Relevant bibliographies by topics / Evolution equations

Academic literature on the topic 'Evolution equations'

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Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "Evolution equations"

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Simon, László. "Second order quasilinear functional evolution equations." Mathematica Bohemica 140, no. 2 (2015): 139–52. http://dx.doi.org/10.21136/mb.2015.144322.

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Vrkoč, Ivo. "Weak averaging of stochastic evolution equations." Mathematica Bohemica 120, no. 1 (1995): 91–111. http://dx.doi.org/10.21136/mb.1995.125891.

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Seidler, Jan, and Ivo Vrkoč. "An averaging principle for stochastic evolution equations. I." Časopis pro pěstování matematiky 115, no. 3 (1990): 240–63. http://dx.doi.org/10.21136/cpm.1990.118403.

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Obrecht, Enrico. "Evolution operators for higher order abstract parabolic equations." Czechoslovak Mathematical Journal 36, no. 2 (1986): 210–22. http://dx.doi.org/10.21136/cmj.1986.102085.

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Maslowski, Bohdan, Jan Seidler, and Ivo Vrkoč. "An averaging principle for stochastic evolution equations. II." Mathematica Bohemica 116, no. 2 (1991): 191–224. http://dx.doi.org/10.21136/mb.1991.126137.

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Ciafaloni, Paolo, and Denis Comelli. "Electroweak evolution equations." Journal of High Energy Physics 2005, no. 11 (November 15, 2005): 022. http://dx.doi.org/10.1088/1126-6708/2005/11/022.

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Wei, Susan, and Victor M. Panaretos. "Empirical evolution equations." Electronic Journal of Statistics 12, no. 1 (2018): 249–76. http://dx.doi.org/10.1214/17-ejs1382.

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Basarab-Horwath, P., V. Lahno, and R. Zhdanov. "Classifying evolution equations." Nonlinear Analysis 47, no. 8 (August 2001): 5135–44. http://dx.doi.org/10.1016/s0362-546x(01)00623-x.

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Lin, Chin-Yuan. "Functional evolution equations." Journal of Mathematical Analysis and Applications 285, no. 2 (September 2003): 463–76. http://dx.doi.org/10.1016/s0022-247x(03)00412-8.

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Gubinelli, Massimiliano, and Samy Tindel. "Rough evolution equations." Annals of Probability 38, no. 1 (January 2010): 1–75. http://dx.doi.org/10.1214/08-aop437.

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Dissertations / Theses on the topic "Evolution equations"

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Zangeneh, Bijan Z. "Semilinear stochastic evolution equations." Thesis, University of British Columbia, 1990. http://hdl.handle.net/2429/31117.

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Let H be a separable Hilbert space. Suppose (Ω, F, Ft, P) is a complete stochastic basis with a right continuous filtration and {Wt,t ∈ R} is an H-valued cylindrical Brownian motion with respect to {Ω, F, Ft, P). U(t, s) denotes an almost strong evolution operator generated by a family of unbounded closed linear operators on H. Consider the semilinear stochastic integral equation [formula omitted] where • f is of monotone type, i.e., ft(.) = f(t, w,.) : H → H is semimonotone, demicon-tinuous, uniformly bounded, and for each x ∈ H, ft(x) is a stochastic process which satisfies certain measurability conditions. • gs(.) is a uniformly-Lipschitz predictable functional with values in the space of Hilbert-Schmidt operators on H. • Vt is a cadlag adapted process with values in H. • X₀ is a random variable. We obtain existence, uniqueness, boundedness of the solution of this equation. We show the solution of this equation changes continuously when one or all of X₀, f, g, and V are varied. We apply this result to find stationary solutions of certain equations, and to study the associated large deviation principles. Let {Zt,t ∈ R} be an H-valued semimartingale. We prove an Ito-type inequality and a Burkholder-type inequality for stochastic convolution [formula omitted]. These are the main tools for our study of the above stochastic integral equation.
Science, Faculty of
Mathematics, Department of
Graduate
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Aterman, R. D. "Two nonlinear evolution equations." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.355778.

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Tudor, Jan. "Stochastic flow and evolution equations." Thesis, University of Oxford, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.547462.

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Ratter, Mark C. "Grammians in nonlinear evolution equations." Thesis, University of Glasgow, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.264153.

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Yilmaz, Halis. "Evolution equations for differential invariants." Thesis, University of Glasgow, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.274288.

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Šipčić, Radica 1972. "Generalized long-wave evolution equations." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/49623.

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Pogan, Alexandru Alin. "Dichotomy theorems for evolution equations." Diss., Columbia, Mo. : University of Missouri-Columbia, 2008. http://hdl.handle.net/10355/6090.

