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5. NAA 2012: Lozenetz, Bulgaria
- Ivan Dimov, István Faragó, Lubin G. Vulkov:
Numerical Analysis and Its Applications - 5th International Conference, NAA 2012, Lozenetz, Bulgaria, June 15-20, 2012, Revised Selected Papers. Lecture Notes in Computer Science 8236, Springer 2013, ISBN 978-3-642-41514-2
Invited Papers
- István Faragó:
Note on the Convergence of the Implicit Euler Method. 1-11 - Hengguang Li
, Victor Nistor, Yu Qiao:
Uniform Shift Estimates for Transmission Problems and Optimal Rates of Convergence for the Parametric Finite Element Method. 12-23 - Bangti Jin, Raytcho D. Lazarov
Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H - s , 0 ≤ s ≤ 1. 24-37 - Bosko S. Jovanovic, Lubin G. Vulkov, Aleksandra Delic
Boundary Value Problems for Fractional PDE and Their Numerical Approximation. 38-49 - Natalia Kopteva
Numerical Study of Maximum Norm a Posteriori Error Estimates for Singularly Perturbed Parabolic Problems. 50-61 - Nikolay N. Nefedov:
Comparison Principle for Reaction-Diffusion-Advection Problems with Boundary and Internal Layers. 62-72 - Eugene O'Riordan
Multiscale Convection in One Dimensional Singularly Perturbed Convection-Diffusion Problems. 73-85 - Mohsen Razzaghi:
Hybrid Functions for Nonlinear Differential Equations with Applications to Physical Problems. 86-94 - Hans-Görg Roos, Martin Schopf:
Error Estimation in Energy Norms: Is It Necessary to Fit the Mesh to Boundary Layers. 95-109 - Viktor A. Rukavishnikov
The Finite Element Method for Boundary Value Problems with Strong Singularity and Double Singularity. 110-121 - Vladimir V. Shaydurov
Some New Approaches to Solving Navier-Stokes Equations for Viscous Heat-Conducting Gas. 122-131 - Petr N. Vabishchevich:
Flux-Splitting Schemes for Parabolic Problems. 132-142
Contributed Talks
- Stéphane Abide
A Fourth-Order Iterative Solver for the Singular Poisson Equation. 143-150 - Nadezhda Afanasyeva, Petr N. Vabishchevich, Maria V. Vasilyeva
Unconditionally Stable Schemes for Non-stationary Convection-Diffusion Equations. 151-157 - Andrey B. Andreev, Milena R. Racheva
Nonconforming Rectangular Morley Finite Elements. 158-165 - Cristina Anton, Yau Shu Wong, Jian Deng:
Symplectic Numerical Schemes for Stochastic Systems Preserving Hamiltonian Functions. 166-173 - Allaberen Ashyralyev
High Order Accurate Difference Schemes for Hyperbolic IBVP. 174-181 - Allaberen Ashyralyev
Modified Crank-Nicholson Difference Schemes for Ultra Parabolic Equations with Neumann Condition. 182-189 - Pavlina Khristova Atanasova
Bifurcations in Long Josephson Junctions with Second Harmonic in the Current-Phase Relation: Numerical Study. 190-197 - Svetlana M. Bauer
On the Unsymmetrical Buckling of the Nonuniform Orthotropic Circular Plates. 198-205 - Tatiana P. Chernogorova, Radoslav L. Valkov:
A Positivity-Preserving Splitting Method for 2D Black-Scholes Equations in Stochastic Volatility Models. 206-213 - Tatiana P. Chernogorova, Lubin G. Vulkov:
Two Splitting Methods for a Fixed Strike Asian Option. 214-221 - Alicia Cordero
New Family of Iterative Methods with High Order of Convergence for Solving Nonlinear Systems. 222-230 - Aleksandra Delic
A Finite Difference Approach for the Time-Fractional Diffusion Equation with Concentrated Capacity. 231-238 - Neli S. Dimitrova
Model-Based Biological Control of the Chemostat. 239-246 - Ivan Dimov, Rayna Georgieva
Variance-Based Sensitivity Analysis of the Unified Danish Eulerian Model According to Variations of Chemical Rates. 247-254 - Milena Dimova
Comparison of Two Numerical Approaches to Boussinesq Paradigm Equation. 255-262 - Nikolay N. Elkin, Anatoly P. Napartovich, Dmitri V. Vysotsky:
Modal Properties of Vertical Cavity Surface Emitting Laser Arrays under the Influence of Thermal Lensing. 263-270 - Abdullah Said Erdogan
Stability of Implicit Difference Scheme for Solving the Identification Problem of a Parabolic Equation. 271-278 - Andrei M. Ermakov
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. 279-286 - Stefka Fidanova, Pencho Marinov:
Ant Colony Optimization Start Strategies Performance According Some of the Parameters. 287-294 - Sergei Filippov
