Titlebook: Numerical Analysis and Its Applications; 5th International Co Ivan Dimov,István Faragó,Lubin Vulkov Conference proceedings 2013 Springer-Ve

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Flux-Splitting Schemes for Parabolic Problemsality faces essential difficulties. In parabolic problems, some possibilities are associated with the transition to a new formulation of the problem, where the fluxes (derivatives with respect to a spatial direction) are treated as unknown quantities. In this case, the original problem is rewritten

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Unconditionally Stable Schemes for Non-stationary Convection-Diffusion Equationsproblem. In this work we construct unconditionally stable scheme for non-stationary convection-diffusion equations, which are based on use of new variables. Also, we consider these equations in the form of convection-diffusion-reaction and construct unconditionally stable schemes when explicit-impli

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High Order Accurate Difference Schemes for Hyperbolic IBVP fourth orders of accuracy difference schemes for the approximate solution of this problem are presented and the stability estimates for the solutions of these difference schemes are obtained. Some results of numerical experiments are presented in order to support theoretical statements.

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Modified Crank-Nicholson Difference Schemes for Ultra Parabolic Equations with Neumann Conditionra-parabolic equations. For approximately solving the given problem, the second-order of accuracy modified Crank-Nicholson difference schemes are presented. Theorem on almost coercive stability of these difference schemes is established. Numerical example is given to illustrate the applicability and

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E. O’Riordan,J. Quinno sciences like physics, cognitive (neuro)science, and biology. We show that the oldest paradigm of thinking, the world or the “universe,” in the broadest sense assumed by scientists and philosophers, has been a misleading paradigm and that overall has to be replaced with EDWs perspective. Within th

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