An efficient numerical scheme for precise time integration of a diffusion-dissolution/precipitation chemical system

DOI10.1090/S0025-5718-05-01782-5zbMath1107.65082MaRDI QIDQ5713224

Jérôme Pousin, Franck Fontvieille, Blaise Faugeras

Publication date: 12 December 2005

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

numerical experimentserror analysisoperator splittingjumping nonlinearitieshigh orderdense outputNumerical time integrationdiffusion-dissolution/precipitation chemical initial-boundary value problem

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Chemical kinetics in thermodynamics and heat transfer (80A30)

Related Items (1)

Crystal precipitation and dissolution in a thin strip

Uses Software

• RODAS

Cites Work

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• Diffusion and dissolution/precipitation in an open porous reactive medium
• An analysis of operator splitting techniques in the stiff case
• Error bounds for exponential operator splittings
• Toward non commutative numerical analysis: High order integration in time
• Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: Singular perturbation and order reduction
• Convergence of a splitting method of high order for reaction-diffusion systems
• Solving Ordinary Differential Equations I
• Interpolation for Runge–Kutta Methods
• Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation
• On the Construction and Comparison of Difference Schemes

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