New three–stages symmetric two step method with improved properties for second order initial/boundary value problems

Zhong Chen; Chenglian Liu; T. E. Simos

doi:10.1007/s10910-018-0905-6

New three–stages symmetric two step method with improved properties for second order initial/boundary value problems

Journal of Mathematical Chemistry ◽

10.1007/s10910-018-0905-6 ◽

2018 ◽

Vol 56 (9) ◽

pp. 2591-2616 ◽

Cited By ~ 18

Author(s):

Zhong Chen ◽

Chenglian Liu ◽

T. E. Simos

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Step Method ◽

Three Stages ◽

Initial Boundary Value

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On singular initial-boundary value problems for second order parabolic equations

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250521162 ◽

1985 ◽

Vol 25 (1) ◽

pp. 145-168 ◽

Cited By ~ 1

Author(s):

Masamichi Terakado

Keyword(s):

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base

Boundary Value Problems ◽

10.1186/1687-2770-2011-56 ◽

2011 ◽

Vol 2011 (1) ◽

Author(s):

Vu Trong Luong ◽

Do Van Loi

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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New multiple stages two-step complete in phase algorithm with improved characteristics for second order initial/boundary value problems

Journal of Mathematical Chemistry ◽

10.1007/s10910-018-0961-y ◽

2018 ◽

Vol 57 (2) ◽

pp. 494-515 ◽

Cited By ~ 14

Author(s):

Guiping Wang ◽

T. E. Simos

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Initial Boundary Value ◽

Multiple Stages ◽

Improved Characteristics

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Stable second-order finite-difference methods for linear initial-boundary-value problems

Applied Mathematics Letters ◽

10.1016/j.aml.2005.04.003 ◽

2006 ◽

Vol 19 (2) ◽

pp. 146-154 ◽

Cited By ~ 7

Author(s):

K. George ◽

E.H. Twizell

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Difference Methods ◽

Initial Boundary Value

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Investigation of initial-boundary value problems of gradient elasticity in the realm of implicit second order evolution equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3935 ◽

2016 ◽

Vol 41 (3) ◽

pp. 936-942

Author(s):

Antonios Charalambopoulos ◽

Lefteris Bokas

Keyword(s):

Boundary Value Problems ◽

Evolution Equations ◽

Boundary Value ◽

Gradient Elasticity ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Initial-boundary value problems for linear hyperbolic partial differential equations of the second order

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00281202 ◽

1962 ◽

Vol 10 (1) ◽

pp. 361-400 ◽

Cited By ~ 35

Author(s):

Calvin H. Wilcox

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Second Order ◽

Hyperbolic Partial Differential Equations ◽

Initial Boundary Value Problems ◽

Partial Differential ◽

Initial Boundary Value

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Initial-boundary value problems for second order systems of partial differential equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2011060 ◽

2012 ◽

Vol 46 (3) ◽

pp. 559-593 ◽

Cited By ~ 8

Author(s):

Heinz-Otto Kreiss ◽

Omar E. Ortiz ◽

N. Anders Petersson

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Partial Differential ◽

Second Order Systems ◽

Initial Boundary Value

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Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations

Ukrainian Mathematical Journal ◽

10.1007/bf01057444 ◽

1993 ◽

Vol 45 (7) ◽

pp. 976-986

Author(s):

B. V. Bazalii ◽

A. F. Tedeev

Keyword(s):

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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On some class of initial boundary value problems for second order quasilinear hyperbolic systems

Tsukuba Journal of Mathematics ◽

10.21099/tkbjm/1496161976 ◽

1992 ◽

Vol 16 (2) ◽

pp. 443-486 ◽

Cited By ~ 3

Author(s):

Andrzej Chrzeszczyk

Keyword(s):

Boundary Value Problems ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Quasilinear Hyperbolic Systems ◽

Initial Boundary Value

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New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems

Journal of Mathematical Chemistry ◽

10.1007/s10910-018-0986-2 ◽

2018 ◽

Vol 57 (3) ◽

pp. 834-857 ◽

Cited By ~ 2

Author(s):

Ibraheem Alolyan ◽

T. E. Simos

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Multistep Method ◽

Second Order ◽

Initial Boundary Value Problems ◽

Initial Boundary Value ◽

Multiple Stages ◽

Phase Properties

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