Results 21 to 30 of about 30,351 (151)

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

Optimization of 3D‐Printed Structured Packings—Current State and Future Developments

Chemie Ingenieur Technik, EarlyView.
This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke, Sebastian Blauth, Christian Leithäuser, Thomas Grützner   +3 more
wiley   +1 more source

Martingale Problem under Nonlinear Expectations [PDF]

, 2014
We formulate and solve the martingale problem in a nonlinear expectation space. Unlike the classical work of Stroock and Varadhan (1969) where the linear operator in the associated PDE is naturally defined from the corresponding diffusion process, the ...
Guo, Xin, Pan, Chen, Peng, Shige
core  

A priori bounds for the generalised parabolic Anderson model

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra, Guilherme de Lima Feltes, Hendrik Weber   +2 more
wiley   +1 more source

Cilostazol in patients with heart failure and preserved ejection fraction—The CLIP‐HFpEF trial

ESC Heart Failure, Volume 12, Issue 2, Page 1437-1446, April 2025.
• Cilostazol is an oral PDE‐3 inhibitor that may have advantageous effects in heart failure with preserved ejection fraction (HFpEF). • Cilostazol significantly improved short‐term heart failure‐related health status scores (KCCQ‐12) and NT‐proBNP levels when compared to placebo.
Norman Aiad, Jeanne du Fay de Lavallaz, Michael J. Zhang, Thanat Chaikijurajai, Bo Ye, Prabhjot S. Nijjar, Julie A. Lahiri, Cindy M. Martin, Tamas Alexy, Markus Meyer   +9 more
wiley   +1 more source

Interpretation of in vitro concentration‐response data for risk assessment and regulatory decision‐making: Report from the 2022 IWGT quantitative analysis expert working group meeting

Environmental and Molecular Mutagenesis, EarlyView.
Abstract Quantitative risk assessments of chemicals are routinely performed using in vivo data from rodents; however, there is growing recognition that non‐animal approaches can be human‐relevant alternatives. There is an urgent need to build confidence in non‐animal alternatives given the international support to reduce the use of animals in toxicity ...
Marc A. Beal, Guangchao Chen, Kerry L. Dearfield, Min Gi, Bhaskar Gollapudi, Robert H. Heflich, Katsuyoshi Horibata, Alexandra S. Long, David P. Lovell, Barbara L. Parsons, Stefan Pfuhler, John Wills, Andreas Zeller, George Johnson, Paul A. White   +14 more
wiley   +1 more source

Can there be a general nonlinear PDE theory for the existence of solutions ?

, 2004
Contrary to widespread perception, there is ever since 1994 a unified, general type independent theory for the existence of solutions for very large classes of nonlinear systems of PDEs. This solution method is based on the Dedekind order completion of suitable spaces of piece-wise smooth functions on the Euclidean domains of definition of the ...
openaire   +2 more sources

Five types of blow-up in a semilinear fourth-order reaction-diffusion equation: an analytic-numerical approach

, 2009
Five types of blow-up patterns that can occur for the 4th-order semilinear parabolic equation of reaction-diffusion type $$ u_t= -\Delta^2 u + |u|^{p-1} u \quad {in} \quad \ren \times (0,T), p>1, \quad \lim_{t \to T^-}\sup_{x \in \ren} |u(x,t)|= +\iy, $
Bakirova M I, Bebernes J, Bricmont J, Dalmasso R, Dold J W, Egorov Yu V, Fefferman C, Frank-Kamenetskii D A, Frank-Kamenetskii D A, Galaktinov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Guo Y, Hamilton R, Herrero M A, Herrero M A, Ibragimov N H, Joulin G Mikishev A B Sivashinsky G I, Kato T, Kurdyumov S P, Kurdyumov S P, Lepin L A, Lepin L A, Leray J, Levitan B M, Loewner C, Lunardi A, Maz'ja V, Mitidieri E, Naimark M A, Nussair E S, Ovsiannikov L V, Pao C V, Peletier L A, Quittner P, Samarskii A A, Semenov N, Svirshchevskii S R, Svirshchevskii S R, Tao T, V A Galaktionov, Velazquez J J L, Zel'dovich Ya B   +52 more
core   +2 more sources

Severity of effect considerations regarding the use of mutation as a toxicological endpoint for risk assessment: A report from the 8th International Workshop on Genotoxicity Testing (IWGT)

Environmental and Molecular Mutagenesis, EarlyView.
Abstract Exposure levels without appreciable human health risk may be determined by dividing a point of departure on a dose–response curve (e.g., benchmark dose) by a composite adjustment factor (AF). An “effect severity” AF (ESAF) is employed in some regulatory contexts.
Barbara L. Parsons, Marc A. Beal, Kerry L. Dearfield, George R. Douglas, Min Gi, B. Bhaskar Gollapudi, Robert H. Heflich, Katsuyoshi Horibata, Michelle Kenyon, Alexandra S. Long, David P. Lovell, Anthony M. Lynch, Meagan B. Myers, Stefan Pfuhler, Alisa Vespa, Andreas Zeller, George E. Johnson, Paul A. White   +17 more
wiley   +1 more source

Numerical schemes for the optimal input flow of a supply-chain

, 2012
An innovative numerical technique is presented to adjust the inflow to a supply chain in order to achieve a desired outflow, reducing the costs of inventory, or the goods timing in warehouses.
D'Apice, Ciro, Manzo, Rosanna, Piccoli, Benedetto   +2 more
core   +1 more source