A Nonlocal Operator Method for Partial Differential Equations with Application to Electromagnetic Waveguide Problem

Computers Materials & Continua ◽

10.32604/cmc.2019.04567 ◽

2019 ◽

Vol 59 (1) ◽

pp. 31-55 ◽

Author(s):

Timon Rabczuk ◽

Huilong Ren ◽

Xiaoying Zhuang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Operator Method ◽

Nonlocal Operator ◽

Partial Differential ◽

Electromagnetic Waveguide ◽

Waveguide Problem

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A nonlocal operator method for solving partial differential equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112621 ◽

2020 ◽

Vol 358 ◽

pp. 112621 ◽

Author(s):

Huilong Ren ◽

Xiaoying Zhuang ◽

Timon Rabczuk

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Operator Method ◽

Nonlocal Operator ◽

Partial Differential

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A higher order nonlocal operator method for solving partial differential equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113132 ◽

2020 ◽

Vol 367 ◽

pp. 113132 ◽

Author(s):

Huilong Ren ◽

Xiaoying Zhuang ◽

Timon Rabczuk

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Operator Method ◽

Higher Order ◽

Nonlocal Operator ◽

Partial Differential

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Ordinary and Partial Differential Equations, Evolution Operator Method and Applications

Mathematical Methods for Physicists ◽

10.1142/9789811201585_0002 ◽

2019 ◽

pp. 63-99

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Evolution Operator ◽

Operator Method ◽

Partial Differential

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An operator method of solving the Cauchy problem for a homogeneous system of partial differential equations

Journal of Mathematical Sciences ◽

10.1007/bf02362589 ◽

1996 ◽

Vol 81 (6) ◽

pp. 3034-3038 ◽

Author(s):

Z. M. Nitrebich

Keyword(s):

Cauchy Problem ◽

Partial Differential Equations ◽

Differential Equations ◽

Operator Method ◽

Homogeneous System ◽

Partial Differential ◽

The Cauchy Problem

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Partial Differential Equations

10.1017/9781108839808 ◽

2020 ◽

Author(s):

A. K. Nandakumaran ◽

P. S. Datti

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations

10.1017/cbo9780511546730 ◽

2005 ◽

Author(s):

Dan Henry

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Partial Differential

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Partial Differential Equations in Fluid Dynamics

10.1017/cbo9780511754654 ◽

2008 ◽

Author(s):

Isom H. Herron ◽

Michael R. Foster

Keyword(s):

Fluid Dynamics ◽

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Partial Differential Equations

10.1017/cbo9781139171755 ◽

1987 ◽

Author(s):

J. Wloka

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Dispersive Partial Differential Equations

10.1017/cbo9781316563267 ◽

2016 ◽

Author(s):

M. Burak Erdogan ◽

Nikolaos Tzirakis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Discrete sample estimation for gaussian random fields generated by stochastic partial differential equations

Communication in Statistics- Theory and Methods ◽

10.1080/03610929808828954 ◽

1998 ◽

Vol 14 (4) ◽

pp. 883-903

Author(s):

Jaroslav Mohapl

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Random Fields ◽

Stochastic Partial Differential Equations ◽

Gaussian Random Fields ◽

Partial Differential ◽

Discrete Sample

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