inear elliptic partial differential equation and system 算子(1)的阶数是偶的,且对任意一对线性无关向量七和七’,多项式(关于T) 艺a。(x)(古+:心‘)“ !区卜m恰有m’=m厂2个带负虚部的根及带有同样数目的正虚部的根,则称算子(l)是真椭圆型的(properlyel-如出).当n)3时,任一椭圆型算子均是真椭...
In this study, we propose a partial differential equation method for pricing a double-name credit-linked note (CLN) with counterparty risk in a reduced-form framework. The default correlation among the CLN issuer and the reference entities of the double-name CLN is related to the occurrence of...
For solving implicit difference systems of Sine Gordon nonlinear hyperbolic partialdifferential equation,the method of recursive decoupling is presented and discussed. 用递推去耦法解SineGordon非线性双曲型偏微分方程的隐式差分方程组。4) ADI difference scheme 交替方向隐式差分格式 1. Secondly, a compac...
An inertial form for a partial differential equation is an ordinary differential equation restricted to a finite dimensional manifold called an inertial manifold. We note that it is not known if there is an inertial manifold for 2D NSE. Nor is it known whether there is such a manifold for ...
Exact solutions for nonlinear partial differential equations via a fusion of classical methods and innovative approaches Article Open access 18 March 2024 Studying highly nonlinear oscillators using the non-perturbative methodology Article Open access 20 November 2023 Introduction...
Ordinary Differential Equations Partial Differential Equations Difference and Functional Equations Authors M. S. Sgibnev (1) Author Affiliations 1. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia Continue...
On the other hand, implicit ODE- and partial differential equation-based models17,29,30,31 can be beneficial in solving continuously defined physics problems and control tasks. Moreover, for generative modelling, continuous normalizing flows built by ODEs are the suitable choice of model as they ...
Yoo, H.: On Lp-theory of stochastic partial differential equations of divergence form with continuous coefficients. Stoch. Anal. Appl. 17, 871-894 (1999)On Lp-theory of stochastic partial differential equations of divergence form with continuous coefficients , Stochastic Anal - Yoo - 1999 () ...
inear elliptic partial differential equation and system 算子(1)的阶数是偶的,且对任意一对线性无关向量七和七’,多项式(关于T) 艺a。(x)(古+:心‘)“ !区卜m恰有m’=m厂2个带负虚部的根及带有同样数目的正虚部的根,则称算子(l)是真椭圆型的(properlyel-如出).当n)3时,任一椭圆型算子均是真椭...
James R. Kirkwood, in Mathematical Physics with Partial Differential Equations, 2013 4-3 The Exponential Form of Fourier Series In later sections we will sometimes find it convenient to express the Fourier series of a function in exponential form; that is, f(x)=∑n=−∞∞cneinx. This rep...