Results 31 to 40 of about 26,029 (108)

Numerical Solutions of ODEs using Volterra Series [PDF]

, 2006
We propose a numerical approach for solving systems of nonautonomous ordinary di®erential equations under suitable assumptions. This approach is based on expansion of the solutions by Volterra series and allows to estimate the accuracy of the ...
Kirov, Nikolay, Krastanov, Michail
core  

Navigating the Waves: The Global Pandemic's Impact on Container Shipping and Freight Rates Across Different Policy Scenarios

Naval Research Logistics (NRL), EarlyView.
ABSTRACT The COVID‐19 pandemic has reverberated across global industries, including the international container shipping industry, where freight rates have become highly volatile. However, shipping lines appeared to thrive, particularly during the pandemic's initial 2 years.
Shiyuan Zheng, Changmin Jiang
wiley   +1 more source

Nonlinear Differential Equations Satisfied by Certain Classical Modular Forms

, 2010
A unified treatment is given of low-weight modular forms on \Gamma_0(N), N=2,3,4, that have Eisenstein series representations. For each N, certain weight-1 forms are shown to satisfy a coupled system of nonlinear differential equations, which yields a ...
A. Enneper, B. Pol van der, B. Schoeneberg, B.C. Berndt, B.C. Berndt, B.C. Berndt, C.G.J. Jacobi, F. Diamond, F. Tricomi, F.J. Bureau, H. Hahn, H. Rademacher, H.L. Resnikoff, H.W. Leopoldt, J. Chazy, J. Harnad, J.M. Borwein, J.W.L. Glaisher, J.W.L. Glaisher, K. Ono, K. Takeuchi, K. Takeuchi, L. Ehrenpreis, L.R. Ford, M. Kaneko, M.J. Ablowitz, N. Heninger, N.J. Fine, P.A. Clarkson, P.F. Stiller, R.A. Rankin, R.A. Rankin, R.A. Rankin, R.S. Maier, Robert S. Maier, S. Chakravarty, S.C. Milne, V. Ramamani, W. Zudilin, Y. Martin, Y. Ohyama   +40 more
core   +1 more source

Mathematical Modeling of Neuroinflammation in Neurodegenerative Diseases

CPT: Pharmacometrics &Systems Pharmacology, EarlyView.
ABSTRACT Age‐related neurodegenerative diseases such as amyotrophic lateral sclerosis (ALS), Alzheimer's disease (AD) and Parkinson's disease (PD) are an increasing public health concern. Whereas the pathology of these diseases is complex, chronic central inflammation, or neuroinflammation, is commonly observed across many neurodegenerative diseases ...
Alex Foster‐Powell, Amin Rostami‐Hodjegan, Guy Meno‐Tetang, Donald E. Mager, Kayode Ogungbenro   +4 more
wiley   +1 more source

A Tale of Two Distributions: From Few To Many Vortices In Quasi-Two-Dimensional Bose-Einstein Condensates

, 2014
Motivated by the recent successes of particle models in capturing the precession and interactions of vortex structures in quasi-two-dimensional Bose-Einstein condensates, we revisit the relevant systems of ordinary differential equations. We consider the
Carretero-Gonzalez, R., Kevrekidis, P. G., Kolokolnikov, T.   +2 more
core   +1 more source

The Human Cardiac “Age‐OME”: Age‐Specific Changes in Myocardial Molecular Expression

Aging Cell, EarlyView.
A multi‐omics analysis was performed to uncover the molecular landscape of human cardiac ageing. We report several insights for the first time: a decrease in proteins composing the structural machinery of the heart; a likely compensatory increase in energetic flux and redox reductive capacity; and an increase in lysosomal activity.
Cassandra Malecki, Giovanni Guglielmi, Benjamin Hunter, Dylan Harney, Yen Chin Koay, Anthony. S. Don, Oscar Han, Jasmine Khor, Lisa Nguyen, Michael Pan, Peter Gawthrop, Nathan Isles, Joshua Chung, Robert. D. Hume, Matthew Taper, XiaoSuo Wang, Mark Larance, Fabian Spill, Vijay Rajagopal, John F. O’Sullivan, Sean Lal   +20 more
wiley   +1 more source

Galois differential algebras and categorical discretization of dynamical systems [PDF]

, 2015
A categorical theory for the discretization of a large class of dynamical systems with variable coefficients is proposed. It is based on the existence of covariant functors between the Rota category of Galois differential algebras and suitable categories
Tempesta, Piergiulio
core  

New results on group classification of nonlinear diffusion-convection equations

, 2003
Using a new method and additional (conditional and partial) equivalence transformations, we performed group classification in a class of variable coefficient $(1+1)$-dimensional nonlinear diffusion-convection equations of the general form $f(x)u_t=(D(u ...
Abramenko A A, Akhatov I Sh, Akhatov I Sh, Akhatov I Sh, Amerov T K, Ames W F, Ames W F, Barenblatt G I, Barenblatt G I, Basarab-Horwath P, Boyko V M, Dorodnitsyn V A, El-labany S K, Gagnon L, Kaptsov O V, King J R, Kingston J G, Kingston J G, Lahno V I, Lahno V I, Lie S, Lie S, Malfliet W, Mubarakzyanov G M, Nataliya M Ivanova, Nikitin A G, Ovsiannikov L V, Ovsiannikov L V, Patera J, Polyanin A D, Popovych R O, Popovych R O, Popovych R O, Roman O Popovych, Sophocleous C, Sophocleous C, Vasilenko O F, Zhdanov R Z   +37 more
core   +4 more sources

Fourth order Superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials

, 2017
A study is presented of two-dimensional superintegrable systems separating in Cartesian coordinates and allowing an integral of motion that is a fourth order polynomial in the momenta.
Marquette, Ian, Sajedi, Masoumeh, Winternitz, Pavel   +2 more
core   +1 more source

Measure‐valued processes for energy markets

Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.
Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero, Luca Di Persio, Francesco Guida, Sara Svaluto‐Ferro   +3 more
wiley   +1 more source