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Thesis (Ph. D.)--University of Missouri-Columbia, 2008.
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on June 22, 2009) Vita. Includes bibliographical references.
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URBANI, CRISTINA. "Bilinear Control of Evolution Equations." Doctoral thesis, Gran Sasso Science Institute, 2020. http://hdl.handle.net/20.500.12571/10061.

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The thesis is devoted to the study of the stabilization and the controllability of the evolution equations $$u'(t) + Au (t) + p (t) Bu (t) = 0$$ by means of a bilinear control $p$. Bilinear controls are coefficients of the equation that multiply the state variable. Multiplicative controls are therefore suitable to describe processes that change their principal parameters in presence of a control. We first present a result of rapid stabilization of the parabolic equations towards the ground state by bilinear control with a doubly exponential rate of convergence. Under stronger hypotheses on the potential $B$, we show results of exact local and global controllability towards the solution of the ground state in arbitrarily small time. We apply these two abstract results to different types of PDE such as the heat equation, or parabolic equations with non-constant coefficients. We then prove local exact controllability of a class of degenerate wave equations relying on a sharp analysis of the spectral properties of the elliptic degenerate operators. We then present a method of constructing multiplicative operators $B$ verifying the sufficient hypotheses required for controllability or stabilization results. This method leads to constructive algorithms of infinite explicit families of such operators $B$. We then prove new controllability results for the Schr{"o}dinger equation with hybrid boundary conditions. We also give applications of our method to parabolic equations leading to results of rapid stabilization, local and global controllability to the ground state which are explicit with respect to the operators $B$.
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Guan, Meijiao. "Global questions for evolution equations Landau-Lifshitz flow and Dirac equation." Thesis, University of British Columbia, 2009. http://hdl.handle.net/2429/22491.

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This thesis concerns the stationary solutions and their stability for some evolution equations from physics. For these equations, the basic questions regarding the solutions concern existence, uniqueness, stability and singularity formation. In this thesis, we consider two different classes of equations: the Landau-Lifshitz equations, and nonlinear Dirac equations. There are two different definitions of stationary solutions. For the Landau-Lifshitz equation, the stationary solution is time-independent, while for the Dirac equation, the stationary solution, also called solitary wave solution or ground state solution, is a solution which propagates without changing its shape. The class of Landau-Lifshitz equations (including harmonic map heat flow and Schrödinger map equations) arises in the study of ferromagnets (and anti-ferromagnets), liquid crystals, and is also very natural from a geometric standpoint. Harmonic maps are the stationary solutions to these equations. My thesis concerns the problems of singularity formation vs. global regularity and long time asymptotics when the target space is a 2-sphere. We consider maps with some symmetry. I show that for m-equivariant maps with energy close to the harmonic map energy, the solutions to Landau-Lifshitz equations are global in time and converge to a specific family of harmonic maps for big m, while for m =1, a finite time blow up solution is constructed for harmonic map heat flow. A model equation for Schrödinger map equations is also studied in my thesis. Global existence and scattering for small solutions and local well-posedness for solutions with finite energy are proved. The existence of standing wave solutions for the nonlinear Dirac equation is studied in my thesis. I construct a branch of solutions which is a continuous curve by a perturbation method. It refines the existing results that infinitely many stationary solutions exist, but with uniqueness and continuity unknown. The ground state solutions of nonlinear Schrodinger equations yield solutions to nonlinear Dirac equations. We also show that this branch of solutions is unstable. This leads to a rigorous proof of the instability of the ground states, confirming non-rigorous results in the physical literature.
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Nguyen, Thieu-Huy. "Functional partial differential equations and evolution semigroups." [S.l.] : [s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=973911344.

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Books on the topic "Evolution equations"

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1953-, Ferreyra Guillermo Segundo, Goldstein Gisèle Ruiz 1958-, Neubrander Frank, and International Conference on Evolution Equations (1992 : Louisiana State University), eds. Evolution equations. New York: M. Dekker, 1995.

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Engelbrecht, Jüri. Nonlinear evolution equations. Harlow, Essex, England: Longman Scientific & Technical, 1988.

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Chang, Shu-Cheng, Bennett Chow, Sun-Chin Chu, and Chang-Shou Lin, eds. Geometric Evolution Equations. Providence, Rhode Island: American Mathematical Society, 2005. http://dx.doi.org/10.1090/conm/367.

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N, Uralʹt͡s︡eva N., ed. Nonlinear evolution equations. Providence, R.I: American Mathematical Society, 1995.

