Results 11 to 20 of about 36,515 (306)
Solvable Nonlinear Evolution PDEs in Multidimensional Space [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2006 A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type.
Francesco Calogero, Matteo Sommacal
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Geometry of PDEs and Mechanics [PDF]
, 1996 Algebraic Geometry: Algebraic Complements, Affine spaces, Differential Manifolds, Grassmann Manifolds, Spectral Sequences. 2. Differential Equations (PDES): Geometry of Differential Equations, Ordinary Differential Equations (ODEs), Characteristics of PDEs, Affine PDEs and Green Functions, Spectral Sequences in PDEs, Tunnel Effects in PDEs, Cobordism ...
PRASTARO, Agostino
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Multilevel CNNs for parametric PDEs [PDF]
, 2023 We combine concepts from multilevel solvers for partial differential equations (PDEs) with neural network based deep learning and propose a new methodology for the efficient numerical solution of high-dimensional parametric PDEs.
Heiß, Cosmas +2 more
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Stochastic PDEs with multiscale structure [PDF]
, 2012 We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise.
Martin Hairer +3 more
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Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]
, 2013 Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Hauret, P. +12 more
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Rocky Mountain Journal of Mathematics, 2004 Based on the first author's construction of hyperreal numbers and hyperfunctionals [Lect. Notes Pure Appl. Math. 238, 81--117, Dekker, New York (2004; Zbl 1094.46508)]. The present paper investigates solvability of linear first order Cauchy problems in a similar setting of generalized functions, the space of extrafunctions.
Burgin, Mark, Ralston, James
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Equivalent transformations and exact solutions to the generalized cylindrical KdV type of equation
Nuclear Physics B, 2020 In this paper, by constructing equivalent transformations (ETs) of the generalized cylindrical KdV (cKdV) types of equations, we transform the variable-coefficient partial differential equations (vc-PDEs) into constant-coefficient PDEs (cc-PDEs) under ...
Hanze Liu +3 more
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