Suchergebnisse - Symbolic computation and algebraic computation

Computational aspects of discrete subgroups of Lie groups : Virtual Conference Computational Aspects of Discrete Subgroups of Lie Groups, June 14-18, 2021, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island von Detinko, Alla, Kapovich, Michael, Kontorovich, Alex V., Sarnak, Peter, Schwartz, Richard Evan, Virtual Conference on Computational Aspects of Discrete Subgroups of Lie Groups

“… This volume contains the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held from June 14 to June 18, 2021, …”
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Construction of an endgame rulebook for Sylver Coinage using trees of numerical semigroups von Bras-Amorós, Maria, Moskowitz, Gilad, Ponomarenko, Vadim

“… In this paper we show how the algorithms to explore the tree of numerical semigroups can be used to calculate the winningness of positions in the game of …”
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Special issue on Symbolic and Algebraic Computation: ISSAC 2021 von Chyzak, Frédéric, Labahn, George

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Exact symbolic–numeric computation of planar algebraic curves von Berberich, Eric, Emeliyanenko, Pavel, Kobel, Alexander, Sagraloff, Michael

“… We present a certified and complete algorithm to compute arrangements of real planar algebraic curves …”
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Stable Computations with Gaussian Radial Basis Functions von Fornberg, Bengt, Larsson, Elisabeth, Flyer, Natasha

“… Radial basis function (RBF) approximation is an extremely powerful tool for representing smooth functions in nontrivial geometries since the method is …”
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Truly monolithic algebraic multigrid for fluid-structure interaction von Gee, M. W., Küttler, U., Wall, W. A.

“… Such schemes require good preconditioning to be efficient. We propose two preconditioners that apply algebraic multigrid techniques to the entire fluid …”
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ALTERNATING DIRECTION ALGORITHMS FOR ℓ1-PROBLEMS IN COMPRESSIVE SENSING von JUNFENG YANGT, YIN ZHANG

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A new general algebraic method with symbolic computation to construct new exact analytical solution for a (2 + 1)-dimensional cubic nonlinear Schrödinger equation von Zheng, Ying, Zhang, Yuanyuan, Zhang, Hongqing

“… With the aid of symbolic computation, we choose the (2 + 1)-dimensional cubic nonlinear Schrödinger equation to illustrate the method …”
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Local refinement of analysis-suitable T-splines von Scott, M.A., Li, X., Sederberg, T.W., Hughes, T.J.R.

“… We develop a local refinement algorithm for analysis-suitable T-splines which does not produce excessive propagation of control points. We then demonstrate its …”
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Isogeometric finite element data structures based on Bézier extraction of NURBS von Borden, Michael J., Scott, Michael A., Evans, John A., Hughes, Thomas J. R.

“… We present the B'ezier extraction operator and isogeometric Bézier elements for non‐uniform rational B‐Spline (NURBS)‐based isogeometric analysis. The Bézier …”
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Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators von Al-Mohy, Awad H., Higham, Nicholas J.

“… A new algorithm is developed for computing ..., where A is an n x n matrix and B is ... with ... The algorithm works for any A, its computational cost is …”
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Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations von Miehe, C., Welschinger, F., Hofacker, M.

“… The computational modeling of failure mechanisms in solids due to fracture based on sharp crack discontinuities suffers in situations with complex crack …”
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Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions von Halko, N., Martinsson, P. G., Tropp, J. A.

“… Low-rank matrix approximations, such as the truncated singular value decomposition and the rank-revealing QR decomposition, play a central role in data …”
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A simple and robust three-dimensional cracking-particle method without enrichment von Rabczuk, Timon, Zi, Goangseup, Bordas, Stephane, Nguyen-Xuan, Hung

“… A new robust and efficient approach for modeling discrete cracks in meshfree methods is described. The method is motivated by the cracking-particle method …”
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A phase-field model for cohesive fracture von Verhoosel, Clemens V., de Borst, René

“… SUMMARYIn this paper, a phase‐field model for cohesive fracture is developed. After casting the cohesive zone approach in an energetic framework, which is …”
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Explainable AI Insights for Symbolic Computation: A case study on selecting the variable ordering for cylindrical algebraic decomposition von Pickering, Lynn, del Río Almajano, Tereso, England, Matthew, Cohen, Kelly

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THB-splines: The truncated basis for hierarchical splines von Giannelli, Carlotta, Jüttler, Bert, Speleers, Hendrik

“… The construction of classical hierarchical B-splines can be suitably modified in order to define locally supported basis functions that form a partition of …”
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Theory and Applications of Robust Optimization von Bertsimas, Dimitris, Brown, David B., Caramanis, Constantine

“… In this paper we survey the primary research, both theoretical and applied, in the area of robust optimization (RO). Our focus is on the computational …”
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The extended/generalized finite element method: An overview of the method and its applications von Fries, Thomas-Peter, Belytschko, Ted

“… An overview of the extended/generalized finite element method (GEFM/XFEM) with emphasis on methodological issues is presented. This method enables the accurate …”
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A hierarchical approach to adaptive local refinement in isogeometric analysis von Vuong, A.-V., Giannelli, C., Jüttler, B., Simeon, B.

“… ► We present hierarchical adaptive local refinements for isogeometric analysis. ► The theoretical properties of the spline space ensure key requirements. ► The …”
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