Results 31 to 40 of about 2,672 (199)
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
doaj +1 more source
Analyzing group based matrix multiplication algorithms
, 2009 International Symposium on Symbolic and Algebraic Computation, ISSAC 2009 (2009.
Irene Polo-Blanco +11 more
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
openaire +2 more sources
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
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Computer Aided Symbolic Linear Algebra [PDF]
, 2003 The aim of this communication is to present a Symbolic Linear Algebra package, written in MAPLE V.5 and working also in the release 7, with general but especially educational purpose. Its goal is to run over MAPLE the different Linear Algebra algorithms developped in [OJ].
openaire +2 more sources