Numerical Analysis and Its Applications

5th International Conference, NAA 2012, Lozenetz, Bulgaria, June 15-20, 2012, Revised Selected Papers

Editors:

ISBN: 978-3-642-41514-2 (Print) 978-3-642-41515-9 (Online)

Table of contents (65 chapters)

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  1. Front Matter

    Pages -

  2. Invited Papers

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      Book Chapter

      Pages 1-11

      Note on the Convergence of the Implicit Euler Method

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      Book Chapter

      Pages 12-23

      Uniform Shift Estimates for Transmission Problems and Optimal Rates of Convergence for the Parametric Finite Element Method

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      Book Chapter

      Pages 24-37

      Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H − s , 0 ≤ s ≤ 1

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      Book Chapter

      Pages 38-49

      Boundary Value Problems for Fractional PDE and Their Numerical Approximation

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      Book Chapter

      Pages 50-61

      Numerical Study of Maximum Norm a Posteriori Error Estimates for Singularly Perturbed Parabolic Problems

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      Book Chapter

      Pages 62-72

      Comparison Principle for Reaction-Diffusion-Advection Problems with Boundary and Internal Layers

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      Book Chapter

      Pages 73-85

      Multiscale Convection in One Dimensional Singularly Perturbed Convection–Diffusion Problems

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      Book Chapter

      Pages 86-94

      Hybrid Functions for Nonlinear Differential Equations with Applications to Physical Problems

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      Book Chapter

      Pages 95-109

      Error Estimation in Energy Norms: Is It Necessary to Fit the Mesh to Boundary Layers

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      Book Chapter

      Pages 110-121

      The Finite Element Method for Boundary Value Problems with Strong Singularity and Double Singularity

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      Book Chapter

      Pages 122-131

      Some New Approaches to Solving Navier-Stokes Equations for Viscous Heat-Conducting Gas

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      Book Chapter

      Pages 132-142

      Flux-Splitting Schemes for Parabolic Problems

  3. Contributed Talks

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      Book Chapter

      Pages 143-150

      A Fourth-Order Iterative Solver for the Singular Poisson Equation

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      Book Chapter

      Pages 151-157

      Unconditionally Stable Schemes for Non-stationary Convection-Diffusion Equations

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      Book Chapter

      Pages 158-165

      Nonconforming Rectangular Morley Finite Elements

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      Book Chapter

      Pages 166-173

      Symplectic Numerical Schemes for Stochastic Systems Preserving Hamiltonian Functions

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      Book Chapter

      Pages 174-181

      High Order Accurate Difference Schemes for Hyperbolic IBVP

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      Book Chapter

      Pages 182-189

      Modified Crank-Nicholson Difference Schemes for Ultra Parabolic Equations with Neumann Condition

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      Book Chapter

      Pages 190-197

      Bifurcations in Long Josephson Junctions with Second Harmonic in the Current-Phase Relation: Numerical Study

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      Book Chapter

      Pages 198-205

      On the Unsymmetrical Buckling of the Nonuniform Orthotropic Circular Plates

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