Academic literature on the topic 'Minimal residual methods'

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Journal articles on the topic "Minimal residual methods"

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Liesen, J., M. Rozlozník, and Z. Strakos. "Least Squares Residuals and Minimal Residual Methods." SIAM Journal on Scientific Computing 23, no. 5 (2002): 1503–25. http://dx.doi.org/10.1137/s1064827500377988.

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Bouyouli, R., K. Jbilou, A. Messaoudi, and H. Sadok. "On block minimal residual methods." Applied Mathematics Letters 20, no. 3 (2007): 284–89. http://dx.doi.org/10.1016/j.aml.2006.04.009.

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Starke, Gerhard. "Multilevel Minimal Residual Methods for Nonsymmetric Elliptic Problems." Numerical Linear Algebra with Applications 3, no. 5 (1996): 351–67. http://dx.doi.org/10.1002/(sici)1099-1506(199609/10)3:5<351::aid-nla88>3.0.co;2-#.

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Lin, Yiding, and Valeria Simoncini. "Minimal residual methods for large scale Lyapunov equations." Applied Numerical Mathematics 72 (October 2013): 52–71. http://dx.doi.org/10.1016/j.apnum.2013.04.004.

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Canuto, Claudio, and Alfio Quarteroni. "Preconditioned minimal residual methods for chebyshev spectral calculations." Journal of Computational Physics 60, no. 2 (1985): 315–37. http://dx.doi.org/10.1016/0021-9991(85)90010-5.

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Eiermann, Michael, Oliver G. Ernst, and Olaf Schneider. "Analysis of acceleration strategies for restarted minimal residual methods." Journal of Computational and Applied Mathematics 123, no. 1-2 (2000): 261–92. http://dx.doi.org/10.1016/s0377-0427(00)00398-8.

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Herrera, Alex F., and Philippe Armand. "Minimal Residual Disease Assessment in Lymphoma: Methods and Applications." Journal of Clinical Oncology 35, no. 34 (2017): 3877–87. http://dx.doi.org/10.1200/jco.2017.74.5281.

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Standard methods for disease response assessment in patients with lymphoma, including positron emission tomography and computed tomography scans, are imperfect. In other hematologic malignancies, particularly leukemias, the ability to detect minimal residual disease (MRD) is increasingly influencing treatment paradigms. However, in many subtypes of lymphoma, the application of MRD assessment techniques, like flow cytometry or polymerase chain reaction–based methods, has been challenging because of the absence of readily detected circulating disease or canonic chromosomal translocations. Newer
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Simoncini, Valeria, and Daniel B. Szyld. "New conditions for non-stagnation of minimal residual methods." Numerische Mathematik 109, no. 3 (2008): 477–87. http://dx.doi.org/10.1007/s00211-008-0145-y.

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Faderl, Stefan, Razelle Kurzrock, and Zeev Estrov. "Minimal Residual Disease in Hematologic Disorders." Archives of Pathology & Laboratory Medicine 123, no. 11 (1999): 1030–34. http://dx.doi.org/10.5858/1999-123-1030-mrdihd.

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Abstract In almost no other area of medical oncology has the introduction of new drugs, combinations of chemotherapeutic agents, and novel biologic treatments caused such dramatic responses as it has in the treatment of malignant hematologic disorders. However, despite some therapeutic success, many patients relapse and die from recurrence of their disease. The implications of minimal residual disease (MRD), a term referring to disease that is undetectable by conventional morphologic methods, have therefore attracted increasing attention in recent years. New and powerful laboratory tools such
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NAKAYAMA, Katsuyuki, Yoshitaka SAKAMURA, and Tateyuki SUZUKI. "Numerical calculation of compressible flows using generalized minimal residual methods." Proceedings of Conference of Hokuriku-Shinetsu Branch 2003.40 (2003): 113–14. http://dx.doi.org/10.1299/jsmehs.2003.40.113.

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Dissertations / Theses on the topic "Minimal residual methods"

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Ernst, Oliver G. "Minimal and orthogonal residual methods and their generalizations for solving linear operator equations." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek &quot;Georgius Agricola&quot, 2009. http://nbn-resolving.de/urn:nbn:de:swb:105-3293998.

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This thesis is concerned with the solution of linear operator equations by projection methods known as minimal residual (MR) and orthogonal residual (OR) methods. We begin with a rather abstract framework of approximation by orthogonal and oblique projection in Hilbert space. When these approximation schemes are applied to sequences of nested spaces, with a simple requirement relating trial and test spaces in case of the OR method, one can derive at this rather general level the basic relations which have been proved for many specific Krylov subspace methods for solving linear systems of equat
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Ernst, Oliver G. "Minimal and orthogonal residual methods and their generalizations for solving linear operator equations." Doctoral thesis, [S.l. : s.n.], 2000. https://tubaf.qucosa.de/id/qucosa%3A22355.

