Results 41 to 50 of about 3,335 (259)

Stochastic PDEs and Infinite Horizon Backward Doubly Stochastic Differential Equations

Journal of Applied Mathematics, 2012
We give a sufficient condition on the coefficients of a class of infinite horizon BDSDEs, under which the infinite horizon BDSDEs have a unique solution for any given square integrable terminal values.
Bo Zhu, Baoyan Han
doaj   +1 more source

Fostering Innovation: Streamlining Magnetocaloric Materials Research by Digitalization

Advanced Engineering Materials, EarlyView.
Magnetocaloric cooling (MCE) is an environmentally friendly refrigeration method with great potential. Optimizing MCE materials involves the preparation and screening of large quantities of samples, which in turn generates a large amount of data. A digitalization approach is presented that uses ontologies, knowledge graphs, and digital workflows to ...
Simon Bekemeier, Moritz Blum, Luana Caron, Alisa Chirkova, Philipp Cimiano, Basil Ell, Inga Ennen, Michael Feige, Maik Gaerner, Thomas Hilbig, Andreas Hütten, Günter Reiss, Tapas Samanta, Sonja Schöning, Christian Schröder, Lennart Schwan, Chris Taake, Martin Wortmann   +17 more
wiley   +1 more source

Almost Surely Exponential Stability of Numerical Solutions for Stochastic Pantograph Equations

Abstract and Applied Analysis, 2014
Our effort is to develop a criterion on almost surely exponential stability of numerical solution to stochastic pantograph differential equations, with the help of the discrete semimartingale convergence theorem and the technique used in stable analysis ...
Shaobo Zhou
doaj   +1 more source

Double barrier reflected BSDEs with stochastic Lipschitz coefficient

Modern Stochastics: Theory and Applications, 2017
This paper proves the existence and uniqueness of a solution to doubly reflected backward stochastic differential equations where the coefficient is stochastic Lipschitz, by means of the penalization method.
Mohamed Marzougue, Mohamed El Otmani
doaj   +1 more source

Is an Apple an Orange? A Large Language Model Benchmark for Candidate Term Extraction and Subclass Decisions Against Upper Ontologies in Engineering and Materials Science

Advanced Engineering Materials, EarlyView.
Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch, Maximilian Holland, Klaus Drechsler, Johannes Schilp   +3 more
wiley   +1 more source

Inverse Identification of Energy‐Dependent Laser Absorptivity in NiTi Laser Powder‐Bed Fusion via Calibrated Melt Pool Simulation

Advanced Engineering Materials, EarlyView.
A combined experimental–computational framework identifies energy‐dependent laser absorptivity for NiTi in laser powder‐bed fusion, applicable to conduction and transition modes. Single‐track experiments and thermofluid smoothed particle hydrodynamics simulations are coupled through inverse analysis of melt pool geometry.
Mohamadreza Afrasiabi, Hadi Moutablaleh, Ignatius A. Setiawan, Mehrshad Mehrpouya   +3 more
wiley   +1 more source

Multi-valued backward stochastic differential equations with regime switching

Advances in Difference Equations, 2019
The paper considers a class of multi-valued backward stochastic differential equations with subdifferential of a lower semi-continuous convex function with regime switching, whose generator is a continuous-time Markov chain with a finite state space ...
Ruijuan Deng, Yong Ren
doaj   +1 more source

Generalized BSDEs driven by RCLL martingales with stochastic monotone coefficients

Modern Stochastics: Theory and Applications, 2023
A solution is given to generalized backward stochastic differential equations driven by a real-valued RCLL martingale on an arbitrary filtered probability space.
Badr Elmansouri, Mohamed El Otmani
doaj   +1 more source

Linear Forward—Backward Stochastic Differential Equations [PDF]

Applied Mathematics and Optimization, 1999
Theorems are proved establishing conditions for the solvability of a system of coupled linear forward-backward stochastic differential equations of the form \[ dX(t)= \bigl\{AX(t)+BY(t) +CZ(t)+Db(t)\bigr\}dt +\bigl \{A_1X(t) +B_1Y(t)+ C_1Z(t)+ D_1\sigma (t)\bigr\}dW(t), \] \[ dY(t)= \bigl\{ \widehat AX(t)+ \widehat BY(t)+ \widehat CZ(t)+ \widehat D ...
openaire   +1 more source

Comparison of Triply Periodic Minimal Surface Energy Absorbers Under Uniaxial Compressive Loading

Advanced Engineering Materials, EarlyView.
This study investigates LCD 3D printed Triply Periodic Minimal Surface (TPMS) structures as mechanical energy absorbers. By comparing various base designs and layered combinations under uniaxial compression, it identifies that a Diamond‐Gyroid sandwich structure offers superior performance.
Sergej Grednev, Noah‐Lean Roschlaub, Anne Jung   +2 more
wiley   +1 more source