Results 11 to 20 of about 1,157 (82)

Dispersionless integrable hierarchies and GL(2,R) geometry [PDF]

, 2018
Paraconformal or $GL(2)$ geometry on an $n$-dimensional manifold $M$ is defined by a field of rational normal curves of degree $n-1$ in the projectivised cotangent bundle $\mathbb{P} T^*M$.
Ferapontov, E. V., Kruglikov, B.
core   +2 more sources

Geometry of jet spaces and integrable systems [PDF]

, 2011
An overview of some recent results on the geometry of partial differential equations in application to integrable systems is given. Lagrangian and Hamiltonian formalism both in the free case (on the space of infinite jets) and with constraints (on a PDE)
Ablowitz, Alexander Verbovetsky, Anderson, Astashov, Astashov, Barakat, Baran, Barnich, Belinskii, Bluman, Bluman, Bocharov, Bryant, Bryant, Bäcklund, Camassa, Cartan, Chetverikov, Chetverikov, Cieśliński, Cieśliński, Courant, Darboux, De Sole, Dickey, Dodd, Dodd, Dorfman, Drinfel’d, Dubrovin, Dubrovin, Dudnikov, Faddeev, Filippov, Gardner, Gardner, Gardner, Gel’fand, Getzler, Goldschmidt, Golovko, Golovko, Gomis, Harrison, Henneaux, Henneaux, Hirota, Ibragimov, Igonin, Janet, Joseph Krasil’shchik, Karasu-Kalkanlı, Kaup, Kersten, Kersten, Kersten, Kersten, Kersten, Kersten, Khor’kova, Krasil’shchik, Krasil’shchik, Krasil’shchik, Krasil’shchik, Kruglikov, Kruskal, Kupershmidt, Kupershmidt, Kushner, Lewis, Lie, Lie, Lie, Magri, Magri, Maison, Maison, Manin, Marvan, Marvan, Marvan, Marvan, Mikhailov, Miura, Miura, Morse, Novikov, Odesskii, Olver, Olver, Ovsiannikov, Pommaret, Popovych, Riquier, Rogers, Rogers, Saunders, Saunders, Seiler, Sergyeyev, Spencer, Stephani, Su, Svinolupov, Takens, Tsarev, Tsujishita, Tsujishita, Tulczyjew, Verbovetsky, Verbovetsky, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vitolo, Wahlquist, Wahlquist, Zakharov   +122 more
core   +1 more source

Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity [PDF]

, 2012
For the hyperbolic system of quasilinear first-order partial differential equations, linearizable by hodograph transformation, the conservation laws are used to solve the Cauchy problem.
Senashov, Sergey I., Yakhno, Alexander
core   +2 more sources

Symmetry and Lie-Frobenius reduction of differential equations

, 2014
Twisted symmetries, widely studied in the last decade, proved to be as effective as standard ones in the analysis and reduction of nonlinear equations. We explain this effectiveness in terms of a Lie-Frobenius reduction; this requires to focus not just ...
Gaeta, Giuseppe
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

Frobenius 3-Folds via Singular Flat 3-Webs [PDF]

, 2012
We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ satisfying the following conditions: 1) the web germ ...
Agafonov, Sergey I.
core   +7 more sources

Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley   +1 more source

Implicit Third‐Order Peer Triplets with Variable Stepsizes for Gradient‐Based Solutions in Large‐Scale ODE‐Constrained Optimal Control

Optimal Control Applications and Methods, Volume 47, Issue 2, Page 570-588, March/April 2026.
Implicit third‐order Peer two‐step methods that are superconvergent for variable stepsizes have the potential to significantly improve the efficiency of solving large‐scale ODE‐constrained optimal control problems. These include real‐world applications in medical treatment planning for prostate cancer, such as the design of effective three‐dose drug ...
Jens Lang, Bernhard A. Schmitt
wiley   +1 more source

The Arctic Coastal Erosion Model: Overview, Developments, and Calibration at Drew Point, Alaska

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.
Abstract Permafrost coastlines are experiencing significant erosion as polar amplification has enhanced the effects of climate change in the Arctic. Warmer temperatures are increasing thermo‐denudation and more energetic oceans are increasing thermo‐abrasion in unlithified, ice‐bonded permafrost coastlines which comprise at least 40% of the circum ...
Elyce Bayat, Diana L. Bull, Jennifer M. Frederick, Alejandro Mota, Benjamin M. Jones, Irina Tezaur, Christopher Flanary, Emily M. Bristol, Melissa Ward Jones, Robert C. Choens, Craig A. Jones   +10 more
wiley   +1 more source

A study of positive energy condition in Bianchi V spacetimes via Noether symmetries [PDF]

, 2016
In this paper we use Noether symmetries of the geodesic Lagrangian in Bianchi V spacetimes to study various cosmological solutions of Einstein's field equations.
Ali, Sajid, Hussain, Ibrar
core   +2 more sources