Results 91 to 100 of about 2,059 (204)

Exploration of soliton structures in (3+1)-dimensional generalized evolution nonlinear equation using an efficient integration scheme

Beni-Suef University Journal of Basic and Applied Sciences
Background Nonlinear wave equations in higher dimensions play a crucial role in describing complex behaviors in dispersive media such as optics, plasma, and fluid dynamics.
Ibrahim Saber, Hamdy Ahmed, Niveen Badra, Islam Samir   +3 more
doaj   +1 more source

Computer algebra and symbolic computational mechanics

, 1989
Although, undoubtedly, numerical computations are the computations of primary importance in computational mechanics, nevertheless, symbolic computations also constitute a significant related tool. Here at first an extensive review of the major computer algebra systems is made, i.e.
openaire   +1 more source

Complex soliton dynamics in the M-truncated fractional nonlinear long-wave system: lump, breather and M-shape structures

Boundary Value Problems
In this study, we investigate the fractional modified regularized long-wave Burger (fMRLW–Burger) equation, a governing model widely used to explain the evolution of nonlinear surface water waves.
Badr Saad T. Alkahtani
doaj   +1 more source

The Design of the PACLIB Kernel for Parallel Algebraic Computation [PDF]

, 1993
. This paper describes the runtime kernel of Paclib, a new system for parallel algebraic computation on shared memory computers. Paclib has been developed as a professional tool for the simple design and efficient implementation of parallel algorithms ...
Hoon Hong, Wolfgang Schreiner
core  

Algebraic Numbers in Symbolic Computations

, 1998
There are many good reasons to teach a course on a systematic introduction to symbolic methods not only to students of mathematics but also to those of technical sciences. The design of such a course meets an essential difficulty since the principles to be demonstrated appear only in non trivial applications in a convincing way, but there is no time to
openaire   +1 more source

Special issue on symbolic and algebraic computation

Journal of Symbolic Computation, 2009
Carlos D'Andrea, Bernard Mourrain
openaire   +1 more source

Free quantum computing. [PDF]

Proc Natl Acad Sci U S A
Carette J, Heunen C, Kaarsgaard R, Ross NJ, Sabry A.   +4 more
europepmc   +1 more source

Quantum algorithms for equational reasoning. [PDF]

Sci Adv
Rattacaso D, Jaschke D, Ballarin M, Siloi I, Montangero S.   +4 more
europepmc   +1 more source

Symbolic computations over the algebra of coquaternions

, 2019
Coquaternions, introduced by Sir James Cockle in 1849, form a four dimensional real algebra generalizing complex numbers. In recent years one can observe an emerging interest among mathematicians and physicists on the study of these numbers. In this work we present a Mathematica package for implementing the algebra of coquaternions.
Falcão, M. I., Miranda, Fernando, Severino, Ricardo, Soares, M. J.   +3 more
openaire   +1 more source

Computer-assisted construction of Ramanujan-Sato series for 1 over π. [PDF]

Ramanujan J
Hemmecke R, Paule P, Radu CS.
europepmc   +1 more source