Results 101 to 110 of about 52,350 (200)

Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics

Advanced Quantum Technologies, EarlyView.
Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams, Antonio A. Gentile, Vincent E. Elfving, Daniel Berger, Oleksandr Kyriienko   +4 more
wiley   +1 more source

Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction

Symmetry, Integrability and Geometry: Methods and Applications, 2011
A novel symmetry method for finding exact solutions to nonlinear PDEs is illustrated by applying it to a semilinear reaction-diffusion equation in multi-dimensions.
Stephen C. Anco, Sajid Ali, Thomas Wolf
doaj   +1 more source

Physics‐Driven Deep Neural Networks for Solving the Optimal Transport Problem Associated With the Monge–Ampère Equation

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Monge–Ampère equations (MAEs) are fully nonlinear second‐order partial differential equations (PDEs), which are closely related to various fields including optimal transport (OT) theory, geometrical optics and affine geometry. Despite their significance, MAEs are extremely challenging to solve.
Xinghua Pan, Zexin Feng, Kang Yang
wiley   +1 more source

Monetary Policy and Wealth Effects: The Role of Risk and Heterogeneity

The Journal of Finance, EarlyView.
ABSTRACT We study the role of asset revaluation in the monetary transmission mechanism. We build an analytical heterogeneous‐agents model with two main ingredients: (i) rare disasters and (ii) heterogeneous beliefs. The model captures time‐varying risk premia and precautionary savings in a setting that nests the textbook New Keynesian model.
NICOLAS CARAMP, DEJANIR H. SILVA
wiley   +1 more source

Traveling-Wave Solutions of Several Nonlinear Mathematical Physics Equations

Mathematics
This paper deals with several nonlinear partial differential equations (PDEs) of mathematical physics such as the concatenation model (perturbed concatenation model) from nonlinear fiber optics, the plane hydrodynamic jet theory, the Kadomtsev ...
Petar Popivanov, Angela Slavova
doaj   +1 more source

A five-dimensional solitary-wave first order nonlinear PDE integrable by dressing method

, 2015
We derive a five-dimensional nonlinear first order matrix PDE which is a generalization of the completely integrable (2+1)-dimensional $N$-wave equation. Similar to the $\bar\partial$-problem, our algorithm is based on the linear integral equation of special form.
openaire   +2 more sources

The Structure of Lie Algebras and the Classification Problem for Partial Differential Equations

, 2000
The present paper solves completely the problem of the group classification of nonlinear heat-conductivity equations of the form\ $u_{t}=F(t,x,u,u_{x})u_{xx} + G(t,x,u,u_{x})$.
Basarab-Horwath, P., Lahno, V., Zhdanov, R.   +2 more
core   +1 more source

Macroscopic Market Making Games

Mathematical Finance, EarlyView.
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley   +1 more source

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2510-2531, 15 March 2026.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin, Simone Nati Poltri, Clair Poignard   +2 more
wiley   +1 more source

A Geometric Reduction Method for Some Fully Nonlinear First-Order PDEs on Semi-Riemannian Manifolds

Given a semi-Riemannian manifold $(M,\langle \cdot,\cdot\rangle_g),$ we use the transnormal functions defined on $M$ to reduce fully nonlinear first order PDEs of the form \[ F(x,u,\langle \nabla_g u, \nabla_g u \rangle_g) = 0,\qquad \text{on }M \] into ODEs and obtain local existence results of solutions which are constant along the level sets of the ...
Juan Carlos Fernández, Eddaly Guerra-Velasco, Oscar Palmas, Boris A. Percino-Figueroa   +3 more
openaire   +2 more sources