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Found 109 Documents (Results 1–100)

Discovering Artificial Viscosity Models for Discontinuous Galerkin Approximation of Conservation Laws using Physics-Informed Machine Learning. arXiv:2402.16517

Preprint, arXiv:2402.16517 [math.NA] (2024).
MSC:  35L65 65M60 68T01
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A Unified Framework to Enforce, Discover, and Promote Symmetry in Machine Learning. arXiv:2311.00212

Preprint, arXiv:2311.00212 [cs.LG] (2023).
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New relativity in the gravitational universe. The theory of cosmic relativity and its experimental evidence. (English) Zbl 1519.83028

Fundamental Theories of Physics 209. Cham: Springer (ISBN 978-3-031-08934-3/hbk; 978-3-031-08937-4/pbk; 978-3-031-08935-0/ebook). xxi, 485 p. (2022).
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Data assimilation for ocean drift trajectories using massive ensembles and GPUs. (English) Zbl 1454.65089

Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 715-723 (2020).
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Symbolic computation of nonlocal symmetries and nonlocal conservation laws of partial differential equations using the GeM package for Maple. (English) Zbl 1309.74075

Ganghoffer, Jean-François (ed.) et al., Similarity and symmetry methods. Applications in elasticity and mechanics of materials. Lecture notes given at the EUROMECH workshop ‘Similarity, symmetry and group theoretical methods in mechanics, Varna, Bulgaria, June 6–9, 2013. Cham: Springer (ISBN 978-3-319-08295-0/hbk; 978-3-319-08296-7/ebook). Lecture Notes in Applied and Computational Mechanics 73, 165-184 (2014).
MSC:  74S30 68W30 35L65 35Q74
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From parametricity to conservation laws, via Noether’s theorem. (English) Zbl 1284.68162

Proceedings of the 41st ACM SIGPLAN-SIGACT symposium on principles of programming languages, POPL ’14, San Diego, CA, USA, January 22–24, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2544-8). 491-502 (2014).
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Visualizing invariant manifolds in area-preserving maps. (English) Zbl 1248.68159

Peikert, Ronald (ed.) et al., Topological methods in data analysis and visualization II. Theory, algorithms, and applications. Based on the 4th workshop on topology-based methods in data analysis and visualization, TopoInVis 2011, Zurich, Switzerland, April 4–6, 2011. Berlin: Springer (ISBN 978-3-642-23174-2/hbk; 978-3-642-23175-9/ebook). Mathematics and Visualization, 109-124 (2012).
MSC:  68N99 37K05
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Symbolic computation of conservation laws, generalized symmetries, and recursion operators for nonlinear differential-difference equations. (English) Zbl 1245.34001

Luo, Albert C.J. (ed.) et al., Dynamical systems and methods. Based on the 3rd conference on nonlinear science and complexity (NSC), Ankara, Turkey, July 27–31, 2010. Berlin: Springer (ISBN 978-1-4614-0453-8/hbk; 978-1-4614-0454-5/ebook). 153-168 (2012).
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On invariant manifolds of Lagrange systems. (English) Zbl 1308.70034

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 13th international workshop, CASC 2011, Kassel, Germany, September 5–9, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-23567-2/pbk). Lecture Notes in Computer Science 6885, 226-238 (2011).
MSC:  70H33 68W30
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Automatic invariant generation for hybrid systems using ideal fixed points. (English) Zbl 1360.34082

Proceedings of the 13th ACM international conference on hybrid systems: computation and control, HSCC 2010, Stockholm, Sweden, April 12–16, 2010. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-60558-955-8). 221-230 (2010).
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On reduction of Lagrange systems. (English) Zbl 1202.70074

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 12th international workshop, CASC 2010, Tsakhkadzor, Armenia, September 6–12, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15273-3/pbk). Lecture Notes in Computer Science 6244, 123-133 (2010).
MSC:  70H33 68W30
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Direct methods and symbolic software for conservation laws of nonlinear equations. (English) Zbl 1210.35164

Yan, Zhenya (ed.), Advances in nonlinear waves and symbolic computation. New York, NY: Nova Science Publishers (ISBN 978-1-60692-260-6). 19-78 (2009).
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CONSLAW: a Maple package to construct the conservation laws for nonlinear evolution equations. (English) Zbl 1108.35030

Wang, Dongming (ed.) et al., Differential equations with symbolic computation. Basel: Birkhäuser (ISBN 3-7643-7368-7/hbk). Trends in Mathematics, 307-325 (2005).
MSC:  35G25 35Q53 37K05 68W30
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Symbolic computation of polynomial conserved densities, generalized symmetries, and recursion operators for nonlinear differential-difference equations. (English) Zbl 1080.65119

Winternitz, P. (ed.) et al., Group theory and numerical analysis. Selected papers based on the presentation at the workshop, Montréal, Canada, May 26–31, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3565-3/pbk). CRM Proceedings and Lecture Notes 39, 133-148 (2005).
MSC:  65P10 35Q58 37J35 37K05 68W30 37K10 37M15 34K28
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Symbolic algorithms for the Painlevé test, special solutions, and recursion operators for nonlinear PDEs. (English) Zbl 1080.65094

Winternitz, P. (ed.) et al., Group theory and numerical analysis. Selected papers based on the presentation at the workshop, Montréal, Canada, May 26–31, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3565-3/pbk). CRM Proceedings and Lecture Notes 39, 17-32 (2005).
MSC:  65M70 35Q53 65Y15 68W30 37K10 37K40 37K05
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Applications of Harten’s framework for multiresolution: From conservation laws to image compression. (With color plate 7). (English) Zbl 0992.65153

Barth, Timothy J. (ed.) et al., Multiscale and multiresolution methods. Theory and applications. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 20, 281-296, 386 (2002).
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