Search Results - "Symbolic computation and algebraic computation"
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1
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Source: SIAM Journal on Scientific Computing. 47:C1-C21
Subject Terms: Computer Science - Symbolic Computation, FOS: Computer and information sciences, Computer Science - Machine Learning, Numerical methods for partial differential equations, boundary value problems, deep neural network, Computational learning theory, Numerical Analysis (math.NA), Symbolic Computation (cs.SC), Symbolic computation and algebraic computation, committor functions, rare events, Machine Learning (cs.LG), finite expression method, high dimensions, Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics, FOS: Mathematics, symbolic learning, PDEs with randomness, stochastic partial differential equations, Mathematics - Numerical Analysis, Brownian motion, Artificial neural networks and deep learning, PDEs in connection with statistical mechanics
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Access URL: http://arxiv.org/abs/2306.12268
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2
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Source: Advances in Applied Mathematics and Mechanics. 16:608-635
Subject Terms: Finite difference methods for boundary value problems involving PDEs, energy conservation, Iterative numerical methods for linear systems, Extrapolation to the limit, deferred corrections, convergence, Richardson extrapolation methods, priori estimation, Symbolic computation and algebraic computation, Finite difference methods applied to problems in solid mechanics, Thermal effects in solid mechanics, Electromagnetic effects in solid mechanics, Classical linear elasticity, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, finite difference method, solvability
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3
Authors: et al.
Source: RIUMA. Repositorio Institucional de la Universidad de Málaga
Universidad de MálagaSubject Terms: Software, source code, etc. for problems pertaining to operations research and mathematical programming, Railway interlocking system, Symbolic computation and algebraic computation, railway interlocking system, decision making, Traffic problems in operations research, commutative algebra, Computer algebra, Transporte ferroviario - Modelos matemáticos, Commutative algebra, computer algebra, Decision making, Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.), Álgebra conmutativa
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4
Authors: Ikenmeyer, Christian
Subject Terms: Computational Complexity, Commutative Algebra, Combinatorics, 68W30 Symbolic computation and algebraic computation
Relation: http://arxiv.org/abs/2511.04954
Availability: http://arxiv.org/abs/2511.04954
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5
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Source: Communications in Mathematics and Statistics. 13:481-505
Subject Terms: trigonometric parametrization, applications, Computational aspects of higher-dimensional varieties, implicitization algorithm, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, Symbolic computation and algebraic computation, hyperbolic parametrization, unirational algebraic variety, 01 natural sciences, symbolic computation
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Authors: et al.
Source: Ricerche di Matematica. 74:575-584
Subject Terms: Computing methodologies and applications, extended three-coupled Korteweg-de Vries system, KdV equations (Korteweg-de Vries equations), \(N\)-soliton solutions, Fluid mechanics, Hirota method, Symbolic computation and algebraic computation, bilinear forms, symbolic computation
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7
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Source: Advances in Applied Clifford Algebras. 34
Subject Terms: GAC, Witt pairs, PGA, Symbolic computation and algebraic computation, geometric algebra, 01 natural sciences, CGA, Clifford algebras, spinors, Geometric algebra, conics, 0103 physical sciences, Conics, 0101 mathematics, Python
File Description: application/xml; text; application/pdf
Access URL: http://hdl.handle.net/11012/250095
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8
Authors: et al.
Source: International Journal of Theoretical Physics. 63
Subject Terms: Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Boussinesq-Burgers system, Soliton solutions, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), shallow water waves, similarity reductions, bilinear forms through the Hirota method, PDEs in connection with fluid mechanics, Symbolic computation and algebraic computation, Methods of ordinary differential equations applied to PDEs
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9
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Source: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 2, Pp 71-84 (2023)
Subject Terms: monomial ideals, vector–spread borel ideals, Cohen-Macaulay ideals, extremal betti numbers, Combinatorial aspects of matroids and geometric lattices, Symbolic computation and algebraic computation, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Syzygies, resolutions, complexes and commutative rings, extremal Betti numbers, 01 natural sciences, Polynomials over commutative rings, QA1-939, FOS: Mathematics, cohen–macaulay ideals, vector-spread Borel ideals, primary 05b35, 05e40, 13b25, 13d02, 68w30, Combinatorial aspects of commutative algebra, 0101 mathematics, Mathematics
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10
Authors: et al.
Contributors: et al.
Source: e_Buah Biblioteca Digital Universidad de Alcalá
instname
Journal of symbolic computation 114, 1-17 (2023). doi:10.1016/j.jsc.2022.04.012Subject Terms: Computer Science - Symbolic Computation, FOS: Computer and information sciences, Thomas decomposition, Matemáticas, Artin approximation, 0102 computer and information sciences, Symbolic Computation (cs.SC), 12H05 Differential algebra, 68W30 Symbolic computation and algebraic computation, 34A25 Analytical theory of ordinary differential equations, 01 natural sciences, Algebraic solution, Convergent solution, Mathematics - Algebraic Geometry, FOS: Mathematics, 0101 mathematics, Algebraic autonomous ordinary differential equation, Puiseux series solution, Algebraic Geometry (math.AG), Mathematics
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Contributors:
Source: ACM Communications in Computer Algebra. 56:32-35
Subject Terms: Three-dimensional polytopes, [MATH] Mathematics [math], 0102 computer and information sciences, Rupert property, 0101 mathematics, Symbolic computation and algebraic computation, 01 natural sciences
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12
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Source: Acta Mathematica Scientia. 42:2478-2504
Subject Terms: center-focus, Bifurcation theory for ordinary differential equations, limit cycles, 0103 physical sciences, biological systems, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, qualitative analysis, Stability of solutions to ordinary differential equations, 0101 mathematics, Symbolic computation and algebraic computation, 01 natural sciences, symbolic computation
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13
Authors: et al.
