Results 31 to 40 of about 53,306 (259)
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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Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams [PDF]
, 2014 Nested sums containing binomial coefficients occur in the computation of massive operator matrix elements. Their associated iterated integrals lead to alphabets including radicals, for which we determined a suitable basis.
Ablinger, Jakob +3 more
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MathematicsThis paper presents a Neural Network-Based Symbolic Computation Algorithm (NNSCA) for solving the (2+1)-dimensional Yu-Toda-Sasa-Fukuyama (YTSF) equation.
Jiang-Long Shen +3 more
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Mathematics, 2021 Recently developed GeoGebra tools for the automated deduction and discovery of geometric statements combine in a unique way computational (real and complex) algebraic geometry algorithms and graphic features for the introduction and visualization of ...
Tomás Recio +3 more
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Aligator.jl - A Julia Package for Loop Invariant Generation
, 2018 We describe the Aligator.jl software package for automatically generating all polynomial invariants of the rich class of extended P-solvable loops with nested conditionals.
A Humenberger +3 more
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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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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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Alexandria Engineering Journal, 2018 This paper addresses the problem of exact generic symbolic formulation and solution of Parameters Varying Systems (PVS) problems in control, systems, and optimization.
Hassen Taher Dorrah +2 more
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Mathematical and Computational Applications, 2020 Free in-plane vibrations of a scimitar-type nonprismatic rotating curved beam, with a variable cross-section and increasing sweep along the leading edge, are calculated using an innovative, efficient and accurate solver called the Adomian modified ...
Desmond Adair, Martin Jaeger
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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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