the shape of the blend.

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Kumaresan, N., Kuru Ratnavelu, and Bernardine R. Wong. "Optimal control for fuzzy linear partial differential algebraic equations using Simulink." In 2011 International Conference on Recent Trends in Information Technology (ICRTIT). IEEE, 2011. http://dx.doi.org/10.1109/icrtit.2011.5972291.

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Bao, Wendi, Yongzhong Song, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "A Local RBF-generated Finite Difference Method for Partial Differential Algebraic Equations." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636968.

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Siranosian, Antranik A., Miroslav Krstic, Andrey Smyshlyaev, and Matt Bement. "Gain Scheduling-Inspired Control for Nonlinear Partial Differential Equations." In ASME 2009 Dynamic Systems and Control Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/dscc2009-2532.

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We present a control design method for nonlinear partial differential equations (PDEs) based on a combination of gain scheduling and backstepping theory for linear PDEs. A benchmark first-order hyperbolic system with a destabilizing in-domain nonlinearity is considered first. For this system a nonlinear feedback law based on gain scheduling is derived explicitly, and a statement of stability is presented for the closed-loop system. Control designs are then presented for a string and shear beam PDE, both with Kelvin-Voigt damping and potentially destabilizing free-end nonlinearities. String and

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Carneiro, A. F., and S. F. C. F. Teixeira. "Teaching Partial Differential Equations With Computer-Based Problem Solving." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14898.

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A new approach for solving partial differential equations in the field of heat transfer and fluid mechanics, accompanied by specific software has been developed. Its purpose was to enhance learning effectiveness of Numerical Methods in the post graduate course of Mechanical Engineering and is based upon the use of purpose built software. The packages learned in this course include some commercial codes as, EXCEL, MATLAB and FLUENT. Two other tools, developed at the University of Minho to support the classes of numerical methods, were also used: CoNum and a graphics application PDE v.1. The tea

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Tajima, Shinichi, and Katsusuke Nabeshima. "Computing Grothendieck Point Residues via Solving Holonomic Systems of First Order Partial Differential Equations." In ISSAC '21: International Symposium on Symbolic and Algebraic Computation. ACM, 2021. http://dx.doi.org/10.1145/3452143.3465526.

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Vyasarayani, Chandrika P., Eihab M. Abdel-Rahman, John McPhee, and Stephen Birkett. "Modelling MEMS Resonators Past Pull-In." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-67763.

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In this paper, we develop a mathematical model of an electrostatic MEMS beam undergoing impact with a stationary electrode subsequent to pull-in. We model the contact between the beam and the substrate using a nonlinear foundation of springs and dampers. The system partial differential equation (PDE) is converted into coupled nonlinear ordinary differential equations (ODEs) using the Galerkin method. A numerical solution is obtained by treating all nonlinear terms as external forces.

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Reports on the topic "Partial differential-algebraic equations (PDAE)"

1

Hwang, Kai. Supercomputers for Solving PDE (Partial Differential Equations) Problems. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada186583.

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