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Chueshov, Igor, and Irena Lasiecka. Von Karman Evolution Equations. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-87712-9.

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Reinhard, Racke, ed. Evolution equations in thermoelasticity. Boca Raton: Chapman & Hall/CRC, 2000.

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N'Guerekata, Gaston M. Handbook of evolution equations. Hauppauge, N.Y: Nova Science Publishers, 2011.

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1953-, N'Guerekata Gaston M., ed. Progress in evolution equations. Hauppauge, N.Y: Nova Science Publishers, 2008.

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I, Vishik M., ed. Attractors of evolution equations. Amsterdam: North-Holland, 1992.

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Linear and nonlinear evolution equations. Hauppauge, N.Y: Nova Science Publishers, 2011.

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Book chapters on the topic "Evolution equations"

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Kuchment, Peter. "Evolution Equations." In Floquet Theory for Partial Differential Equations, 187–262. Basel: Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8573-7_5.

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Papageorgiou, Nikolaos S., and Sophia Th Kyritsi-Yiallourou. "Evolution Equations." In Advances in Mechanics and Mathematics, 691–751. Boston, MA: Springer US, 2009. http://dx.doi.org/10.1007/b120946_10.

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Gaeta, Giuseppe. "Evolution equations." In Nonlinear Symmetries and Nonlinear Equations, 55–82. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1018-1_4.

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Borodzik, Maciej, Paweł Goldstein, Piotr Rybka, and Anna Zatorska-Goldstein. "Evolution Equations." In Problems on Partial Differential Equations, 179–245. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-14734-1_5.

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Gray, William G., and Cass T. Miller. "Evolution Equations." In Advances in Geophysical and Environmental Mechanics and Mathematics, 301–26. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-04010-3_8.

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Lepik, Ülo, and Helle Hein. "Evolution Equations." In Mathematical Engineering, 83–95. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-04295-4_6.

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Chirilă, Adina, Marin Marin, and Andreas Öchsner. "Evolution Equations." In Distribution Theory Applied to Differential Equations, 57–72. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67159-4_5.

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Ibragimov, N. H., W. F. Ames, R. L. Anderson, V. A. Dorodnitsyn, E. V. Ferapontov, R. K. Gazizov, N. H. Ibragimov, and S. R. Svirshchevskii. "Evolution Equations I: Diffusion Equations." In CRC Handbook of Lie Group Analysis of Differential Equations, Volume I, 102–76. Boca Raton: CRC Press, 2023. http://dx.doi.org/10.1201/9781003419808-14.

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Bassanini, Piero, and Alan R. Elcrat. "Abstract Evolution Equations." In Theory and Applications of Partial Differential Equations, 269–89. Boston, MA: Springer US, 1997. http://dx.doi.org/10.1007/978-1-4899-1875-8_6.

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Yagi, Atsushi. "Linear Evolution Equations." In Springer Monographs in Mathematics, 117–76. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04631-5_3.

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Conference papers on the topic "Evolution equations"

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BELITSKY, A. V. "QCD EVOLUTION EQUATIONS." In Phenomenology of Large NC QCD. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776914_0012.

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Li Hongheng and Zhang Xu. "Periodic Controllability of Evolution Equations." In 2007 Chinese Control Conference. IEEE, 2006. http://dx.doi.org/10.1109/chicc.2006.4347436.

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Tian, K., Q. P. Liu, Wen Xiu Ma, Xing-biao Hu, and Qingping Liu. "Supersymmetric fifth order evolution equations." In NONLINEAR AND MODERN MATHEMATICAL PHYSICS: Proceedings of the First International Workshop. AIP, 2010. http://dx.doi.org/10.1063/1.3367084.

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AMANN, HERBERT. "QUASILINEAR PARABOLIC FUNCTIONAL EVOLUTION EQUATIONS." In Proceedings of the 2004 Swiss-Japanese Seminar. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774170_0002.

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Braun, Vladimir. "Evolution equations for light-cone distribution amplitudes of heavy-light hadrons." In QCD Evolution 2016. Trieste, Italy: Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.284.0036.

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Li, Ta-tsien, Long-wei Lin, and José Francisco Rodrigues. "Nonlinear Evolution Equations and Their Applications." In Luso-Chinese Symposium on Nonlinear Evolution Equations and Their Applications. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814527170.

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Wulfman, Carl. "Continuous symmetries of characteristic equations and their associated evolution equations." In Group Theory in Physics: Proceedings of the international symposium held in honor of Professor Marcos Moshinsky. AIP, 1992. http://dx.doi.org/10.1063/1.42844.

