Results 51 to 60 of about 12,351 (211)
Numerics of singularly perturbed differential equations [PDF]
, 2014 The main purpose of this report is to carry out the effect of the various numerical methods for solving singular perturbation problems on non-uniform meshes.
Shakti, D
core
Advanced Intelligent Systems, Volume 8, Issue 3, March 2026.This paper presents a degeneracy‐aware light detection and ranging (LiDAR)‐inertial framework that enhances LiDAR simultaneous localization and mapping performance in challenging environments. The proposed system integrates a dual‐layer robust odometry frontend with a Scan‐Context‐based loop‐closure detection backend.
Haoming Yang +4 more
wiley +1 more source
Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions
, 2017 We are interested in evolution phenomena on star-like networks composed of several branches which vary considerably in physical properties. The initial boundary value problem for singularly perturbed hyperbolic differential equation on a metric graph is ...
Flyud, Volodymyr, Golovaty, Yuriy
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Expert Systems, Volume 43, Issue 3, March 2026.ABSTRACT Zero‐day exploits remain challenging to detect because they often appear in unknown distributions of signatures and rules. The article entails a systematic review and cross‐sectional synthesis of four fundamental model families for identifying zero‐day intrusions, namely, convolutional neural networks (CNN), deep neural networks (DNN ...
Abdullah Al Siam +3 more
wiley +1 more source
A robust DPG method for singularly perturbed reaction-diffusion problems
, 2017 We present and analyze a discontinuous Petrov-Galerkin method with optimal test functions for a reaction-dominated diffusion problem in two and three space dimensions. We start with an ultra-weak formulation that comprises parameters $\alpha$, $\beta$ to
Heuer, Norbert, Karkulik, Michael
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Advances in Difference Equations, 2021 A system of singularly perturbed convection-diffusion equations with Robin boundary conditions is considered on the interval [ 0 , 1 ] $[0,1]$ . It is shown that any solution of such a problem can be expressed to a system of first-order singularly ...
Li-Bin Liu +3 more
doaj +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.ABSTRACT The multiresolution finite wavelet domain method has been meticulously studied in numerous wave propagation simulations, showing excellent convergence properties and very fast computing times. The multiresolution procedure always starts with the coarse solution, and then finer solutions can be superimposed on the coarse solution until ...
Dimitris Dimitriou +2 more
wiley +1 more source
Singularly perturbed elliptic problems with nonautonomous asymptotically linear nonlinearities
, 2014 We consider a class of singularly perturbed elliptic problems with nonautonomous asymptotically linear nonlinearities. The dependence on the spatial coordinates comes from the presence of a potential and of a function representing a saturation effect. We
Ambrosetti +31 more
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Non-Polynomial Spline for Singularly Perturbed Differential-Difference Equation with Mixed Shifts and Layer Behavior [PDF]
International Journal of Mathematical, Engineering and Management SciencesVarious physical phenomena give rise to singularly perturbed differential equations with mixed shifts. Due to multiple parameters, singularly perturbed mixed delay boundary value problems are challenging to solve.
Shilpa Malge , Ram Kishun Lodhi
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Abstract and Applied Analysis, 2020 In this paper, a class of linear second-order singularly perturbed differential-difference turning point problems with mixed shifts exhibiting two exponential boundary layers is considered. For the numerical treatment of these problems, first we employ a
Wondwosen Gebeyaw Melesse +2 more
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