Search Results - "Symbolic numeric computation"
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Exact symbolic–numeric computation of planar algebraic curves
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 17.06.2013Published in Theoretical computer science (17.06.2013)“…We present a certified and complete algorithm to compute arrangements of real planar algebraic curves. It computes the decomposition of the plane induced by a…”
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SNC: A Cloud Service Platform for Symbolic-Numeric Computation Using Just-In-Time Compilation
ISSN: 2168-7161, 2372-0018Published: Piscataway IEEE Computer Society 01.04.2019Published in IEEE transactions on cloud computing (01.04.2019)“… In this, we propose a Cloud service platform for symbolic-numeric computation– SNC. SNC allows the Cloud users to describe tasks…”
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Symbolic–numeric computation of orthogonal polynomials and Gaussian quadratures with respect to the cardinal B-spline
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.10.2017Published in Numerical algorithms (01.10.2017)“…The first 60 coefficients in the three-term recurrence relation for monic polynomials orthogonal with respect to cardinal B -splines φ m as the weight…”
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Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems--a symbolic-numeric computation approach
ISSN: 1054-1500Published: United States 01.06.2005Published in Chaos (Woodbury, N.Y.) (01.06.2005)“…First, a Q-S (lag or anticipated) synchronization of continuous-time dynamical systems is defined. Second, based on a backstepping design with one controller,…”
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What we can learn from Bohemian Matrices?: An adventure in symbolic-numeric computation
ISSN: 2564-3029, 2564-3029Published: 06.10.2021Published in Maple Transactions (06.10.2021)“…This Maple Workbook explores a new topic in linear algebra, which is called "Bohemian Matrices". The topic is accessible to people who have had even just one…”
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Symbolic-Numeric Computation of the Eigenvalues and Eigenfunctions of the Leaky Modes in a Regular Homogeneous Open Waveguide
ISSN: 2261-236X, 2274-7214, 2261-236XPublished: Les Ulis EDP Sciences 01.01.2018Published in MATEC web of conferences (01.01.2018)“…In this paper the algorithm of finding eigenvalues and eigenfunctions for the leaky modes in a three-layer planar dielectric waveguide is considered. The…”
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Proving total correctness and generating preconditions for loop programs via symbolic-numeric computation methods
ISSN: 2095-2228, 2095-2236Published: Heidelberg Higher Education Press 01.04.2014Published in Frontiers of Computer Science (01.04.2014)“…We present a symbolic-numeric hybrid method, based on sum-of-squares (SOS) relaxation and rational vector recovery, to compute inequality invariants and…”
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Algebraic Curve Interpolation for Intervals via Symbolic-Numeric Computation
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 20.05.2024Published in arXiv.org (20.05.2024)“…Algebraic curve interpolation is described by specifying the location of N points in the plane and constructing an algebraic curve of a function f that should…”
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Approximate Bisimulation and Optimization of Software Programs Based on Symbolic-Numeric Computation
ISSN: 1024-123X, 1563-5147Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2013Published in Mathematical problems in engineering (01.01.2013)“…To achieve behavior and structure optimization for a type of software program whose data exchange processes are represented by nonlinear polynomial systems,…”
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Q-S (complete or anticipated) synchronization backstepping scheme in a class of discrete-time chaotic (hyperchaotic) systems: a symbolic-numeric computation approach
ISSN: 1054-1500Published: United States 01.03.2006Published in Chaos (Woodbury, N.Y.) (01.03.2006)“…First, a type of Q-S (complete or anticipated) synchronization is defined in discrete-time dynamical systems. Second, based on backstepping design with a…”
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An effective implementation of symbolic–numeric cylindrical algebraic decomposition for quantifier elimination
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 01.04.2013Published in Theoretical computer science (01.04.2013)“…With many applications in engineering and scientific fields, quantifier elimination (QE) has received increasing attention. Cylindrical algebraic decomposition…”
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Certified Hermite matrices from approximate roots
ISSN: 0747-7171, 1095-855XPublished: Elsevier Ltd 01.07.2023Published in Journal of symbolic computation (01.07.2023)“…Let I=〈f1,…,fm〉⊂Q[x1,…,xn] be a zero dimensional radical ideal defined by polynomials given with exact rational coefficients. Assume that we are given…”
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New homotopy analysis transform method for solving multidimensional fractional diffusion equations
ISSN: 2576-5299, 2576-5299Published: Taylor & Francis 01.01.2020Published in Arab journal of basic and applied sciences (01.01.2020)“…In this paper, we introduce a new semi-analytical method called the homotopy analysis Shehu transform method (HASTM) for solving multidimensional fractional…”
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An approach to first principles electronic structure calculation by symbolic-numeric computation
ISSN: 2223-506X, 2223-506XPublished: Hamad Bin Khalifa University Press 01.04.2013Published in QScience connect (01.04.2013)“…There is a wide variety of electronic structure calculation cooperating with symbolic computation. The main purpose of the latter is to play an auxiliary role…”
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Transient dynamic analysis of cracked structures with multiple contact pairs using generalized HSNC
ISSN: 0924-090X, 1573-269XPublished: Dordrecht Springer Netherlands 01.04.2019Published in Nonlinear dynamics (01.04.2019)“…The development of efficient computational methods for cracked structures is critical in the fields of civil, mechanical, and aerospace engineering since the…”
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Subdivision methods for solving polynomial equations
ISSN: 0747-7171, 1095-855XPublished: Elsevier Ltd 01.03.2009Published in Journal of symbolic computation (01.03.2009)“…This paper presents a new algorithm for solving a system of polynomials, in a domain of R n . It can be seen as an improvement of the Interval Projected…”
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Application of Dixon resultant to satellite trajectory control by pole placement
ISSN: 0747-7171, 1095-855XPublished: Elsevier Ltd 01.03.2013Published in Journal of symbolic computation (01.03.2013)“…Control system design process based on pole placement frequently requires to solve underdetermined multivariate polynomial systems. Since only the real…”
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Symbolic-Numeric Computation of Posterior Mean and Variance for a Class of Discrete-Time Nonlinear Stochastic Systems
ISSN: 2576-2370Published: IEEE 14.12.2020Published in Proceedings of the IEEE Conference on Decision & Control (14.12.2020)“…This paper proposes a symbolic-numeric Bayesian filtering method for a certain class of discrete-time nonlinear stochastic systems. The prior distribution and…”
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Conference Proceeding -
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The Bézout matrix for Hermite interpolants
ISSN: 0024-3795, 1873-1856Published: Elsevier Inc 01.06.2015Published in Linear algebra and its applications (01.06.2015)“…The aim of this paper is to introduce the construction of the Bézout matrix of two univariate polynomials given by values in the Hermite interpolation basis,…”
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Computing Approximate Greatest Common Right Divisors of Differential Polynomials
ISSN: 1615-3375, 1615-3383Published: New York Springer US 01.04.2020Published in Foundations of computational mathematics (01.04.2020)“…Differential (Ore) type polynomials with “approximate” polynomial coefficients are introduced. These provide an effective notion of approximate differential…”
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