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Brockett, R. W., and P. Maragos. "Evolution equations for continuous-scale morphology." In [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing. IEEE, 1992. http://dx.doi.org/10.1109/icassp.1992.226260.

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Iwata, Yoritaka. "Relativistic formulation of abstract evolution equations." In 10th Jubilee International Conference of the Balkan Physical Union. Author(s), 2019. http://dx.doi.org/10.1063/1.5091251.

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Simon, Blake E., John M. Cormack, and Mark F. Hamilton. "Evolution equations for nonlinear Lucassen waves." In 177th Meeting of the Acoustical Society of America. ASA, 2019. http://dx.doi.org/10.1121/2.0001028.

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Reports on the topic "Evolution equations"

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Stuart, Andrew M. Numerical Analysis of Evolution Equations. Fort Belvoir, VA: Defense Technical Information Center, April 1997. http://dx.doi.org/10.21236/ada324354.

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Kallianpur, G., and V. Perez-Abreu. Stochastic Evolution Equations Driven by Nuclear Space Valued Martingales. Fort Belvoir, VA: Defense Technical Information Center, September 1987. http://dx.doi.org/10.21236/ada189342.

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Ervin, Vincent J., William J. Layton, and Monika Neda. Numerical Analysis of Filter Based Stabilization for Evolution Equations. Fort Belvoir, VA: Defense Technical Information Center, January 2010. http://dx.doi.org/10.21236/ada512969.

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Kallianpur, G., and V. Perez-Abreu. Stochastic Evolution Equations with Values on the Dual of a Countably Hilbert Nuclear Space. Fort Belvoir, VA: Defense Technical Information Center, July 1986. http://dx.doi.org/10.21236/ada174876.

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Hart, Carl, and Gregory Lyons. A tutorial on the rapid distortion theory model for unidirectional, plane shearing of homogeneous turbulence. Engineer Research and Development Center (U.S.), July 2022. http://dx.doi.org/10.21079/11681/44766.

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The theory of near-surface atmospheric wind noise is largely predicated on assuming turbulence is homogeneous and isotropic. For high turbulent wavenumbers, this is a fairly reasonable approximation, though it can introduce non-negligible errors in shear flows. Recent near-surface measurements of atmospheric turbulence suggest that anisotropic turbulence can be adequately modeled by rapid-distortion theory (RDT), which can serve as a natural extension of wind noise theory. Here, a solution for the RDT equations of unidirectional plane shearing of homogeneous turbulence is reproduced. It is assumed that the time-varying velocity spectral tensor can be made stationary by substituting an eddy-lifetime parameter in place of time. General and particular RDT evolution equations for stochastic increments are derived in detail. Analytical solutions for the RDT evolution equation, with and without an effective eddy viscosity, are given. An alternative expression for the eddy-lifetime parameter is shown. The turbulence kinetic energy budget is examined for RDT. Predictions by RDT are shown for velocity (co)variances, one-dimensional streamwise spectra, length scales, and the second invariant of the anisotropy tensor of the moments of velocity. The RDT prediction of the second invariant for the velocity anisotropy tensor is shown to agree better with direct numerical simulations than previously reported.
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Layton, W., and C. Trenchea. Stability of the IMEX Methods, CNLF and BDF2-AB2, for Uncoupling Systems of Evolution Equations. Fort Belvoir, VA: Defense Technical Information Center, February 2011. http://dx.doi.org/10.21236/ada538555.

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Gottlieb, Sigal. High Order Strong Stability Preserving Time Discretizations for the Time Evolution of Hyperbolic Partial Differential Equations. Fort Belvoir, VA: Defense Technical Information Center, February 2012. http://dx.doi.org/10.21236/ada564549.

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Cecil, T. C., S. J. Osher, and J. Qian. Simplex Free Adaptive Tree Fast Sweeping and Evolution Methods for Solving Level Set Equations in Arbitrary Dimension. Fort Belvoir, VA: Defense Technical Information Center, May 2005. http://dx.doi.org/10.21236/ada438295.

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Zemach, Charles, and Susan Kurien. Notes from 1999 on computational algorithm of the Local Wave-Vector (LWV) model for the dynamical evolution of the second-rank velocity correlation tensor starting from the mean-flow-coupled Navier-Stokes equations. Office of Scientific and Technical Information (OSTI), November 2016. http://dx.doi.org/10.2172/1332214.

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Yao, J. A Time Dependent ODE Conversion Of The Detonation Shock Dynamics Evolution Equation. Office of Scientific and Technical Information (OSTI), July 2013. http://dx.doi.org/10.2172/1090018.

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