Results 31 to 40 of about 2,059 (204)
Mathematical Modelling and Analysis, 2018 We discuss here the problem of solving the system of two nonlinear algebraic equations determining the relative equilibrium positions in the planar circular restricted four-body problem formulated on the basis of the Euler collinear solution of the three-
Alexander N. Prokopenya
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Journal of Applied Mathematics, 2013 This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). The approximate solutions of PDEs are calculated in
Fukang Yin +3 more
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Symbolic computation and signal processing [PDF]
, 2004 Many problems in digital signal processing can be converted to algebraic problems over polynomial and Laurent polynomial rings, and can be solved using the existing methods of algebraic and symbolic computation.
Park, Hyungju
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MathematicsThe (2+1)-dimensional Boussinesq equation is a fundamental model in nonlinear wave theory, governing shallow-water wave propagation, coastal dynamics in ocean engineering, and long waves in geophysical fluid systems such as atmospheric and oceanic ...
Jing-Bin Liang +3 more
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A Hyper-Dual Number Approach to Higher-Order Derivative Computation
AxiomsThis paper develops a theoretical framework for the computation of higher-order derivatives based on the algebra of hyper-dual numbers. Extending the classical dual number system, hyper-dual numbers provide a natural and rigorous mechanism for encoding ...
Ji Eun Kim
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New Exact Jacobi Elliptic Function Solutions for the Coupled Schrödinger-Boussinesq Equations
Journal of Applied Mathematics, 2013 A general algebraic method based on the generalized Jacobi elliptic functions expansion method, the improved general mapping deformation method, and the extended auxiliary function method with computerized symbolic computation is proposed to construct ...
Baojian Hong, Dianchen Lu
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NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials [PDF]
Optimization Methods and Software, 2011 NCSOStools is a Matlab toolbox for • symbolic computation with polynomials in noncommuting NC variables; • constructing and solving sum of Hermitian squares with commutators programs for polynomials in NC variables. It can be used in combination with semidefinite programming software, such as SeDuMi, SDPA or SDPT3, to solve these ...
Kristijan Cafuta, Igor Klep, Janez Povh
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Object oriented institutions to specify symbolic computation systems [PDF]
, 2007 The specification of the data structures used in EAT, a software system for symbolic computation in algebraic topology, is based on an operation that defines a link among different specification frameworks like hidden algebras and coalgebras.
Julio Rubio +8 more
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An order-sorted approach to algebraic computation [PDF]
, 2022 S.134 ...
Hearn, A.C., Schrüfer, E.
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Advances in the Design of Symbolic Computation Systems [PDF]
, 1997 New methodological aspects related to design and implementation of symbolic computation systems are considered in this volume aiming at integrating such aspects into a homogeneous software environment for scientific computation.
TEMPERINI, Marco, Alfonso Miola
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