Numerical and Asymptotic Modeling of Annular Plate Vibrations. 295-302 - Jose L. Gracia
A Singularly Perturbed Reaction-Diffusion Problem with Incompatible Boundary-Initial Data. 303-310 - Valentin A. Gushchin
Method SMIF for Incompressible Fluid Flows Modeling. 311-318 - Roumen Iankov
Finite Element Simulation of Nanoindentation Process. 319-326 - Liviu Gr. Ixaru:
Runge-Kutta Methods with Equation Dependent Coefficients. 327-336 - Harijs Kalis, Sergejs Rogovs, Aigars Gedroics:
Method of Lines and Finite Difference Schemes with Exact Spectrum for Solving Some Linear Problems of Mathematical Physics. 337-344 - Evgeniya Karepova
The Numerical Solution of the Boundary Function Inverse Problem for the Tidal Models. 345-354 - Mikhail K. Kolev, Ana Markovska, Adam Korpusik
On a Mathematical Model of Adaptive Immune Response to Viral Infection. 355-362 - Miglena N. Koleva:
Positivity Preserving Numerical Method for Non-linear Black-Scholes Models. 363-370 - Natalia T. Kolkovska
A Multicomponent Alternating Direction Method for Numerical Solution of Boussinesq Paradigm Equation. 371-378 - Sarvesh Kumar:
Finite Volume Approximations for Incompressible Miscible Displacement Problems in Porous Media with Modified Method of Characteristics. 379-386 - Alexandr V. Lebedev, Andrei L. Smirnov
Buckling of Non-isotropic Plates with Cut-Outs. 387-394 - Mehdiyeva Galina, Imanova Mehriban, Ibrahimov Vagif:
On a Research of Hybrid Methods. 395-402 - Zorica Milovanovic
Finite Difference Scheme for a Parabolic Transmission Problem in Disjoint Domains. 403-410 - Kaushik Mukherjee
An Efficient Hybrid Numerical Scheme for Singularly Perturbed Problems of Mixed Parabolic-Elliptic Type. 411-419 - Eugene O'Riordan
Numerical Experiments with a Shishkin Numerical Method for a Singularly Perturbed Quasilinear Parabolic Problem with an Interior Layer. 420-427 - Tzvetan Ostromsky
High Performance Computing of Data for a New Sensitivity Analysis Algorithm, Applied in an Air Pollution Model. 428-436 - Vladimir G. Pimenov
Numerical Methods for Evolutionary Equations with Delay and Software Package PDDE. 437-444 - S. Chandra Sekhara Rao, Sheetal Chawla:
Interior Layers in Coupled System of Two Singularly Perturbed Reaction-Diffusion Equations with Discontinuous Source Term. 445-453 - Mahir Rasulov
Finite Differences Method for the First Order 2-D Partial Equation. 454-462 - Alexey V. Rukavishnikov
Numerical Analysis of a Hydrodynamics Problem with a Curved Interface. 463-470 - Oxana V. Sadovskaya
Parallel Program Systems for Problems of the Dynamics of Elastic-Plastic and Granular Media. 471-478 - Vladimir M. Sadovskii
On Thermodynamically Consistent Formulations of Dynamic Models of Deformable Media and Their Numerical Implementation. 479-486 - Alexey Shamaev
An Effective Method of Electromagnetic Field Calculation. 487-494 - Bahaddin Sinsoysal, Turgay Coruhlu
Finite Differences Method for One Dimensional Nonlinear Parabolic Equation with Double Nonlinearity. 495-501 - Svyatoslav I. Solodushkin:
Numerical Solving of Functional Differential Equations in Partial Derivatives on a Remote Server through a Web Interface. 502-508 - Vyacheslav A. Trofimov
Adaptive Artificial Boundary Conditions for 2D Schrödinger Equation. 509-516 - Maria Varygina
Numerical Solution of Dynamic Problems in Block Media with Thin Interlayers on Supercomputers with GPUs. 517-523 - Vladimir Volkov
Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models. 524-531 - Christos Xenophontos
hp Finite Element Methods for Fourth Order Singularly Perturbed Boundary Value Problems. 532-539 - Alexander Zadorin
Quadrature Formula with Five Nodes for Functions with a Boundary Layer Component. 540-546 - Elena Zemlyanaya, Nora V. Alexeeva:
Numerical Study of Travelling Multi-soliton Complexes in the Ac-Driven NLS Equation. 547-554 - Evgeniya Zhabitskaya, Mikhail Zhabitsky:
Asynchronous Differential Evolution with Restart. 555-561 - Umar Kh. Zhemukhov:
Uniform Grid Approximation of Nonsmooth Solutions of a Singularly Perturbed Convection - Diffusion Equation with Characteristic Layers. 562-570
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