A Second-Order Stabilization Method for Linearizing and Decoupling Nonlinear Parabolic Systems

Buyang Li; Yuki Ueda; Guanyu Zhou

doi:10.1137/19m1296136

A Second-Order Stabilization Method for Linearizing and Decoupling Nonlinear Parabolic Systems

SIAM Journal on Numerical Analysis ◽

10.1137/19m1296136 ◽

2020 ◽

Vol 58 (5) ◽

pp. 2736-2763

Author(s):

Buyang Li ◽

Yuki Ueda ◽

Guanyu Zhou

Keyword(s):

Parabolic Systems ◽

Second Order ◽

Nonlinear Parabolic Systems ◽

Stabilization Method ◽

Nonlinear Parabolic

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A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Neumann boundary value conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10088 ◽

2003 ◽

Vol 20 (2) ◽

pp. 230-247 ◽

Cited By ~ 2

Author(s):

Ling-yun Zhang ◽

Zhi-zhong Sun

Keyword(s):

Difference Scheme ◽

Boundary Value ◽

Neumann Boundary ◽

Parabolic Systems ◽

Second Order ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic ◽

Nonuniform Meshes

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Initial-irregular oblique derivative problems for nonlinear parabolic systems of second order equations with measurable coefficients

Science in China Series A Mathematics ◽

10.1007/bf02878986 ◽

1999 ◽

Vol 42 (7) ◽

pp. 681-690

Author(s):

Guochun Wen

Keyword(s):

Parabolic Systems ◽

Second Order ◽

Nonlinear Parabolic Systems ◽

Measurable Coefficients ◽

Nonlinear Parabolic ◽

Oblique Derivative Problems ◽

Second Order Equations

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A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Dirichlet boundary value conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10065 ◽

2003 ◽

Vol 19 (5) ◽

pp. 638-652 ◽

Cited By ~ 3

Author(s):

Ling-Yun Zhang ◽

Zhi-Zhong Sun

Keyword(s):

Difference Scheme ◽

Dirichlet Boundary ◽

Boundary Value ◽

Parabolic Systems ◽

Second Order ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic ◽

Nonuniform Meshes

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NEWTON-KANTOROVICH ITERATION METHOD FOR SOLVING INVERSE PROBLEMS OF NONLINEAR PARABOLIC SYSTEMS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30142-5 ◽

1994 ◽

Vol 14 (3) ◽

pp. 283-296

Author(s):

Wenhuan Yu

Keyword(s):

Inverse Problems ◽

Iteration Method ◽

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic

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Nonlinear parabolic systems

Pseudodifferential Operators and Nonlinear PDE ◽

10.1007/978-1-4612-0431-2_9 ◽

1991 ◽

pp. 146-162

Author(s):

Michael E. Taylor

Keyword(s):

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic

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Parallel Implementation of an Adaptive, Multigrid Solver for the Implicit Solution of Nonlinear Parabolic Systems, with Application to a Multi-Phase-Field Model for Tumour Growth

Proceedings of the Fourth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering ◽

10.4203/ccp.107.39 ◽

2015 ◽

Author(s):

F.W. Yang ◽

C.E. Goodyer ◽

M.E. Hubbard ◽

P.K. Jimack

Keyword(s):

Phase Field ◽

Tumour Growth ◽

Field Model ◽

Parallel Implementation ◽

Phase Field Model ◽

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

Multigrid Solver ◽

Nonlinear Parabolic ◽

Multi Phase

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$L_∞$-estimates for solutions of nonlinear parabolic systems with gradient linear growth

Banach Center Publications ◽

10.4064/-33-1-491-501 ◽

1996 ◽

Vol 33 (1) ◽

pp. 491-501

Author(s):

Wojciech Zajączkowski

Keyword(s):

Linear Growth ◽

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic

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Asymptotic Stability for Nonlinear Parabolic Systems

Energy Methods in Continuum Mechanics ◽

10.1007/978-94-009-0337-1_7 ◽

1996 ◽

pp. 66-74 ◽

Cited By ~ 9

Author(s):

Patrizia Pucci ◽

James Serrin

Keyword(s):

Asymptotic Stability ◽

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic

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Quasilinearization Methods for Nonlocal Fully-Nonlinear Parabolic Systems

SSRN Electronic Journal ◽

10.2139/ssrn.4001104 ◽

2022 ◽

Author(s):

Qian Lei ◽

Chi Seng Pun

Keyword(s):

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

Fully Nonlinear ◽

Nonlinear Parabolic ◽

Quasilinearization Methods

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Nonlocal integral manifolds and decoupling of nonlinear parabolic systems

Lecture Notes in Mathematics - Global Analysis - Studies and Applications IV ◽

10.1007/bfb0085949 ◽

1990 ◽

pp. 101-108

Author(s):

V. A. Sobolev

Keyword(s):

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic ◽

Integral Manifolds

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