A mathematical framework for inverse wave problems in heterogeneous media
This paper provides a theoretical foundation for some common formulations of inverse problems in wave propagation, based on hyperbolic systems of linear integro-differential equations with bounded and measurable coefficients.
Blazek, Kirk D. +2 more
core +2 more sources
Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction
ABSTRACT Model reduction is an active research field to construct low‐dimensional surrogate models of high fidelity to accelerate engineering design cycles. In this work, we investigate model reduction for linear structured systems using dominant reachable and observable subspaces.
Celine Reddig +3 more
wiley +1 more source
Several Characterizations of the Generalized 1-Parameter 3-Variable Hermite Polynomials
This paper presents a novel framework for introducing generalized 1-parameter 3-variable Hermite polynomials. These polynomials are characterized through generating functions and series definitions, elucidating their fundamental properties.
Shahid Ahmad Wani +2 more
doaj +1 more source
Backward SDE Representation for Stochastic Control Problems with Non Dominated Controlled Intensity [PDF]
We are interested in stochastic control problems coming from mathematical finance and, in particular, related to model uncertainty, where the uncertainty affects both volatility and intensity.
Choukroun, Sébastien, Cosso, Andrea
core +2 more sources
Inducing Chirality and Chiral Instabilities in Ferrogels with Homogenous Magnetic Fields
By pre‐aligning magnetic particles into chains, significant chiral deformations are induced by fixing the base of a cylindrical actuator and applying a homogeneous magnetic field. Subsequent base rotation can drive the system into metastable states. Further rotation or reduction of field strength triggers a chiral instability, characterized by a switch
Francisco J. Vazquez‐Perez +4 more
wiley +1 more source
Feynman-Kac representation for Hamilton-Jacobi-Bellman IPDE
We aim to provide a Feynman-Kac type representation for Hamilton-Jacobi-Bellman equation, in terms of forward backward stochastic differential equation (FBSDE) with a simulatable forward process.
Kharroubi, Idris, Pham, Huyên
core +2 more sources
On the Noisy Road to Open Quantum Dynamics: The Place of Stochastic Hamiltonians
Stochastic Hamiltonian formulations of open quantum dynamics are revisited, highlighting their roots in stochastic calculus. The connections among stochastic Hamiltonians, stochastic Schrödinger equations, and master‐equation approaches are made explicit.
Pietro De Checchi +3 more
wiley +1 more source
Bounder solution on a strip to a system of nonlinear hyperbolic equations with mixed derivatives
The system of nonlinear hyperbolic equations with mixed derivatives is considered on the strip. Time variable of the unknown function changes on the whole axis, and the spatial variable belongs to a finite interval.
D.S. Dzhumabaev, S.M. Temesheva
doaj +1 more source
In this paper, we consider the initial boundary value problem for a class of nonlinear fractional partial integro-differential equations of mixed type with non-instantaneous impulses in Banach spaces.
Bo Zhu +3 more
doaj +1 more source
Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation
We study a deterministic version of a one- and two-dimensional attractor neural network model of hippocampal activity first studied by Itskov et al 2011.
Ermentrout, G. Bard, Park, Youngmin
core +1 more source