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This thesis is concerned with the solution of linear operator equations by projection methods known as minimal residual (MR) and orthogonal residual (OR) methods. We begin with a rather abstract framework of approximation by orthogonal and oblique projection in Hilbert space. When these approximation schemes are applied to sequences of nested spaces, with a simple requirement relating trial and test spaces in case of the OR method, one can derive at this rather general level the basic relations which have been proved for many specific Krylov subspace methods for solving linear systems of equat
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Nilsson, Martin. "Fast Numerical Techniques for Electromagnetic Problems in Frequency Domain." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3884.

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Hixon, Ray. "Application of a generalized minimal residual method to the calculation of 2D and 3D unsteady flows." Diss., Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/12961.

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Nachtigal, Noël Maurice. "A look-ahead variant of the Lanczos algorithm and its application to the quasi-minimal residual method for non-Hermitian linear systems." Thesis, Massachusetts Institute of Technology, 1991. http://hdl.handle.net/1721.1/13516.

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Sadek, El Mostafa. "Méthodes itératives pour la résolution d'équations matricielles." Thesis, Littoral, 2015. http://www.theses.fr/2015DUNK0434/document.

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Nous nous intéressons dans cette thèse, à l’étude des méthodes itératives pour la résolutiond’équations matricielles de grande taille : Lyapunov, Sylvester, Riccati et Riccatinon symétrique.L’objectif est de chercher des méthodes itératives plus efficaces et plus rapides pour résoudreles équations matricielles de grande taille. Nous proposons des méthodes itérativesde type projection sur des sous espaces de Krylov par blocs Km(A, V ) = Image{V,AV, . . . ,Am−1V }, ou des sous espaces de Krylov étendus par blocs Kem(A, V ) = Image{V,A−1V,AV,A−2V,A2V, · · · ,Am−1V,A−m+1V } . Ces méthodes sont gén
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Odland, Tove. "On Methods for Solving Symmetric Systems of Linear Equations Arising in Optimization." Doctoral thesis, KTH, Optimeringslära och systemteori, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-166675.

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In this thesis we present research on mathematical properties of methods for solv- ing symmetric systems of linear equations that arise in various optimization problem formulations and in methods for solving such problems. In the first and third paper (Paper A and Paper C), we consider the connection be- tween the method of conjugate gradients and quasi-Newton methods on strictly convex quadratic optimization problems or equivalently on a symmetric system of linear equa- tions with a positive definite matrix. We state conditions on the quasi-Newton matrix and the update matrix such that the se
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Adout, Robert. "Sur l'extrapolation et la convergence de la méthode GMRES." Paris 6, 2005. http://www.theses.fr/2005PA066258.

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Uriarte, Sabín Leticia. "Inverse Heat Conduction problem of the Quenching a Rotary Cylinder by Multiple Water Impinging Jets." Thesis, Högskolan i Gävle, Avdelningen för byggnadsteknik, energisystem och miljövetenskap, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:hig:diva-36529.

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The thesis deals with solving the time dependent inverse heat conduction and heat transfer problem of the quenching process of a rotary solid cylinder by multiple impinging water jets. The development of such investigation consists of two parts that complement each other. As is the case of any scientific experiment, first of all, an initial hypothesis will be set to be demonstrated theoretically. The numerical validation is carried out with a series of artificial cooling curve data and sensitivity analyses in the inverse solution. Then, a series of recorded temperature data were implemented in
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Ernst, Oliver G. [Verfasser]. "Minimal and orthogonal residual methods and their generalizations for solving linear operator equations / vorgelegt von Oliver G. Ernst." 2000. http://d-nb.info/962291358/34.

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Books on the topic "Minimal residual methods"

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service), SpringerLink (Online, ed. L1-Norm and L∞-Norm Estimation: An Introduction to the Least Absolute Residuals, the Minimax Absolute Residual and Related Fitting Procedures. Springer Berlin Heidelberg, 2013.

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QMR: A quasi-minimal residual method for non-Hermitian linear systems. Research Institute for Advanced Computer Science, NASA Ames Research Center, 1990.

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Research Institute for Advanced Computer Science (U.S.), ed. QMR: A quasi-minimal residual method for non-Hermitian linear systems. Research Institute for Advanced Computer Science, NASA Ames Research Center, 1990.

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Research Institute for Advanced Computer Science (U.S.), ed. A look-ahead variant of the Lanczos algorithm and its application to the quasi-minimal residual method for non-Hermitian linear systems. Research Institute for Advanced Computer Science, NASA Ames Research Center, 1991.

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Research Institute for Advanced Computer Science (U.S.), ed. A look-ahead variant of the Lanczos algorithm and its application to the quasi-minimal residual method for non-Hermitian linear systems. Research Institute for Advanced Computer Science, NASA Ames Research Center, 1991.

