Epsilon Expansion for Multicritical Fixed Points and Exact Renormalisation Group Equations
, 2020 The Polchinski version of the exact renormalisation group equations is applied to multicritical fixed points, which are present for dimensions between two and four, for scalar theories using both the local potential approximation and its extension, the ...
Bagnuls +34 more
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Multipoint model order reduction of delayed PEEC systems [PDF]
, 2011 We present a new model order reduction technique for electrically large systems with delay elements, which can be modeled by means of neutral delayed differential equations.
Antonini, Giulio +5 more
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Solution of the dispersionless Hirota equations [PDF]
, 1995 The dispersionless differential Fay identity is shown to be equivalent to a kernel expansion providing a universal algebraic characterization and solution of the dispersionless Hirota equations.
+42 more
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A possible theory of partial differential equations
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 The current gold standard for solving [nonlinear] partial differential equations, or [N]PDEs, is the simplest equation method, or SEM. Another prior technique for solving such equations, the G'/G-expansion method, appears to branch from the simplest ...
R. Jackson
doaj +1 more source
Evaluating `elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points [PDF]
, 2018 This is a sequel of our previous paper where we described an algorithm to find a solution of differential equations for master integrals in the form of an $\epsilon$-expansion series with numerical coefficients.
Lee, Roman N. +2 more
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Residue Formulas for Prepotentials, Instanton Expansions and Conformal Blocks [PDF]
, 2016 We study the extended prepotentials for the S-duality class of quiver gauge theories, considering them as quasiclassical tau-functions, depending on gauge theory condensates and bare couplings.
Gavrylenko, P., Marshakov, A.
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Exact Solutions for Some Fractional Differential Equations
Advances in Mathematical Physics, 2015 The extended Jacobi elliptic function expansion method is used for solving fractional differential equations in the sense of Jumarie’s modified Riemann-Liouville derivative.
Abdullah Sonmezoglu
doaj +1 more source
Uniform Convergence of the Spectral Expansion for a Differential Operator with Periodic Matrix Coefficients [PDF]
, 2007 In this paper, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and the quasiperiodic boundary conditions. Using these asymptotic formulas,
Veliev, O. A.
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A spectral-based numerical method for Kolmogorov equations in Hilbert spaces
, 2016 We propose a numerical solution for the solution of the Fokker-Planck-Kolmogorov (FPK) equations associated with stochastic partial differential equations in Hilbert spaces.
Delgado-Vences, Francisco J. +1 more
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Non-Perturbative Renormalization Group calculation of the scalar self-energy [PDF]
, 2006 We present the first numerical application of a method that we have recently proposed to solve the Non Perturbative Renormalization Group equations and obtain the n-point functions for arbitrary external momenta.
Bagnuls +30 more
core +3 more sources