A semi-analytical numerical method for solving evolution and elliptic partial differential equations

A.S. Fokas; N. Flyer; S.A. Smitheman; E.A. Spence

doi:10.1016/j.cam.2008.07.036

A semi-analytical numerical method for solving evolution and elliptic partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.07.036 ◽

2009 ◽

Vol 227 (1) ◽

pp. 59-74 ◽

Cited By ~ 18

Author(s):

A.S. Fokas ◽

N. Flyer ◽

S.A. Smitheman ◽

E.A. Spence

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Elliptic Partial Differential Equations ◽

Partial Differential

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A numerical method for a Cauchy problem for elliptic partial differential equations

Inverse Problems ◽

10.1088/0266-5611/23/6/008 ◽

2007 ◽

Vol 23 (6) ◽

pp. 2401-2415 ◽

Cited By ~ 4

Author(s):

Weimin Han ◽

Jianguo Huang ◽

Kamran Kazmi ◽

Yu Chen

Keyword(s):

Cauchy Problem ◽

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Elliptic Partial Differential Equations ◽

Partial Differential

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A priori estimates for solutions of elliptic partial differential equations on surfaces

10.32469/10355/10133 ◽

2009 ◽

Author(s):

Heidi Steenblock

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

A Priori Estimates ◽

A Priori ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Priori Estimates

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NOTE ON THE SOBOLEV'S THEOREM AND ITS APPLICATION TO THE LOCAL ESTIMATES FOR GENERALIZED SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Memoirs of the Faculty of Science Kyushu University Series A Mathematics ◽

10.2206/kyushumfs.20.56 ◽

1966 ◽

Vol 20 (1) ◽

pp. 56-60

Author(s):

Akira ONO

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Generalized Solutions ◽

Partial Differential

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Pathwise convergence of a numerical method for stochastic partial differential equations with correlated noise and local Lipschitz condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.04.012 ◽

2017 ◽

Vol 323 ◽

pp. 123-135 ◽

Cited By ~ 1

Author(s):

Minoo Kamrani ◽

Dirk Blömker

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Lipschitz Condition ◽

Stochastic Partial Differential Equations ◽

Correlated Noise ◽

Partial Differential ◽

Local Lipschitz Condition

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Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/140971890 ◽

2015 ◽

Vol 53 (1) ◽

pp. 405-420 ◽

Cited By ~ 3

Author(s):

Zhiqiang Cai ◽

Rob Falgout ◽

Shun Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Order System ◽

Partial Differential ◽

First Order

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Transformation of elliptic partial differential equations for solving two-dimensional boundary value problems in fluid flow

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620100304 ◽

1976 ◽

Vol 10 (3) ◽

pp. 527-533 ◽

Cited By ~ 13

Author(s):

J. D. Boadway

Keyword(s):

Fluid Flow ◽

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Elliptic Partial Differential Equations ◽

Two Dimensional ◽

Partial Differential ◽

Dimensional Boundary

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Adams type inequalities and related elliptic partial differential equations in dimension four

Journal of Differential Equations ◽

10.1016/j.jde.2011.08.027 ◽

2012 ◽

Vol 252 (3) ◽

pp. 2266-2295 ◽

Cited By ~ 24

Author(s):

Yunyan Yang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential

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New numerical method for partial differential equations. 1: Application to the diffusion equation

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650180303 ◽

1994 ◽

Vol 18 (3) ◽

pp. 257-271

Author(s):

P. Hatzikonstantinou

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Diffusion Equation ◽

Numerical Method ◽

Partial Differential

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A new parallel domain decomposition method for the adaptive finite element solution of elliptic partial differential equations

Concurrency and Computation Practice and Experience ◽

10.1002/cpe.569 ◽

2001 ◽

Vol 13 (5) ◽

pp. 327-350 ◽

Cited By ~ 25

Author(s):

Randolph E. Bank ◽

Peter K. Jimack

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Elliptic Partial Differential Equations ◽

Adaptive Finite Element ◽

Element Solution ◽

Partial Differential

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Bounded point evaluations and approximation in Lp by solutions of elliptic partial differential equations

Journal of Functional Analysis ◽

10.1016/0022-1236(78)90077-0 ◽

1978 ◽

Vol 28 (1) ◽

pp. 1-20 ◽

Cited By ~ 4

Author(s):

Claes Fernström ◽

John C Polking

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Point Evaluations

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