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Research Institute for Advanced Computer Science (U.S.), ed. A look-ahead variant of the Lanczos algorithm and its application to the quasi-minimal residual method for non-Hermitian linear systems. Research Institute for Advanced Computer Science, NASA Ames Research Center, 1991.

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Book chapters on the topic "Minimal residual methods"

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San Miguel, J. F., and J. J. M. van Dongen. "Methods for Detection of Minimal Residual Disease." In Acute Leukemias VI. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60377-8_51.

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Mason, Joanne, and Mike Griffiths. "Detection of Minimal Residual Disease in Leukaemia by RT-PCR." In Methods in Molecular Biology. Humana Press, 2010. http://dx.doi.org/10.1007/978-1-60761-947-5_18.

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Freund, Roland W. "Transpose-Free Quasi-Minimal Residual Methods for Non-Hermitian Linear Systems." In Recent Advances in Iterative Methods. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4613-9353-5_6.

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Drandi, Daniela, Simone Ferrero, and Marco Ladetto. "Droplet Digital PCR for Minimal Residual Disease Detection in Mature Lymphoproliferative Disorders." In Methods in Molecular Biology. Springer New York, 2018. http://dx.doi.org/10.1007/978-1-4939-7778-9_14.

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Freund, Roland W. "Quasi-Kernel Polynomials and Convergence Results for Quasi-Minimal Residual Iterations." In Numerical Methods in Approximation Theory, Vol. 9. Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-8619-2_5.

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Roberts, W. Mark, Zeev Estrov, Geoffrey R. Kitchingman, and Theodore F. Zipf. "Detection of minimal residual disease in all: biology, methods, and applications." In Cancer Treatment and Research. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4613-1261-1_8.

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Böttcher, Sebastian. "Minimal Residual Disease Quantification in Chronic Lymphocytic Leukemia: Clinical Significance and Flow Cytometric Methods." In Methods in Molecular Biology. Springer New York, 2018. http://dx.doi.org/10.1007/978-1-4939-8876-1_17.

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Corradini, Paolo, and Cristiana Carniti. "Molecular Methods for Detection of Minimal Residual Disease Following Transplantation in Lymphoid and Plasma Cell Disorders." In Methods in Molecular Biology. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-9437-9_12.

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Feuerriegel, Stefan, and H. Martin Bücker. "Synchronization-Reducing Variants of the Biconjugate Gradient and the Quasi-Minimal Residual Methods." In Algorithms and Architectures for Parallel Processing. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-03859-9_19.

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Liu, Jiang, and Jin Wang. "Minimal Residual Based Iterative Methods and Its Parallel Implementation for Sparse Linear Systems." In Communications in Computer and Information Science. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-1877-2_7.

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Conference papers on the topic "Minimal residual methods"

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Zee, K., I. Brevis, and I. Muga. "Data-Driven Goal-Oriented Finite Element Methods: A~Machine-Learning Minimal-Residual (ML-MRes) Framework." In 10th International Conference on Adaptative Modeling and Simulation. CIMNE, 2021. http://dx.doi.org/10.23967/admos.2021.032.

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Zhang, Hongbo, Hongchun Wu, and Liangzhi Cao. "Acceleration Technique Using Krylov Subspace Methods for 2D Arbitrary Geometry Characteristics Solver." In 18th International Conference on Nuclear Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/icone18-29420.

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The Generalized Minimal RESidual (GMRES) method, which is a widely-used version of Krylov subspace methods for solving large sparse non-symmetric linear systems, is adopted to accelerate the 2D arbitrary geometry characteristics solver AutoMOC. In this technique, a formulism of linear algebraic equation system for angular flux moments and boundary fluxes is derived as an alternative to traditional characteristics sweep (i.e. inner iteration) formalism, and then the GMRES method is implemented as an efficient linear system solver. Several numerical results demonstrate that the acceleration tech
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Moonga, Kando Hamiyanze, and Tien-Chien Jen. "Residual Stress Characterization From Numerical Analysis of the Multi-Particle Impact Behavior in Cold Spray." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71225.

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In cold spray, bonding forms between a substrate and the particles and between particles through impact deformation at high strain rates. A prominent feature of the cold spray process is the compressive residual stress that arises during the deposition process. Compressive residual stress on the surface can be beneficial for fatigue resistance. As a post processing technique several applications require surface treatment processes that produce this state of stress on component surfaces such as shot peening, laser shock peening, ultrasonic impact treatment, low plasticity burnishing, etc. In al
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Hurrell, P. R., N. A. Leggatt, and R. J. Dennis. "Residual Stress Analysis of Tube Attachment Weld in Pressure Vessel Forging: Comparison of FE Predictions and Measurements." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71315.

