Results 11 to 20 of about 47,540 (308)
Novel Second-Order Accurate Implicit Numerical Methods for the Riesz Space Distributed-Order Advection-Dispersion Equations [PDF]
Advances in Mathematical Physics, 2015 We derive and analyze second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations (RSDO-ADE) in one-dimensional (1D) and two-dimensional (2D) cases, respectively.
X. Wang, F. Liu, X. Chen
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On implicit systems of differential equations
Journal of Differential Equations, 2003 The author studies implicit autonomous systems of ordinary differential equations with polynomial dependency on both the unknown functions and their derivatives. This allows him to make heavy use of methods from commutative algebra and algebraic geometry in his analysis.
Leon Pritchard, F.
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Solvability of Implicit Difference Equations
, 2015 This article concerns sufficient conditions for the solvability of implicit difference equations. These are cast in a very general framework that relies on the α-covering and Lipschitz properties of the implicit recursive map with respect relatively to the first and second arguments.
Arutyunov A., Pereira F., Zhukovskiy S.
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Implicit Integral Equations with Discontinuous Nonlinearities [PDF]
Journal of Integral Equations and Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Candito P.
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Semi-Implicit Multistep Extrapolation ODE Solvers
Mathematics, 2020 Multistep methods for the numerical solution of ordinary differential equations are an important class of applied mathematical techniques. This paper is motivated by recently reported advances in semi-implicit numerical integration methods, multistep and
Denis Butusov +4 more
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Adaptive time-stepping for incompressible flow. Part II: Navier-Stokes equations [PDF]
, 2010 We outline a new class of robust and efficient methods for solving the Navier–Stokes equations. We describe a general solution strategy that has two basic building blocks: an implicit time integrator using a stabilized trapezoid rule with an explicit ...
D.J. Silvester +17 more
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Advances in Aerodynamics, 2022 In this paper, we present a mesh adaptation algorithm for the unsteady compressible Navier-Stokes equations under the framework of local discontinuous Galerkin methods coupled with implicit-explicit Runge-Kutta or spectral deferred correction time ...
Xiangyi Meng, Yan Xu
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Implicitization of rational parametric equations
Journal of Symbolic Computation, 1992 The paper adresses the implicitization problem for rational parametric equations and presents algorithms based on the Gröbner basis method. The authors give methods: to compute a basis of the implicit ideal for a set of rational parametric equations; to reparametrize a set of parametric equations so that the parameters of the new parametric equations ...
Xiao-Shan Gao, Shang-Ching Chou
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Implicit Equations Involving the p-Laplace Operator [PDF]
Mediterranean Journal of Mathematics, 2021 AbstractIn this work we study the existence of solutions$$u \in W^{1,p}_0(\Omega )$$u∈W01,p(Ω)to the implicit elliptic problem$$ f(x, u, \nabla u, \Delta _p u)= 0$$f(x,u,∇u,Δpu)=0in$$ \Omega $$Ω, where$$ \Omega $$Ωis a bounded domain in$$ {\mathbb {R}}^N $$RN,$$ N \ge 2 $$N≥2, with smooth boundary$$ \partial \Omega $$∂Ω,$$ 1< p< \infty $$1<p ...
Greta Marino, Andrea Paratore
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Mittag-Leffler Euler ∇-differences for Caputo fractional-order systems
Results in Physics, 2022 Exponential Euler differences have got rapid development recently for integer-order differential equations. But there are few papers focusing on this difference to fractional differential equations.
Tianwei Zhang, Yongkun Li, Jianwen Zhou
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