đť’¦-convergence as a new tool in numerical analysis
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Numerical Solutions
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Approximate Solutions
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Equivalence Theorem
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Euler System
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Young Measures
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Inviscid Fluid
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Abstract Theory
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Nonlinear Version
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Volume Method
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Abstract We adapt the concept of $\mathscr{K}$-convergence of Young measures to the sequences of approximate solutions resulting from numerical schemes. We obtain new results on pointwise convergence of numerical solutions in the case when solutions of the limit continuous problem possess minimal regularity. We apply the abstract theory to a finite volume method for the isentropic Euler system describing the motion of a compressible inviscid fluid. The result can be seen as a nonlinear version of the fundamental Lax equivalence theorem.
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Fluid Dynamics
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Materials Science
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Numerical Algorithms
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Approximate Solutions
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Variational Problems
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Convincing Evidence
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Young Measures
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Inviscid Fluid
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New Paradigm
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Numerical Solutions
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Local Reaction
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Approximate Solutions
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Diffusion Problem
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Poisson Problem
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Advection Diffusion
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Cell Crawling
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Non Local
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Volume Method
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2021 â—˝ Â
pp. 1-40
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Numerical Solutions
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Wasserstein Distance
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Euler System
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Young Measures
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Oscillatory Solutions
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Space And Time
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Integral Equations
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Numerical Solutions
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Operational Matrix
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Approximate Solutions
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Numerical Examples
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Block Pulse Functions
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Numerical Simulations
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Numerical Solutions
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Multiple Scales
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Approximate Solutions
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Response Curves
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Strongly Nonlinear
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2019 â—˝ Â
Vol 27
(3)
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pp. 242-262
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Difference Scheme
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Coupled Oscillators
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Numerical Solutions
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Nonlinear Oscillators
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Approximate Solutions
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Algebraic Equations
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Integrals Of Motion
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Midpoint Method
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Fluid Dynamics
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Hydraulic Jump
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Numerical Solutions
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Stokes Equations
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Fluid Layer
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Transition To Turbulence
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Height Velocity
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Inviscid Fluid
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Initial Value
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2003 â—˝ Â
Vol 2003
(2)
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pp. 87-114
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Contact Problem
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Numerical Solutions
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Mechanical Damage
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Parabolic Type
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Approximate Solutions
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Damage Function
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Optimal Order
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Order Error
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Fully Discrete
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Differential Equations
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Fractional Order
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Numerical Solutions
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Approximate Solutions
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Coupled Systems
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Test Problems
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Operational Matrices
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Partial Differential
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2013 â—˝ Â
Vol 774-776
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pp. 103-106
Keyword(s): Â
Fractional Derivative
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Harmonic Balance
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Numerical Solutions
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Harmonic Balance Method
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Approximate Solutions
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Solution Procedure
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Balance Method
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Van Der Pol Oscillator
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Van Der Pol
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