Numerical Analysis and Its Applications : 5th International Conference, NAA 2012, Lozenetz, Bulgaria, June 15-20, 2012, Revised Selected Papers

This book constitutes thoroughly revised selected papers of the 5th International Conference on Numerical Analysis and Its Applications, NAA 2012, held in Lozenetz, Bulgaria, in June 2012. The 65 revised papers presented were carefully reviewed and selected from various submissions. The papers cover a broad area of topics of interest such as numerical approximation and computational geometry; numerical linear algebra and numerical solution of transcendental equation; numerical methods for differential equations; numerical stochastics, numerical modeling; and high performance scientific computing. Front Matter....Pages - Note on the Convergence of the Implicit Euler Method....Pages 1-11 Uniform Shift Estimates for Transmission Problems and Optimal Rates of Convergence for the Parametric Finite Element Method....Pages 12-23 Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H − s , 0 ≤ s ≤ 1....Pages 24-37 Boundary Value Problems for Fractional PDE and Their Numerical Approximation....Pages 38-49 Numerical Study of Maximum Norm a Posteriori Error Estimates for Singularly Perturbed Parabolic Problems....Pages 50-61 Comparison Principle for Reaction-Diffusion-Advection Problems with Boundary and Internal Layers....Pages 62-72 Multiscale Convection in One Dimensional Singularly Perturbed Convection–Diffusion Problems....Pages 73-85 Hybrid Functions for Nonlinear Differential Equations with Applications to Physical Problems....Pages 86-94 Error Estimation in Energy Norms: Is It Necessary to Fit the Mesh to Boundary Layers....Pages 95-109 The Finite Element Method for Boundary Value Problems with Strong Singularity and Double Singularity....Pages 110-121 Some New Approaches to Solving Navier-Stokes Equations for Viscous Heat-Conducting Gas....Pages 122-131 Flux-Splitting Schemes for Parabolic Problems....Pages 132-142 A Fourth-Order Iterative Solver for the Singular Poisson Equation....Pages 143-150 Unconditionally Stable Schemes for Non-stationary Convection-Diffusion Equations....Pages 151-157 Nonconforming Rectangular Morley Finite Elements....Pages 158-165 Symplectic Numerical Schemes for Stochastic Systems Preserving Hamiltonian Functions....Pages 166-173 High Order Accurate Difference Schemes for Hyperbolic IBVP....Pages 174-181 Modified Crank-Nicholson Difference Schemes for Ultra Parabolic Equations with Neumann Condition....Pages 182-189 Bifurcations in Long Josephson Junctions with Second Harmonic in the Current-Phase Relation: Numerical Study....Pages 190-197 On the Unsymmetrical Buckling of the Nonuniform Orthotropic Circular Plates....Pages 198-205 A Positivity-Preserving Splitting Method for 2D Black-Scholes Equations in Stochastic Volatility Models....Pages 206-213 Two Splitting Methods for a Fixed Strike Asian Option....Pages 214-221 New Family of Iterative Methods with High Order of Convergence for Solving Nonlinear Systems....Pages 222-230 A Finite Difference Approach for the Time-Fractional Diffusion Equation with Concentrated Capacity....Pages 231-238 Model-Based Biological Control of the Chemostat....Pages 239-246 Variance-Based Sensitivity Analysis of the Unified Danish Eulerian Model According to Variations of Chemical Rates....Pages 247-254 Comparison of Two Numerical Approaches to Boussinesq Paradigm Equation....Pages 255-262 Modal Properties of Vertical Cavity Surface Emitting Laser Arrays under the Influence of Thermal Lensing....Pages 263-270 Stability of Implicit Difference Scheme for Solving the Identification Problem of a Parabolic Equation....Pages 271-278 Numerical and Analytical Modeling of the Stability of the Cylindrical Shell under the Axial Compression with the Use of the Non-classical Theories of Shells....Pages 279-286 Ant Colony Optimization Start Strategies Performance According Some of the Parameters....Pages 287-294 Numerical and Asymptotic Modeling of Annular Plate Vibrations....Pages 295-302 A Singularly Perturbed Reaction-Diffusion Problem with Incompatible Boundary-Initial Data....Pages 303-310 Method SMIF for Incompressible Fluid Flows Modeling....Pages 311-318 Finite Element Simulation of Nanoindentation Process....Pages 319-326 Runge-Kutta Methods with Equation Dependent Coefficients....Pages 327-336 Method of Lines and Finite Difference Schemes with Exact Spectrum for Solving Some Linear Problems of Mathematical Physics....Pages 337-344 The Numerical Solution of the Boundary Function Inverse Problem for the Tidal Models....Pages 345-354 On a Mathematical Model of Adaptive Immune Response to Viral Infection....Pages 355-362 Positivity Preserving Numerical Method for Non-linear Black-Scholes Models....Pages 363-370 A Multicomponent Alternating Direction Method for Numerical Solution of Boussinesq Paradigm Equation....Pages 371-378 Finite Volume Approximations for Incompressible Miscible Displacement Problems in Porous Media with Modified Method of Characteristics....Pages 379-386 Buckling of Non-isotropic Plates with Cut-Outs....Pages 387-394 On a Research of Hybrid Methods....Pages 395-402 Finite Difference Scheme for a Parabolic Transmission Problem in Disjoint Domains....Pages 403-410 An Efficient Hybrid Numerical Scheme for Singularly Perturbed Problems of Mixed Parabolic-Elliptic Type....Pages 411-419 Numerical Experiments with a Shishkin Numerical Method for a Singularly Perturbed Quasilinear Parabolic Problem with an Interior Layer....Pages 420-427 High Performance Computing of Data for a New Sensitivity Analysis Algorithm, Applied in an Air Pollution Model....Pages 428-436 Numerical Methods for Evolutionary Equations with Delay and Software Package PDDE....Pages 437-444 Interior Layers in Coupled System of Two Singularly Perturbed Reaction-Diffusion Equations with Discontinuous Source Term....Pages 445-453 Finite Differences Method for the First Order 2-D Partial Equation....Pages 454-462 Numerical Analysis of a Hydrodynamics Problem with a Curved Interface....Pages 463-470 Parallel Program Systems for Problems of the Dynamics of Elastic-Plastic and Granular Media....Pages 471-478 On Thermodynamically Consistent Formulations of Dynamic Models of Deformable Media and Their Numerical Implementation....Pages 479-486 An Effective Method of Electromagnetic Field Calculation....Pages 487-494 Finite Differences Method for One Dimensional Nonlinear Parabolic Equation with Double Nonlinearity....Pages 495-501 Numerical Solving of Functional Differential Equations in Partial Derivatives on a Remote Server through a Web Interface....Pages 502-508 Adaptive Artificial Boundary Conditions for 2D Schrödinger Equation....Pages 509-516 Numerical Solution of Dynamic Problems in Block Media with Thin Interlayers on Supercomputers with GPUs....Pages 517-523 Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models....Pages 524-531 hp Finite Element Methods for Fourth Order Singularly Perturbed Boundary Value Problems....Pages 532-539 Quadrature Formula with Five Nodes for Functions with a Boundary Layer Component....Pages 540-546 Numerical Study of Travelling Multi-soliton Complexes in the Ac-Driven NLS Equation....Pages 547-554 Asynchronous Differential Evolution with Restart....Pages 555-561 Uniform Grid Approximation of Nonsmooth Solutions of a Singularly Perturbed Convection - Diffusion Equation with Characteristic Layers....Pages 562-570 Back Matter....Pages -