Efficient Numerical Schemes for a Heterogeneous Reaction–Diffusion System with Applications
MathematicsIn this study, a class of nonlinear heterogeneous reaction–diffusion system (RDS) has been considered that arises in modeling epidemiological interactions, environmental sciences, and chemical and ecological systems.
Samima Akhter +3 more
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Development of the software Conden 1.0 in finite differences to model electrostatics problems 2D
Ingeniería e Investigación, 2004 The present work consists on the development and implementation of the finite differences method for over-relaxation adapted to irregular meshes to determine the influence of the air frontiers on the potencial values and field electricians, calculated ...
Wilson Rodríguez Calderón +1 more
doaj
Numerical modelling of elasto-plastic friction in bow–string interaction with guaranteed passivity
Frontiers in Signal ProcessingIn order to simulate the function of bowed string instruments, it is necessary to model the frictional interaction between the bow hair and the vibrating string.
Ewa Matusiak +2 more
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Finite differences in finite characteristic
Journal of Algebra, 2006 For a Dedekind domain \(D\) with quotient field \(K\) let \(\text{Int}^{[k]}(D)\) be the ring of all \(K\)-polynomials \(f\) having the property that \(f\) as well as all polynomials \(\Delta_{h_k}(\Delta_{h_{k-1}}(\dots (\Delta_{h_1}(f)))\dots)\), (where \(\Delta_hf(X)=(f(X+h)-f(X))/h\)) map \(D\) into \(D\) for every choice of \(h_1,\dots,h_k\).
openaire +2 more sources
Revista Ingenierías Universidad de Medellín, 2007 Las nuevas tecnologías informáticas abren un mundo de posibilidades inagotable en el ámbito de la docencia. En el caso particular de las enseñanzas técnicas, el uso de estas tecnologías se convierte en indispensable por la propia naturaleza de los ...
Myriam Rocío Pallares Muñoz +1 more
doaj
Hyper–Dual Numbers: A Theoretical Foundation for Exact Second Derivatives
MathematicsSecond-order derivative information, including mixed curvature, is central to Newton and trust-region optimization, uncertainty quantification, and simulation-based design.
Sung Bum Park, Ji Eun Kim
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An Analysis of a Family of Difference Schemes for Solving Hyperbolic Partial Differential Equations
MathematicsPartial differential equations are an integral part of modern scientific development. Hyperbolic partial differential equations are encountered in many fields and have many applications—both linear and nonlinear types, with some being semilinear and ...
Pavlina Atanasova +2 more
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Indirect boundary observability of semi-discrete coupled wave equations
Electronic Journal of Differential Equations, 2018 This work concerns the indirect observability properties for the finite-difference space semi-discretization of the 1-d coupled wave equations with homogeneous Dirichlet boundary conditions. We assume that only one of the two components of the unknown
Abdeladim El Akri, Lahcen Maniar
doaj
Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences. [PDF]
Data Brief, 2019 Brady PT, Livescu D.
europepmc +1 more source
Vegetative Cell and Spore Proteomes of Clostridioides difficile Show Finite Differences and Reveal Potential Protein Markers. [PDF]
J Proteome Res, 2019 Abhyankar WR +4 more
europepmc +1 more source