Search Results - symbolic-numerical solution algorithm
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Mixed symbolic–numerical computation of convective heat transfer with slip flow in microchannels
ISSN: 0735-1933, 1879-0178Published: New York, NY Elsevier Ltd 01.02.2005Published in International communications in heat and mass transfer (01.02.2005)“… A mixed symbolic–numerical algorithm is developed under the Mathematica platform. The paper was also prepared in the Mathematica notebook format, available upon…”
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Symbolic-Numerical Implementation of the Galerkin Method for Approximate Solution of the Waveguide Diffraction Problem
ISSN: 0361-7688, 1608-3261Published: Moscow Pleiades Publishing 01.04.2023Published in Programming and computer software (01.04.2023)“…In this paper, we construct a symbolic-numerical implementation of the Galerkin method for approximate solution of the waveguide diffraction problem at the junction of two open planar three-layer waveguides…”
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Symbolic-numerical solution of systems of linear ordinary differential equations with required accuracy
ISSN: 0361-7688, 1608-3261Published: Dordrecht SP MAIK Nauka/Interperiodica 01.05.2013Published in Programming and computer software (01.05.2013)“…In the paper, a symbolic-numerical algorithm for solving systems of ordinary linear differential equations with constant coefficients and compound right-hand sides…”
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Symbolic-numerical analysis of equilibrium solutions in a restricted four-body problem
ISSN: 0361-7688, 1608-3261Published: Dordrecht SP MAIK Nauka/Interperiodica 01.03.2010Published in Programming and computer software (01.03.2010)“…Algorithms for searching equilibrium solutions of the circular restricted four-body problem formulated on the basis of triangular Lagrange solutions of the three-body problem are discussed…”
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Symbolic-numerical methods for searching equilibrium states in a restricted four-body problem
ISSN: 0361-7688, 1608-3261Published: Dordrecht SP MAIK Nauka/Interperiodica 01.03.2013Published in Programming and computer software (01.03.2013)“…Algorithms for searching equilibrium solutions of the circular restricted four-body problem formulated on the basis of the triangular Lagrange solutions of the three-body problem are discussed…”
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A Symbolic–Numerical Method for Integration of DAEs Based on Geometric Control Theory
ISSN: 2195-3880, 2195-3899Published: Boston Springer US 01.08.2014Published in Journal of control, automation & electrical systems (01.08.2014)“…This work describes a symbolic–numerical integration method for a class of differential algebraic equations (DAEs…”
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On non-binomial structure of cyclic 8-roots
ISSN: 0916-7005, 1868-937XPublished: Tokyo Springer Japan 01.07.2016Published in Japan journal of industrial and applied mathematics (01.07.2016)“…Following pioneering works of Björck and Fröberg for identification of the solution set of cyclic 8-roots ( I C 8…”
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Symbolic and numerical solution of the axisymmetric indentation problem for a multilayered elastic coating
ISSN: 0020-7683, 1879-2146Published: Elsevier Ltd 15.08.2013Published in International journal of solids and structures (15.08.2013)“…•The method of solution is based on the Hankel transform and the transfer matrix.•The implementation is done with Mathematica under the form of a fast and efficient code…”
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Parallel computation of real solving bivariate polynomial systems by zero-matching method
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 15.03.2013Published in Applied mathematics and computation (15.03.2013)“…We present a new algorithm for solving the real roots of a bivariate polynomial system Σ={f(x,y),g(x,y…”
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A numerical elimination method for polynomial computations: Symbolic-Numerical Computations
ISSN: 0304-3975Published: Oxford Elsevier 2008Published in Theoretical computer science (2008)Get full text
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Algebraic algorithms for structure determination in biological chemistry
ISSN: 0020-7608, 1097-461XPublished: Hoboken Wiley Subscription Services, Inc., A Wiley Company 2006Published in International journal of quantum chemistry (2006)“…‐numerical algorithms. We introduce suitable algebraic tools and then survey their usage in concrete applications…”
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Gravitational wave signal templates, pattern recognition, and reciprocal Eulerian gamma functions: Symbolic-Numerical Computations
ISSN: 0304-3975Published: Oxford Elsevier 2008Published in Theoretical computer science (2008)Get full text
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Solution of Quantum Mechanical Problems Using Finite Element Method and Parametric Basis Functions
ISSN: 1062-8738, 1934-9432Published: Moscow Pleiades Publishing 01.06.2018Published in Bulletin of the Russian Academy of Sciences. Physics (01.06.2018)“…New computational schemes, symbolic-numerical algorithms and programs implementing the high-accuracy finite element method (FEM…”
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Mixed symbolic–numerical computations with general DAEs I: System properties
ISSN: 1017-1398, 1572-9265Published: New York Springer Nature B.V 01.12.1998Published in Numerical algorithms (01.12.1998)“… In this expository paper we discuss a variety of situations where we have found mixed symbolic-numerical calculations to be essential…”
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Symbolic-numerical Solution of Multibody Systems with Closed Loops
ISSN: 0042-3114, 1744-5159Published: Taylor & Francis Group 01.01.1992Published in Vehicle system dynamics (01.01.1992)“…For multibody systems with closed kinematic Loops a set of ordinary differential equations and decoupled algebraic equations is formulated which can be solved with explicit multistep integration algorithms…”
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Computation Sequences for Series and Polynomials
ISBN: 9798841586739Published: ProQuest Dissertations & Theses 01.01.2013“…Approximation to the solutions of non-linear differential systems is very useful when the exact solutions are unattainable…”
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Computing local minimizers in polynomial optimization under genericity conditions: Computing local minimizers in polynomial optimization under genericity conditions
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.08.2025Published in Journal of global optimization (01.08.2025)“… In particular, for the unconstrained problem, i.e., the constraint set is R n , the coordinates of all local minimizers can be represented by the values of n univariate polynomials at the real solutions of a univariate system containing a polynomial…”
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Unified Integral Transforms Algorithm for Solving Multidimensional Nonlinear Convection-Diffusion Problems
ISSN: 1040-7782, 1521-0634Published: Philadelphia Taylor & Francis Group 01.06.2013Published in Numerical heat transfer. Part A, Applications (01.06.2013)“…The present work summarizes the theory and describes the algorithm related to an open-source mixed symbolic-numerical computational code named unified integral transforms (UNIT…”
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Principal Landau determinants
ISSN: 0010-4655, 1879-2944Published: United States Elsevier B.V 01.10.2024Published in Computer physics communications (01.10.2024)“… We contribute new algorithms for computing Landau singularities, using tools from polyhedral geometry and symbolic/numerical elimination…”
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Tax compliance with uncertain income: a stochastic control model
ISSN: 0254-5330, 1572-9338Published: New York Springer US 01.02.2018Published in Annals of operations research (01.02.2018)“…–Bellman equation associated to the control problem, and we rely on a symbolic and numerical algorithm to study its solution…”
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