Results 51 to 60 of about 85,369,012 (181)

Traveling Fronts for (q,r)$(q, r)$‐Relativistic Operators: Existence and Asymptotic Properties

Mathematische Nachrichten, EarlyView.
ABSTRACT A new reaction–diffusion model governed by a (q,r)$(q, r)$‐relativistic type diffusion, generalizing the p$p$‐relativistic one and encompassing singular and/or degenerate diffusivity, is introduced. In the monostable case, some existence results for (decreasing) fronts are then provided, exploiting the study of a suitable two‐point problem ...
Pavel Drábek, Maurizio Garrione, Michaela Zahradníková   +2 more
wiley   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Optimal Design of Elastic Plates: Hybrid Numerical Method Based on Homogenization and Shape Derivative

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper focuses on optimal design problems in the context of the Kirchhoff‐Love model for pure bending of a thin, solid, symmetric plate under a transverse load. The objective is to simultaneously determine the optimal outer shape of the domain and the distribution of two isotropic materials within the domain in order to minimize compliance.
Ivana Crnjac, Jelena Jankov Pavlović, Petar Kunštek   +2 more
wiley   +1 more source

Computing Skinning Weights via Convex Duality

Computer Graphics Forum, EarlyView.
We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley   +1 more source

Mesh Processing Non‐Meshes via Neural Displacement Fields

Computer Graphics Forum, EarlyView.
Abstract Mesh processing pipelines are mature, but adapting them to newer non‐mesh surface representations—which enable fast rendering with compact file size—requires costly meshing or transmitting bulky meshes, negating their core benefits for streaming applications.
Yuta Noma, Zhecheng Wang, Chenxi Liu, Karan Singh, Alec Jacobson   +4 more
wiley   +1 more source

Introduction to inverse problems for differential equations

, 2017
This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed
Hasanov Hasanoğlu, Alemdar, Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov, Romanov, Vladimir G   +3 more
core   +1 more source

Differentiable Randers‐Finsler Eikonal Solvers

Computer Graphics Forum, EarlyView.
Abstract Fast and differentiable solvers for anisotropic and asymmetric distance fields are a key primitive in geometry processing, enabling gradient‐based optimization over metrics, drift fields, and downstream objectives that depend on geodesic distances and geodesics.
Barak Gahtan, Jacob Shpund, Alex M. Bronstein   +2 more
wiley   +1 more source

The Evolution of Interest‐Rate Models: From the Yield Curve to the Swaption Cube

Journal of Economic Surveys, EarlyView.
ABSTRACT Interest‐rate modelling is often taught as a catalogue of competing stochastic equations, obscuring why models were created and why modern sell‐side desks use several simultaneously. This survey reorganises the field around five layers of a pricing architecture: curve construction; arbitrage‐free dynamics; volatility‐smile representation ...
Xuan Feng, Salman Huseynov, Diomides Mavroyiannis   +2 more
wiley   +1 more source

A nonsmooth primal-dual method with interwoven PDE constraint solver [PDF]

We introduce an efficient first-order primal-dual method for the solution of nonsmooth PDE-constrained optimization problems. We achieve this efficiency through not solving the PDE or its linearisation on each iteration of the optimization method ...
Valkonen, T, Jensen, Bjørn, Valkonen, Tuomo, Jensen, B   +3 more
core   +1 more source

Equilibrium Reward for Liquidity Providers in Automated Market Makers

Mathematical Finance, EarlyView.
ABSTRACT We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader–follower stochastic game, where the venue is the leader and a representative LP is the follower.
Alif Aqsha, Philippe Bergault, Leandro Sánchez‐Betancourt   +2 more
wiley   +1 more source