[PDF] Top 20 Reduced-basis Output Bound Methods for Parametrised Partial Differential Equations
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Reduced-basis Output Bound Methods for Parametrised Partial Differential Equations
... [r] ... See full document
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Numerical Solution of Sixth Order Differential Equations Arising in Astrophysics by Neural Network
... order differential equation using Hopfield neural network ...non-linear differential equations using Splines and feed forward neural ...and partial differential equations have ... See full document
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Reduced-Basis Output-Bound Methods for Elliptic Partial Differential Equations
... a reduced-basis space constructed as the span of appropriate eigenfunc- tions (in theory we can now only prove asymptotic bounding properties as N → ∞, however in prac- tice the reduced-basis ... See full document
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Multiscale Methods for Elliptic Partial Differential Equations and Related Applications
... the basis functions. These basis functions are used in the two-phase flow simulations with varying (dynamic) ...flow equations with the original (two-phase flow) boundary ...a partial analysis ... See full document
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Reliable real-time solution of parametrised elliptic partial differential equations: Application to elasticity
... But to be truly useful, the methodology — in particular the inventory of on–line codes — must reside within a special framework. This framework must permit a User to spec- ify — within a native applications context — the ... See full document
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Certified reduced basis approximation for parametrized partial differential equations and applications
... of reduced dimension O(N ) for each Online evaluation; in both the cases, classical iterative procedure - such as fixed point or Newton-type algorithms - can be ... See full document
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An overview of blackbox reduced-basis output bound methods for elliptic partial differential equations
... [r] ... See full document
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Reduced-Basis Output Bound Methods for Elliptic Partial Differential Equations
... line blakbox redued-basis output bound method.. for the predition of outputs of interest assoiated.[r] ... See full document
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Reduced-Basis Output-Bound Methods for Elliptic Partial Differential Equations
... [r] ... See full document
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Blackbox reduced-basis output bound methods for shape optimisation
... blackbox reduced-basis output bound method for the prediction of outputs of coercive partial differential equations with affine param- eter ...the reduced-basis space ... See full document
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Quadratic spline solution of Calculus of Variation Problems
... have basis with small support, many of the integral that occur in the numerical methods are ...numerical methods to get the solution of the differential ...Numerical methods with spline ... See full document
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Stability of Quasilinear Dynamic Systems with after Effect
... of methods of system analysis of dynamics of controllable systems with aftereffect is stipulated both with wide scope of applied problems, among which the major problems consist of control of complex engineering ... See full document
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Application of modified simple equation method to Burgers, Huxley and Burgers-Huxley equations
... In this paper, modified simple equation method has been applied to ob- tain generalized solutions of Burgers, Huxley equations and combined forms of these equations. The new exact solutions of these ... See full document
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An Upwind-mixed Finite Element Method with Moving Grids for Quasi-nonlinear Sobolev Equations
... two methods. The convection term of Sobolev equations is approximated by the upwind method, and the diffusion term is discretized by an expanded mixed finite element ... See full document
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Multiscale Model Reduction Methods for Deterministic and Stochastic Partial Differential Equations
... Due to the wide range of scales in these solutions, it is extremely challenging to resolve the small scales of the solutions by direct numerical simulation. Tremendous computational resources are required to solve for ... See full document
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Two Analytical Methods for Fractional Partial Differential Equations with Proportional Delay
... From Figures 1-6, it is clear that we get very good approximate solutions through RPSM and HATM. There are nearly no differences between the graphs of numerical solutions obtained by two methods. It should also be ... See full document
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Solving high-order partial differential equations with indirect radial basis function networks
... governing equations (35)-(36). By discretizing the governing equations at a set of interior points and then imposing the given Dirichlet boundary conditions, a square system of algebraic equations ... See full document
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An efficient indirect RBFN-based method for numerical solution of PDEs
... numerical methods, Atluri and Zhu [18] gave the defini- tion of a truly meshless ...meshless methods as they use RBFNs and point ...new basis functions from RBFs, no background meshes are required ... See full document
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Existence of solutions for a differential inclusion problem with singular coefficients involving the p(x)-Laplacian
... The operator -div(| ∇ u| p(x)-2 ∇ u) is said to be the p(x)-Laplacian, and becomes p-Laplacian when p(x) ≡ p (a constant). The p(x)-Laplacian possesses more compli- cated nonlinearities than the p-Laplacian; for example, ... See full document
15
Dynamic behaviors for a model of predator-prey in the chemostat with microbial impulsive inputs
... the basis of the theories and methods of ecology and differential equations, a model of predator-prey in the chemostat with microbial impulsive inputs is ...impulsive equations, small ... See full document
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