Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko +2 more
wiley +1 more source
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
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Investigating an Asymmetric Ratio Cosine Distribution
Pan-American Journal of MathematicsMost real-world data have asymmetric features, slight or pronounced, that cannot be analyzed in depth using classical symmetric distributions. This is especially true when the underlying phenomena take their values in bounded support.
Christophe Chesneau
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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
A Parallelized 3D Geomechanical Solver for Fluid‐Induced Fault Slip in Poroelastic Media
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT We present a fully implicit formulation of coupled fluid flow and geomechanics for fluid injection/withdrawal in fractured reservoirs in the context of CO2$\textrm {CO}_2$ storage. Utilizing a Galerkin finite‐element approach, both flow and poroelasticity equations are discretized on a shared three‐dimensional mesh.
Emil Rinatovich Gallyamov +4 more
wiley +1 more source
Sampling Distribution of ML Estimators: Cauchy Example [PDF]
, 2011 Jan Vrbik
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Applying Dynamics/Cost Parameter Continuation to the Optimal Guidance of Variable‐Speed Unicycle
Optimal Control Applications and Methods, EarlyView.(a) Classical parameter continuation method diverges. (b) Dynamics/cost parameter continuation method converges. ABSTRACT The problem of a variable‐speed unicycle guidance to the stationary target is considered. The vehicle should be guided to the origin while minimizing the energy loss due to the induced drag.
Gleb Merkulov +2 more
wiley +1 more source
A Novel Teaching-Learning-Based Optimization with Error Correction and Cauchy Distribution for Path Planning of Unmanned Air Vehicle. [PDF]
Comput Intell Neurosci, 2018 Zhai Z, Jia G, Wang K.
europepmc +1 more source
Data assimilation with extremum Monte Carlo methods
Quarterly Journal of the Royal Meteorological Society, EarlyView.This study presents the extremum Monte Carlo filter as a data assimilation method and, in particular, a variant of the variational approach (three‐ and four‐dimensional variational), where the state estimates are obtained by solving an optimization problem numerically over a space of prediction functions, instead of the state space itself.
Karim Moussa, Siem Jan Koopman
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Relation between particle sizes and strains determined by line-shape analysis on Gauss and Cauchy strain distribution hypotheses [PDF]
, 1965 G. B. Mitra
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