Results 161 to 170 of about 311,159 (279)
Computer algebra and algebraic analysis
, 2010 Este artículo describe algunas aplicaciones del Álgebra Computacional al Análisis Algebraico, también conocido como teoría de D-módulos, es decir, el estudio algebraico de sistemas lineales de ecuaciones en derivadas parciales. Mostramos cómo calcular diferentes objetos e invariantes en teoría de D-módulos, utilizando bases de Groebner para anillos de ...
Castro Jiménez, Francisco Jesús +3 more
openaire +2 more sources
A Biophysical Approach to the Design of Networks of Communication Systems
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Inspired by the growth dynamics of the protist Physarum polycephalum, we employ a formalism that describes adaptive, incompressible Hagen‐Poiseuille flows on channel networks to identify graphs connecting different nodes within Euclidean space. These graphs are either suboptimal or optimal relative to their length.
Rodrigo Almeida +2 more
wiley +1 more source
Ruppert行列による近似GCDの算出 (Computer Algebra : Design of Algorithms, Implementations and Applications)
, 2009 耕作 長坂
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Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley +1 more source
Finding Efficient Recursions for Risk Aggregation by Computer Algebra [PDF]
, 2007 Stefan Gerhold, Richard Warnung
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Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
Computer Algebra Algorithms Applied to Computer Vision in a Parking Management System
, 2007 Roberto J. López-Sastre +3 more
openalex +2 more sources
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Using computer algebra to select numerical algorithms [PDF]
, 1992 Michael C. Dewar
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