Results 151 to 160 of about 417,873 (284)

The Long Shadow of Karl Weierstraß Over the Calculus of Variations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley   +1 more source

A Simulation Study on Spatial Exponential Decay of Perturbations in a Two‐Dimensional Wave Equation With Optimal Boundary/Line Control

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley   +1 more source

Lipschitz Continuous Algorithms for Covering Problems

SODA ...
Soh Kumabe, Yuichi Yoshida
openaire   +2 more sources

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor, Nils Margenberg, Markus Bause   +2 more
wiley   +1 more source

Model Adjustments and Solver Construction for Galvanic Cells Based on NPP‐Systems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Electroplated coatings on metallic substrates have a wide range of practical applications ranging from corrosion or wear protection on parts, good conductivity on electrical contacts to coating systems for bipolar plates in fuel cells. The large field of applications in electrochemical engineering motivates several questions for scientific ...
Stephan Daniel Schwöbel, Thomas Mehner, Thomas Lampke   +2 more
wiley   +1 more source

Lipschitz Continuous Points of Functions on an Interval

Examples and Counterexamples
In this paper, we address the problem of finding functions with predetermined Lipschitz continuous points. More precisely, given A⊆[0,1], we are interested in the existence of function f:[0,1]→R which is Lipschitz continuous exactly on A. Our result is related to Liouville numbers.
openaire   +2 more sources

Some convergently three-term trust region conjugate gradient algorithms under gradient function non-Lipschitz continuity. [PDF]

Sci Rep
Hu W, Wu J, Yuan G.
europepmc   +1 more source

Lifts of continuous and Hölder alpha curves in the configuration space MN/SN$M^N/S_N$

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract In this paper, we study the quotient space X=MN/SN$X = M^N / S_N$ of equivalence classes of N$N$‐tuples in a metric space (M,dM)$(M, d_M)$, equipped with the metric induced by the minimal total pairing distance. Given a continuous path F:(0,1)→X$F: (0,1) \rightarrow X$, we prove that there exist continuous functions f1,⋯,fN:(0,1)→M$f_1, \dots,
Charles L. Fefferman, Achilleas Vasileios Koukas, Jiayu (Jerry) Liu, Tadael Hailemelekot Mequanent   +3 more
wiley   +1 more source

Convergence Analysis of Controlled Particle Systems Arising in Deep Learning: From Finite to Infinite Sample Size. [PDF]

Appl Math Optim
Liao H, Mészáros AR, Mou C, Zhou C.
europepmc   +1 more source

Global well‐posedness and large‐time behavior for non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
wiley   +1 more source