Results 1  10
of
56
PARTICLE PHYSICS MAPLE ROUTINES FOR BOSONS ON CURVED MANIFOLDS
, 2006
"... Exactly solvable models for fields coupled to gravity within a generalrelativistic analytical approach require a huge volume of computations. Therefore, the need of iterations on nonlinear equations and the necessity of permanent checking the results justifies the idea of building a compleat algori ..."
Abstract
 Add to MetaCart
algorithm for this problem. After presenting a MAPLE set of procedures and routines for the study of coupled Klein– Gordon–Maxwell–Einstein system of equations on a curved manifold, we focus on two particular metrics and derive the explicit form of field equations describing the analyzed configurations.
MAPLE for Stochastic Differential Equations
"... This chapter introduces the maple software package stochastic consisting of maple routines for stochastic calculus and stochastic differential equations and for constructing basic numerical methods for specific stochastic differential equations, with simple examples illustrating the use of the rout ..."
Abstract

Cited by 4 (1 self)
 Add to MetaCart
This chapter introduces the maple software package stochastic consisting of maple routines for stochastic calculus and stochastic differential equations and for constructing basic numerical methods for specific stochastic differential equations, with simple examples illustrating the use
Stochastic Stability Examined through Maple
 in 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics
, 1997
"... Stochastic Differential Equations (SDEs) are used to model random dynamical behaviour. Obtaining useful information about the dynamics of SDEs can be difficult since explicit solutions are rare. Quantitative methods such as constructing stochastic numerical schemes from stochastic Taylor expansions ..."
Abstract

Cited by 2 (2 self)
 Add to MetaCart
are available and have been implemented in the computer algebra system Maple. This paper provides Maple routines which can be used to examine qualitative behaviour of stochastic dynamical systems. INTRODUCTION The effects of intrinsic noise within physical phenomena is ignored when mathematical models
Abstract CALCULEMUS 2006 Mining Maple Code for Contracts
"... We wish to answer the following question: what is the most appropriate language for describing the “contracts ” that Maple routines offer? In this, we are seeking much more than types (which Maple does not have, at least statically), as these are not sufficiently expressive to capture what is going ..."
Abstract
 Add to MetaCart
We wish to answer the following question: what is the most appropriate language for describing the “contracts ” that Maple routines offer? In this, we are seeking much more than types (which Maple does not have, at least statically), as these are not sufficiently expressive to capture what is going
Abstract Partial Evaluation of Maple
"... Having been convinced of the potential benefits of partial evaluation, we wanted to apply these techniques to code written in Maple, our Computer Algebra System of choice. Maple is a very large language, with a number of nonstandard features. When we tried to implement a partial evaluator for it, w ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
Having been convinced of the potential benefits of partial evaluation, we wanted to apply these techniques to code written in Maple, our Computer Algebra System of choice. Maple is a very large language, with a number of nonstandard features. When we tried to implement a partial evaluator for it
Computing with Constructible Sets in Maple
, 2008
"... Constructible sets are the geometrical objects naturally attached to triangular decompositions, as polynomial ideals are the algebraic concept underlying the computation of Gröbner bases. This relation becomes even more complex and essential in the case of polynomial systems with infinitely many sol ..."
Abstract
 Add to MetaCart
solutions. In this paper, we introduce ConstructibleSetTools a new module of the RegularChains library in Maple. To our knowledge, this is the first computer algebra package providing constructible set as a type and exporting a rich collection of operations for manipulating constructible sets. Besides
POLY: A new polynomial data structure for Maple
"... We demonstrate how a new data structure for sparse distributed polynomials in the Maple kernel significantly accelerates several key Maple library routines. The POLY data structure and its associated kernel operations (degree, coeff, subs, has, diff, eval,...) are programmed for high scalability wit ..."
Abstract

Cited by 3 (1 self)
 Add to MetaCart
We demonstrate how a new data structure for sparse distributed polynomials in the Maple kernel significantly accelerates several key Maple library routines. The POLY data structure and its associated kernel operations (degree, coeff, subs, has, diff, eval,...) are programmed for high scalability
GRAVITY, DIRAC FIELD AND COMPUTER ALGEBRA USING MAPLE BY
"... ABSTRACT – The article presents computer algebra procedures and routines applied to the study of the Dirac field on curved spacetimes. The main part of the procedures is devoted to the construction of Pauli and Dirac matrices algebra on an anholonomic orthonormal reference frame. Then these procedur ..."
Abstract
 Add to MetaCart
ABSTRACT – The article presents computer algebra procedures and routines applied to the study of the Dirac field on curved spacetimes. The main part of the procedures is devoted to the construction of Pauli and Dirac matrices algebra on an anholonomic orthonormal reference frame
Integrating HighPerformance Polynomial Arithmetic into Maple
, 2009
"... With the need of achieving high performance on practical problems, computer algebra systems devote more and more effort on implementation techniques. This phenomenon is certainly accentuated by the democratization of parallel architectures (multicores) and other hardware accelerating technologies. I ..."
Abstract
 Add to MetaCart
. In this report, we describe the integration of a C library offering highly optimized routines for symbolic computation with polynomials, into the computer algebra system Maple. By bridging these lowlevel and architectureaware routines to highlevel mathematical code, large speedup factors are obtained
Toward highperformance computer algebra with Maple
"... One of the main successes of the computer algebra community in the last 30 years has been the discovery of algorithms, called modular methods, that allow to keep the swell of the intermediate expressions under control. Without these methods, many applications of computer algebra would not be possibl ..."
Abstract
 Add to MetaCart
. In this report, we present modpn, a Maple library dedicated to fast arithmetic for multivariate polynomials. The main objective of modpn is to provide highly efficient routines for supporting the implementation of modular methods in Maple. We demonstrate in this work that modpn allows us to reimplement core
Results 1  10
of
56