Results 91 to 100 of about 8,054 (259)
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
A nonlocal problem for fourth order hyperbolic equations with multiple characteristic
Electronic Journal of Differential Equations, 2002 In this paper, we study fourth order differential equations with multiple characteristics and dominated low terms. We prove the existence and uniqueness of a Riemann function for this equation, and then provide an integral representation of the general ...
Bidzina Midodashvili
doaj
Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
AIMS MathematicsThis paper studied the Riemann problem for the non-isentropic Chaplygin gas magnetogasdynamics equations and investigated the general asymptotic behavior of its Riemann solutions.
Jingye Zhao +3 more
doaj +1 more source
A degeneration of two-phase solutions of focusing NLS via\n Riemann-Hilbert problems [PDF]
, 2014 Marco Bertola, Pietro Giavedoni
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Locally Adaptive Non‐Hydrostatic Shallow Water Extension for Moving Bottom‐Generated Waves
International Journal for Numerical Methods in Fluids, Volume 98, Issue 2, Page 159-173, February 2026.This study proposes a locally adaptive non‐hydrostatic model, which is based on the non‐hydrostatic extension of the shallow water equations (SWE) with a quadratic pressure relation, and applies it to wave propagation generated by a moving bottom. To obtain the locally adaptive model, we investigate several potential adaptivity criteria based on the ...
Kemal Firdaus, Jörn Behrens
wiley +1 more source
A Riemann–Hilbert problem for uncoupled BPS structures [PDF]
, 2019 Anna Barbieri
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Water Resources Research, Volume 62, Issue 2, February 2026.Abstract Targeting the issues of insufficient predictive ability and inefficient computation in two‐dimensional shallow water equations (2D‐SWEs), this study deeply couples the mesh and hydrodynamic boundary, constructing multiple 2D hydrodynamic models (run 2,640 times).
Hong Chen +4 more
wiley +1 more source
Multi-solitons in the model of an inhomogeneous optical fiber
AIMS MathematicsThis paper was concerned with the inhomogeneous optical fiber model, which was governed by a nonlinear Schrödinger equation with variable coefficients.
Jinfang Li +3 more
doaj +1 more source