Source: Communications in Nonlinear Science and Numerical Simulation. 140:108436
Subject Terms: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite difference methods for boundary value problems involving PDEs, two-derivative Runge-Kutta schemes, strong stability preserving, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, multistep temporal schemes, Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs, Navier-Stokes equations, Symbolic computation and algebraic computation, Euler equations, Lax-Wendroff procedure, Finite difference methods applied to problems in fluid mechanics
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14
Authors:
Source: International Journal of Algebra and Computation. 32:785-805
Subject Terms: polynomial identities, Nonassociative algebras satisfying other identities, anti-commutator, Rings with involution, Lie, Jordan and other nonassociative structures, commutator, 0101 mathematics, Symbolic computation and algebraic computation, computer algebra, Free nonassociative algebras, 01 natural sciences, Leibniz algebras
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15
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Source: Qualitative Theory of Dynamical Systems. 23
Subject Terms: Hydrology, hydrography, oceanography, hetero-Bäcklund transformation, similarity reduction, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, shallow-water waves, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), PDEs in connection with fluid mechanics, Symbolic computation and algebraic computation, PDEs in connection with geophysics, Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, Boussinesq-Burgers system, computerized symbolic computation, Soliton solutions, lakes, ocean beaches
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16
Authors: et al.
Source: Qualitative Theory of Dynamical Systems. 22
Subject Terms: breather and periodic-wave solutions, Hydrology, hydrography, oceanography, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Geophysical flows, Asymptotic behavior of solutions to PDEs, Hirota method, PDEs in connection with fluid mechanics, Symbolic computation and algebraic computation, PDEs in connection with geophysics, symbolic computation, Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, \((2+1)\)-dimensional shallow water equation with time-dependent coefficients, Soliton solutions, bilinear Bäcklund transformations, shallow water waves, bilinear form, Periodic solutions to PDEs
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17
Authors:
Source: Journal of Mathematical Imaging and Vision. 62:1076-1086
Subject Terms: FOS: Computer and information sciences, 0209 industrial biotechnology, generalized cameras, Computer Vision and Pattern Recognition (cs.CV), relative pose estimation, Computer Science - Computer Vision and Pattern Recognition, 02 engineering and technology, Gröbner bases, other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation, relative rotation angle, Machine vision and scene understanding, Computer graphics, computational geometry (digital and algorithmic aspects), epipolar constraints, 0202 electrical engineering, electronic engineering, information engineering, multi-view geometry, Gröbner basis, Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)
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Access URL: http://arxiv.org/pdf/1901.11357
http://arxiv.org/abs/1901.11357
https://zbmath.org/7289202
https://doi.org/10.1007/s10851-020-00958-5
https://link.springer.com/article/10.1007/s10851-020-00958-5
https://dblp.uni-trier.de/db/journals/corr/corr1901.html#abs-1901-11357
http://dblp.uni-trier.de/db/journals/corr/corr1901.html#abs-1901-11357 -
18
Authors:
Source: Brújula
Universidad Loyola AndalucíaSubject Terms: algorithm, Isomorphism class, Directed graphs (digraphs), tournaments, isomorphic digraphs, Symbolic computation and algebraic computation, 01 natural sciences, Algorithm, Combinatorial structure, Leibniz algebra, Computational methods for problems pertaining to nonassociative rings and algebras, (Pseudo)digraph, isomorphic Leibniz algebras, 0101 mathematics, Leibniz algebras, (pseudo)digraph
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19
Authors: et al.
Source: Journal of High Energy Physics, Vol 2022, Iss 7, Pp 1-35 (2022)
Journal of High Energy PhysicsSubject Terms: Feynman integrals and graphs, applications of algebraic topology and algebraic geometry, FOS: Physical sciences, Higher Order Electroweak Calculations, QC770-798, Symbolic computation and algebraic computation, Computational methods for problems pertaining to quantum theory, 01 natural sciences, Strong interaction, including quantum chromodynamics, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), higher-order perturbative calculations, Nuclear and particle physics. Atomic energy. Radioactivity, 0103 physical sciences, Higher-Order Perturbative Calculations, Electromagnetic interaction, quantum electrodynamics, Feynman diagrams, higher order electroweak calculations
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20
Authors: Lixin Du
Source: Journal of Symbolic Computation. 130:102423
Subject Terms: Computer Science - Symbolic Computation, FOS: Computer and information sciences, integral bases, Generalized hypergeometric series, \({}_pF_q\), Abramov-Petkovšek reduction, Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.), Symbolic Computation (cs.SC), Symbolic computation and algebraic computation, 68W30, 12H10, 33F10, 39A06, 68W40, symbolic summation
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