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Residual stresses were analysed in a partial penetration weld attaching a tube inside a thick pressure vessel forging, both made of SA508 steel. 2D finite element (FE) analyses methods were used to simulate this multi-pass manual TIG weld. The weld preps are buttered and the forging subsequently heat-treated prior to making the closure weld. Buttering of the forging J-prep and subsequent PWHT creep stress relaxation were modelled. Generally the buttering was found to have minimal influence on the final stress state, although some difference in local peak stress and stress gradients were calcul
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Kersken, Hans-Peter, Christian Frey, Christian Voigt, and Graham Ashcroft. "Time-Linearized and Time-Accurate 3D RANS Methods for Aeroelastic Analysis in Turbomachinery." In ASME Turbo Expo 2010: Power for Land, Sea, and Air. ASMEDC, 2010. http://dx.doi.org/10.1115/gt2010-22940.

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A computational method for performing aeroelastic analysis using either a time-linearized or an unsteady time-accurate solver for the compressible Reynolds averaged Navier-Stokes (RANS) equations is described. The time-linearized solver employs the assumption of small time-harmonic perturbations and is implemented via finite differences of the nonlinear flux routines of the time-accurate solver. The resulting linear system is solved using a parallelized Generalized Minimal Residual (GMRES) method with block-local preconditioning. The time accurate solver uses a dual time stepping algorithm for
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Kumar, Ravi Ranjan, J. M. McDonough, M. P. Mengu¨c¸, and Illayathambi Kunadian. "Performance Comparison of Numerical Procedures for Efficiently Solving a Microscale Heat Transport Equation During Femtosecond Laser Heating of Nanoscale Metal Films." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-79542.

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An alternative discretization and solution procedure for implicitly solving a 3-D microscale heat transport equation during femtosecond laser heating of nanoscale metal films has been developed (Kunadian et al. [1]). The proposed numerical technique directly solves a single partial differential equation, unlike other techniques available in the literature which splits the equation into a system of two equations and then apply discretization. The present paper investigates performance of its split and unsplit methods of solution via numerical experiments using Gauss–Seidel, conjugate gradient,
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Ju, R., W. Fan, and W. D. Zhu. "An Efficient Galerkin Averaging-Incremental Harmonic Balance Method Based on the Fast Fourier Transform and Tensor Contraction." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-24009.

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Abstract An efficient Galerkin averaging-incremental harmonic balance (EGA-IHB) method is developed based on the fast Fourier transform (FFT) and tensor contraction to increase efficiency and robustness of the IHB method when calculating periodic responses of complex nonlinear systems with non-polynomial nonlinearities. As a semi-analytical method, derivation of formulae and programming are significantly simplified in the EGA-IHB method. The residual vector and Jacobian matrix corresponding to nonlinear terms in the EGA-IHB method are expressed using truncated Fourier series. After calculating
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Micallef, Daniel, Duncan Camilleri, and Pierluigi Mollicone. "Simplified Thermo-Elastoplastic Numerical Modelling Techniques Applied to Friction Stir Welding of Mild Steel." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-64387.

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Friction stir welding is a relatively new advanced joining technique that requires minimal power input, ultimately leading to less inherent residual stresses and distortion. The process involves a spinning tool which first plunges into the surface of the, to be welded assembly and then traverses along the joint. Frictional heat is generated, softening the material at temperatures significantly below the melting temperature of the parent material. As the tool traverses along the joint at a predetermined speed, the assembly is joined by means of a plastic straining process. This advanced welding
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Prucka, Robert G., Zoran S. Filipi, Jonathan R. Hagena, and Dennis N. Assanis. "Cycle-by-Cycle Air-to-Fuel Ratio Calculation During Transient Engine Operation Using Fast Response CO and CO2 Sensors." In ASME 2012 Internal Combustion Engine Division Fall Technical Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/icef2012-92094.

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Stringent engine emission regulations highlight the importance of proper engine control during transient operation. In recent years, fast emissions analyzers that measure CO and CO2 simultaneously have allowed for fast air-to-fuel ratio (AFR) calculation under steady-state engine operation. However, using a steady-state methodology to calculate AFR under transient conditions can lead to significant data interpretation errors. This research introduces an experimental cycle-by-cycle AFR calculation routine developed for transient operation using cycle-resolved CO2 and CO analyzers. Need for the
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Francu, Mihai, and Florica Moldoveanu. "Minimum residual methods for cloth simulation." In 2014 18th International Conference on System Theory, Control and Computing (ICSTCC). IEEE, 2014. http://dx.doi.org/10.1109/icstcc.2014.6982474.

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Reports on the topic "Minimal residual methods"

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Chan, Jesse, and John A. Evans. A Minimum-Residual Finite Element Method for the Convection-Diffusion Equation. Defense Technical Information Center, 2013. http://dx.doi.org/10.21236/ada587495.

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