Proceedings of 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation held at the Harnack House, Berlin, Germany, 30 June - 5 July, 2024.
Abstract We consider the long-time global dynamics of non-autonomous Oregonator systems. This system is a coupled system of three reaction-diffusion equations, that arises from the Belousov-Zhabotinskii reaction. We first present some sufficient conditions for the existence of pullback and uniform exponential attractors for non-autonomous dynamical system. Then, we apply abstract results to prove the existence of a pullback exponential attractor for Oregonator systems affected by time-dependent forces and a uniform exponential attractor for Oregonator systems driven by quasi-periodic external forces.
O estudo da matemática tem sido favorecido por uma inovação de métodos e abordagens explorados em ambientes de aprendizagem criados nas escolas, a partir de alternativas envolvendo atividades dinâmicas e outros materiais didáticos. Nesse sentido, este trabalho teve como objetivo desenvolver uma atividade de ensino por meio da junção de resolução de problemas matemáticos com a culinária, no Programa Residência Pedagógica da Universidade Federal de Catalão, em conjunto com o componente curricular de Estágio Supervisionado. A pesquisa teve abordagem qualitativa e natureza exploratória, e buscou investigar como trabalhar as estratégias de resolução de problemas junto com a culinária, especificamente, na parte da confeitaria. A pesquisa de campo foi realizada no primeiro semestre de 2023, com estudantes do Ensino Médio, de uma escola estadual de tempo integral, em Catalão-GO, que participavam de uma disciplina eletiva. A atividade proposta consistiu de uma situação-problema, envolvendo a receita de um bolo de chocolate do tipo brownie, e teve o objetivo de calcular o custo dos ingredientes. Foi possível perceber que a interação e o compartilhamento de saberes foram significativos, porque, além de favorecer a aplicação das estratégias de resolução de problemas, sob a mediação das professoras, possibilitaram que os estudantes também pudessem ser mais proativos.
With this short note, we close a gap in the linear stability theory of block predictor-corrector Runge-Kutta schemes originally proposed for the parallel solution of ODEs.
AbstractA class of exotic $_3F_2(1)$ -series is examined by integral representations, which enables the authors to present relatively easier proofs for a few remarkable formulae. By means of the linearization method, these $_3F_2(1)$ -series are further extended with two integer parameters. A general summation theorem is explicitly established for these extended series, and several sample summation identities are highlighted as consequences.
We present an improved form of the algorithm for constructing Jacobi rotations. This is simultaneously a more accurate code for finding the eigenvalues and eigenvectors of a real symmetric 2x2 matrix.
We provide a maximum entropy derivation of a new family of BFGS-like methods. Similar results are then derived for block BFGS methods. This also yields an independent proof of a result of Fletcher 1991 and its generalisation to the block case.
In this paper the spectral analysis of all possible linear congruent sequences with a maximum period is conducted and the best random number generators are selected among them.
In this paper, I give an extension to the banachic - non linear- case of the work of B. Hanouzet and J.L. Joly which is quoted below in the bibliography and which was elaborated in the hilbertian- linear- case.
We give error estimates for a mixed finite element approximation of the two-dimensional elliptic Monge-Ampere equation with the unknowns approximated by Lagrange finite elements of degree two. The variables in the formulation are the scalar variable and the Hessian matrix.
In this paper the approximate solution of the heat exchange problem by A.N. Tikhonov regularization method is presented. The errror estimation of this approximate is obtained.