Accelerated Variational PDEs for Efficient Solution of Regularized Inversion Problems. [PDF]
Benyamin M +3 more
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COMPUTATIONAL MODELING OF SOLID TUMOR GROWTH: THE
. In this paper, we present a mathematical model for avascular tumor growth and its numerical study in two and three dimensions. For this purpose, we use a multiscale model using PDEs to describe the evolution of the tumor cell densities.
Emmanuel Grenier +4 more
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Finite difference spectral collocation schemes for the solutions of boundary value problems. [PDF]
Adewumi AO +4 more
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Convergence Rates for Relaxation Schemes Approximating Conservation Laws
In this paper, we prove a global error estimate for a relaxation scheme approximating scalar conservation laws. To this end, we decompose the error into a relaxation error and a discretization error.
Hailiang Liu, Gerald Warnecke
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Parameter uniform finite difference formulation with oscillation free for solving singularly perturbed delay parabolic differential equation via exponential spline. [PDF]
Hassen ZI, Duressa GF.
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Weighted ENO Schemes for Hamilton-Jacobi Equations
In this paper, we present a weighted ENO (essentially non-oscillatory) scheme to approximate the viscosity solution of the Hamilton-Jacobi equation: OE t +H(x 1 ; \Delta \Delta \Delta ; x d ; t; OE; OE x1 ; \Delta \Delta \Delta ; OE xd ) = 0: This ...
Danping Peng, Guang-shan Jiang
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A predator-prey model with age-structured role reversal. [PDF]
Suarez LC, Cameron MK, Fagan WF, Levy D.
europepmc +1 more source
Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models. [PDF]
Danielewski M +2 more
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The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number. [PDF]
Ito K, Li Z, Qiao Z.
europepmc +1 more source
An Adaptive Moving Mesh Method for Forced Curve Shortening Flow. [PDF]
Mackenzie JA +3 more
europepmc +1 more source

