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Numerics of stochastic parabolic differential equations with stable finite difference schemes [PDF]
, 2012 In the present article, we focus on the numerical approximation of stochastic partial differential equations of Itˆo type with space-time white noise process, in particular, parabolic equations.
M Arezoomandan, A R Soheili
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Stability of an AQCQ-functional equation in paranormed spaces
, 2012 Using the fixed point method and direct method, we prove the Hyers-Ulam stability of an additive-quadratic-cubic-quartic functional equation in paranormed ...
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Additive groups connected with asymptotic stability of some differential equations [PDF]
, 1998 summary:The asymptotic behaviour of a Sturm-Liouville differential equation with coefficient $\lambda ^2q(s),\ s\in [s_0,\infty )$ is investigated, where $\lambda \in \mathbb R$ and $q(s)$ is a nondecreasing step function tending to $\infty $ as $s ...
Elbert, Árpád
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, 2023 Stochastic Klein--Gordon--Schr\"odinger (KGS) equations are important mathematical models and describe the interaction between scalar nucleons and neutral scalar mesons in the stochastic environment.
Zhang, Xiaojing +3 more
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Additive operator-difference schemes: splitting schemes
, 2013 Applied mathematical modeling isconcerned with solving unsteady problems. This bookshows how toconstruct additive difference schemes to solve approximately unsteady multi-dimensional problems for PDEs.
Vabishchevich, Petr N
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Homomorphisms and derivations in C*-ternary algebras via fixed point method
, 2012 Park (J. Math. Phys. 47: 103512, 2006) proved the Hyers-Ulam stability of homomorphisms in C*-ternary algebras and of derivations on C*-ternary algebras for the following generalized Cauchy-Jensen additive mapping:2f(Sigma(p)(j=1) X-j/2 + Sigma(d)(j=1)y ...
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, 2007 We study difference equations of the type un+2+un=ψ(un+1) in R, with invariant curves given by x2y2+dxy(x+y)+c(x2+y2)+bxy+a(x+y)−K=0. This completes the results about “multiplicative” difference equations of the type un+2un=ψ(un+1) obtained in the ...
Bastien, G., Rogalski, M.
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, 2021 This is a type B edition: A type-B edition corresponds to a critical edition of several table witnesses: it is based on several different editions, themselves based on tables from different primary sources. A type-B edition can be based on type-A, type-B or type-C editions.
openaire +2 more sources
Approximate Solution Methods for Linear Stochastic Difference Equations. II. Inhomogeneous Equations, Multi-Time Averages, Biological Application [PDF]
, 1983 The cumulant expansion for linear stochastic difference equations introduced in part I is applied to the general case, where the equation contains multiplicative, additive and initial value terms which are all random and statistically interdependent ...
Roerdink, J.B.T.M.,, Roerdink, J.B.T.M.
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