Results 131 to 140 of about 2,481 (254)

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

The general Caputo–Katugampola fractional derivative and numerical approach for solving the fractional differential equations

Alexandria Engineering Journal
In this manuscript, we present the general fractional derivative (FD) along with its fractional integral (FI), specifically the ψ-Caputo–Katugampola fractional derivative (ψ-CKFD).
Lakhlifa Sadek, Sahar Ahmed ldris, Fahd Jarad   +2 more
doaj   +1 more source

Exploring the Structural, Electronic, and Optical Characteristics of ZrSnO3 Through First‐Principles Calculations for Optoelectronics and Photocatalytic Applications

Electrochemical Science Advances, Volume 6, Issue 4, August 2026.
ABSTRACT We performed first‐principles density functional theory calculations to methodically analyse the structural, mechanical, electronic, thermal, and optical properties of trigonal ZrSnO3 under external pressure up to 60 GPa with GGA‐PBE and HSE06 functionals.
Jahid Hasan, Md. Zuel Rana, Ehesanul Hoq, Abdul Barik, M. S. Alam, Md. Hazrat Ali, Afroza Khatun   +6 more
wiley   +1 more source

A historical review of the Cauchy-Riemann equations and the Cauchy Theorem [PDF]

In this article we take a historical tour through the Cauchy-Riemann equations and their relationship with Cauchy's theorem on the independence with respect to the path of the integral of a holomorphic function. Because of its importance we do a detailed
Reventós, Agustí, Cufí Sobregrau, Julià,   +1 more
core  

Cauchy problem with Denjoy-Stieltjes integral [PDF]

summary:This work is devoted to analyzing the existence of the Cauchy fractional-type problems considering the Riemann-Liouville derivative (in the distributional Denjoy integral sense) of real order $n\geq 1$.
Morales Macías, María Guadalupe
core   +1 more source

New Generalised Semi‐Analytical Approach for the Multidimensional Nonlinear Collisional Fragmentation Equations

International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 980-999, August 2026.
This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav, Ashok Das, Sukhjit Singh, Randhir Singh, Mehakpreet Singh   +4 more
wiley   +1 more source

Application of the Residue Theorem to Trigonometric Sum Identities [PDF]

, 2011
By evaluating a contour integral with the Cauchy residue theorem, we prove a general summation formula on trigonometric sum, which contains several interesting trigonometric identities as special ...
Wang Xin
core   +2 more sources

Least Trimmed Squares: Cointegration and Outliers

Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 690-711, August 2026.
ABSTRACT When applying the cointegrated autoregressive distributed lag model it is common to include indicator variables for outliers. This is often done in a somewhat ad hoc way. Least Trimmed Squares estimation provides a more systematic approach. This estimator is robust to a large number of outliers of many types.
Vanessa Berenguer‐Rico, Bent Nielsen
wiley   +1 more source

Thermal Planar and Radial Free Jets for An Ostwald‐de Waele Fluid With Shear‐Rate Dependent Thermal Diffusivity

Mathematical Methods in the Applied Sciences, Volume 49, Issue 10, Page 10312-10333, 15 July 2026.
ABSTRACT The planar and radial thermal free jets for forced convection of a non‐Newtonian power‐law fluid are investigated. The thermal diffusivity is dependent on the shear‐rate and is not a constant. The flow in planar and radial thermal free jets is governed by the momentum, continuity and energy balance equations. In the stream‐function formulation,
Avnish Bhowan Magan, Rehana Naz
wiley   +1 more source

Synthesizing Interacting Model‐Based Optimal Control and Model‐Free Learning Approaches for Nonlinear Systems

International Journal of Robust and Nonlinear Control, Volume 36, Issue 10, Page 5619-5634, 10 July 2026.
ABSTRACT In this paper, we consider the optimal control problem for an unknown continuous‐time nonlinear system, and present a framework that integrates model‐based and model‐free methods to solve it. Each approach offers distinct advantages: model‐based techniques provide offline synthesis and data efficiency, while model‐free procedures excel at ...
Surabhi Athalye, Kyriakos G. Vamvoudakis, Panos J. Antsaklis   +2 more
wiley   +1 more source