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

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 -