Haut PDF Loop equations from differential systems
Loop equations from differential systems
... 2 systems, proving condition 4 for WKB- Lax systems, not relying on an insertion operator, but only relying on loop ...obtained from the opposite end: assuming only topolog- ical recursion, we ...
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Rational differential systems, loop equations, and application to the q-th reductions of KP
... integrable systems – nor obvious to establish for a given ...clear from the technical results of Section ...the loop equations to determine completely the holomorphic ...
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Solving Partial Differential Equations with Chaotic Asynchronous Schemes in Multi- Interaction Systems
... partial differential equations (PDEs), as they can appear to model natural ...self from classical methods as finite differences meth- ods, finite element method, finite volume method (see [14] for ...
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Unfolded singularities of analytic differential equations
... taken from a ramified sector of opening > 2π (or √ from a sector of opening > π), thus covering a full neighborhood of the origin in the parameter space (including those parameters values for which ...
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Autonomous learning of parameters in differential equations
... Pablo Meyer, Thomas Cokelaer, Deepak Chandran, Kyung H Kim, Po-Ru Loh, George Tucker, Mark Lipson, Bonnie Berger, Clemens Kreutz, Andreas Raue, et al. Network topology and parameter estimation: from experimental ...
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Mean field rough differential equations
... for systems of interacting rough dynamics subject to a common ...with systems of particles driven by non-independent ...different from the results obtained here – see [14] for a result in this ...
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In-Domain Control of Partial Differential Equations
... From the perspective of actuator locations, PDE control generally consists of boundary control and in-domain ...finite-dimensional systems by discretizing the original infinite-dimensional ...control ...
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Determinantal formulae and loop equations
... both loop equations [12], and determinantal formulae [19, 13, 9, 20, ...(loop equations and determinantal formulae) exist beyond matrix ...tained from determinants of the ...
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Internal observability for coupled systems of linear partial differential equations
... inequality from ( ...[29], systems of heat equations with (time and space-varying) zero-order coupling terms are treated by means of Carleman estimates, but the proof only works under the condition ...
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Systems of Differential-Algebraic Equations Encountered in the Numerical Modeling of High-Temperature Superconductors
... the systems of DAE encountered in the numerical modeling of HTS devices using the FEM with edge elements for a 2-D ...the equations in space and identify the resulting system of ...index from 2 to 1 ...
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Fully nonlinear stochastic partial differential equations: non-smooth equations and applications
... Resume : Dans cette note, nous etendons les resultats decrits dans une note precedente au cas d'Hamiltoniens non reguliers pour des equations aux derivees partielles stochas- tiques completement ...
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Stochastic Homogenization of Reflected Stochastic Differential Equations
... medium is a well-known problem that remains unsolved yet. There are several difficulties in this framework that make the classical machinery of diffusions in random media (i.e. without reflection) fall short of ...
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Isogeometric methods for hyperbolic partial differential equations
... The design of free-from shapes by mathematical methods is a discipline, named computer-aided-design (CAD). It had its origins slightly later than the computer-aided-engineering (CAE). In fact, CAD is the use of ...
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Growth and oscillation of differential polynomials generated by complex differential equations
... the differential equation f 000 + A(z)f = 0, ...the differential polynomial generated by solutions lies in the calculation of the coefficients α i,j ...
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Switching Game of Backward Stochastic Differential Equations and Associated System of Obliquely Reflected Backward Stochastic Differential Equations
... takes values in ¯ Q . Then RBSDE (1.5) has an adapted solution (Y, Z, K, L) in S 2 × M 2 × (N 2 ) 2 . We first sketch the proof. Sketch of the Proof: The proof is divided into five subsections. In Subsection 3.1, we ...
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Boundary value problems for fractional differential equations
... fractional differential and partial differential equations in recent years; see the monographs of Kilbas et al [17], Miller and Ross [23], Samko et al [30] and the papers of Delbosco and Rodino [4], ...
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Fractional order differential equations involving Caputo derivative
... Su, X. (2009). Boundary value problem for a coupled system of nonlinear fractional differential equations. Applied Mathematics Letters. 22(1), 64–69. Yang, W. (2012). Positive solutions for a coupled ...
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Cache Calculus: Modeling Caches through Differential Equations
... to understand and model. In particular, prior work does not provide closed-form solutions of cache performance, i.e. simple expressions for the miss rate of a specific access pattern. Existing cache models instead use ...
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Cache Calculus: Modeling Caches through Differential Equations
... 2 B ACKGROUND Cache models try to predict the cache’s hit rate using a probabilistic description of the access pattern and a description of the cache (e.g., its size). Prior models [1, 3, 4, 5, 6, 8] aim to provide an ...
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Multidimensional stochastic differential equations with distributional drift
... stochastic differential equations with generalized coefficients, it is difficult to quote them all: in particular, we refer to the case when b is a measure, [4, 7, 18, ...ential equations with ...
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