Results 71 to 80 of about 27,855,056 (325)
Adaptive 2D IGA boundary element methods
, 2015 We derive and discuss a posteriori error estimators for Galerkin and collocation IGA boundary element methods for weakly-singular integral equations of the first-kind in 2D.
Feischl, Michael +3 more
core +2 more sources
Highly stable multivalue collocation methods
Journal of Physics: Conference Series, 2020 Abstract The paper is focused on the development of A-stable collocation based multivalue methods for stiff problems. This methods are dense output extensions of discrete multivalue methods, since the solution is approximated by a piecewise collocation polynomial with high global regularity. The underlying multivalue method is assumed to
Conte Dajana +3 more
openaire +2 more sources
Advanced Photonics Research, EarlyView.Multipole interference (MPI) plays pivotal roles in electromagnetics. In optics, it has been realized typically with the Mie resonance in high‐index, deep‐subwavelength‐scale dielectric resonators. A new, diffraction‐based MPI scheme is proposed and demonstrated with low‐index, mesoscale dielectric structures.
Rabiul Islam Sikder +2 more
wiley +1 more source
, 2010 This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approach to solve the Volterra's model for population growth of a species within a closed system.
Al-Khaled +42 more
core +1 more source
AxiomsOur goal in this work is to solve the fractional Bratu equation, where the fractional derivative is of the Caputo type. As we know, the nonlinearity and derivative of the fractional type are two challenging subjects in solving various equations.
Haifa Bin Jebreen +1 more
doaj +1 more source
Advanced Theory and Simulations, EarlyView.Increasing half‐cycles intensifies turbulence due to enhanced vortex interactions and flow separation at the diverged‐outlets. Longer wavy ducts are shown to increase flow acceleration, resulting in greater output velocities and more turbulent‐kinetic‐energy production. Wave‐period plays a crucial role in determining turbulent intensity, with amplitude
I. L. Animasaun +2 more
wiley +1 more source
Applicability of spline collocation to cordial volterra equations
Mathematical Modelling and Analysis, 2013 We study the applicability of the standard spline collocation method, on a uniform grid, to linear Volterra integral equations of the second kind with the so-called cordial operators; these operators are noncompact and the applicability of the ...
Teresa Diogo, Gennadi Vainikko
doaj +1 more source
Advanced Theory and Simulations, EarlyView.This study evaluates the simulation capabilities of lithium‐ion battery (LIB) electrochemical simulation software packages. The benchmark simulation results reveal the impacts of parameter sensitivity to solver performance and stability. The guidelines to troubleshooting common solver failures at high current rates lowers the steep learning curve to ...
Kenneth C. Nwanoro +2 more
wiley +1 more source
Designing Illumination Lenses and Mirrors by the Numerical Solution of Monge-Amp\`ere Equations
, 2015 We consider the inverse refractor and the inverse reflector problem. The task is to design a free-form lens or a free-form mirror that, when illuminated by a point light source, produces a given illumination pattern on a target.
Brix, Kolja +2 more
core +1 more source
Isogeometric collocation mixed methods for rods
Discrete & Continuous Dynamical Systems - S, 2016 Isogeometric collocation mixed methods for spatial rods are presented and studied. A theoretical analysis of stability and convergence is available. The proposed schemes are locking-free, irrespective of the selected approximation spaces.
F. Auricchio +4 more
openaire +4 more sources