Results 71 to 80 of about 1,776 (141)

C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor, Adrián Ruiz, Concepción Muriel   +2 more
wiley   +1 more source

Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley   +1 more source

Vem++, a C++ library to handle and play with the virtual element method. [PDF]

Numer Algorithms
Dassi F.
europepmc   +2 more sources

A Residual Amplitude Modulation Noise Suppression Method Based on Multi-Harmonic Component Decoupling. [PDF]

Sensors (Basel)
Luo Q, Su H, Wang Y, Yang C.
europepmc   +1 more source

Formulation of an Efficient O(<i>M</i>⁴)-Scaling Explicitly Correlated MP2-F12 Correction by Combining Numerical Quadrature with Density Fitting and CABS-RI. [PDF]

J Chem Theory Comput
Urban L, Laqua H, Thompson TH, Ochsenfeld C.   +3 more
europepmc   +1 more source

Quantum-enhanced imaging and metrology with undetected photons via squeezed-light homodyne detection. [PDF]

Sci Rep
Samimi S, Ghasemi Z, Mohammadi H.
europepmc   +1 more source

Implicit quiescent soliton perturbation in optical metamaterials with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's forms of self-phase modulation structures by lie symmetry. [PDF]

MethodsX
Adem AR, Arnous AH, Triki H, González-Gaxiola O, Calucag LS, Biswas A.   +5 more
europepmc   +1 more source

Quantum Shannon Information Theory-Design of Communication, Ciphers, and Sensors. [PDF]

Entropy (Basel)
Hirota O.
europepmc   +1 more source

Analytically grounded full-wave methods for advances in computational electromagnetics. [PDF]

Philos Trans A Math Phys Eng Sci
Lucido M, Kobayashi K, Nosich AI, Pérez Arancibia C, Vukovic A.   +4 more
europepmc   +1 more source

In-Plane Vibration Analysis of Rectangular Plates with Elastically Restrained Boundaries Using Differential Quadrature Method of Variational Weak Form. [PDF]

Materials (Basel)
Wang X, Zhou W, Yi S, Li S.
europepmc   +1 more source