Results 81 to 90 of about 44,437 (210)

Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions

International Journal for Numerical Methods in Engineering, Volume 127, Issue 8, 30 April 2026.
ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea, Paul Over, Thomas Rung   +2 more
wiley   +1 more source

On a two-dimensional analogue of the Lebesgue function for Fourier-Chebyshov sums [PDF]

E3S Web of Conferences
This article considers the problem of approximating a function of two variables f(x,y) by Fourier sums over Chebyshev polynomials orthogonal on a discrete grid.
Rustanov A.R., Shikhshinatova M.M.
doaj   +1 more source

An Explicit, Compact, and Rotation‐Agnostic Formulation for Equivalent Nodal Loads for Point‐Loaded Beams

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In time‐marching dynamical simulations, treatment of contact forces in deformable bodies represented by finite element meshes requires a compromise between simulation fidelity and computational costs. External forces directly evaluated at the mesh nodes offer better computational performance at the cost of modelling fidelity.
Alexander R. Schock, Mark Reckzin, Robert G. Langlois   +2 more
wiley   +1 more source

Approximation of the Pseudospectral Abscissa via Eigenvalue Perturbation Theory

Numerical Linear Algebra with Applications, Volume 33, Issue 2, April 2026.
ABSTRACT Reliable and efficient computation of the pseudospectral abscissa in the large‐scale setting is still not settled. Unlike the small‐scale setting where there are globally convergent criss‐cross algorithms, all algorithms in the large‐scale setting proposed to date are at best locally convergent.
Waqar Ahmed, Emre Mengi
wiley   +1 more source

The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية
In this paper, we applied the reproducing kernel method on elliptical region, we establish the formulas of the reproducing kernel from several degrees and generalized those formulas whatever the dimension of space, we obtained all surfaces, points, and ...
Hiba Aslan, Hamed Abbas
doaj   +1 more source

Toward Genuine Efficiency and Cluster Robustness of Preconditioned CG‐Like Eigensolvers

Numerical Linear Algebra with Applications, Volume 33, Issue 2, April 2026.
ABSTRACT The locally optimal block preconditioned conjugate gradient (LOBPCG) method is a popular solver for large and sparse Hermitian eigenvalue problems. However, recently proposed alternatives for its single‐vector version LOPCG indicate certain problematic cases with less accurate preconditioners and clustered target eigenvalues.
Ming Zhou, Klaus Neymeyr
wiley   +1 more source

FREE VIBRATION OF ISOTROPIC HALF-ELLIPTIC PLATES OF LINEARLY VARYING THICKNESS WITH CLAMPED CURVED BOUNDARY

International Islamic University Malaysia Engineering Journal, 2010
Two-dimensional boundary characteristic orthonormal polynomials are used in Rayleigh-Ritz method to study the title problem. In general, it is found that this method gives better results than the other traditional method such as boundary integral ...
A.P Gupta, N. Bhardwaj, K.K. Choong
doaj   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

An accurate method for solving a singular second-order fractional Emden-Fowler problem

Advances in Difference Equations, 2018
In this paper, we study a singular second-order fractional Emden-Fowler problem. The reproducing kernel Hilbert space method (RKHSM) is employed to compute an approximation to the proposed problem.
Muhammed I Syam, HM Jaradat, Marwan Alquran, Safwan Al-Shara’   +3 more
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source