A biplicit spectral-collocation-type ansatz for the numerical integration of partial differential equations with the transversal method of lines

Johann Reiter

doi:10.1002/num.1690110608

A biplicit spectral-collocation-type ansatz for the numerical integration of partial differential equations with the transversal method of lines

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690110608 ◽

1995 ◽

Vol 11 (6) ◽

pp. 625-635 ◽

Cited By ~ 2

Author(s):

Johann Reiter

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Integration ◽

Method Of Lines ◽

Spectral Collocation ◽

Partial Differential

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Spectral collocation method for stochastic partial differential equations with fractional Brownian motion

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113369 ◽

2021 ◽

pp. 113369

Author(s):

Mahdieh Arezoomandan ◽

Ali R. Soheili

Keyword(s):

Brownian Motion ◽

Partial Differential Equations ◽

Differential Equations ◽

Fractional Brownian Motion ◽

Collocation Method ◽

Stochastic Partial Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Partial Differential

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Nonlinear partial differential equations with delay: linear stability/instability of solutions, numerical integration

Journal of Physics Conference Series ◽

10.1088/1742-6596/1205/1/012053 ◽

2019 ◽

Vol 1205 ◽

pp. 012053

Author(s):

V G Sorokin ◽

A D Polyanin

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Integration ◽

Linear Stability ◽

Nonlinear Partial Differential Equations ◽

Partial Differential ◽

Equations With Delay

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Numerical integration of partial differential equations using cubic splines

International Journal of Computer Mathematics ◽

10.1080/00207168308803369 ◽

1983 ◽

Vol 13 (3-4) ◽

pp. 271-286 ◽

Cited By ~ 110

Author(s):

Pu Wang ◽

René Kahawita

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Integration ◽

Cubic Splines ◽

Partial Differential

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On the validity and stability of the method of lines for the solution of partial differential equations

Applied Mathematics and Computation ◽

10.1016/0096-3003(87)90038-5 ◽

1987 ◽

Vol 22 (2-3) ◽

pp. 89-98 ◽

Cited By ~ 7

Author(s):

Mikhail Naguib Mikhail

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Method Of Lines ◽

Partial Differential ◽

The Method Of Lines

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A robust moving mesh method for spectral collocation solutions of time-dependent partial differential equations

Journal of Computational Physics ◽

10.1016/j.jcp.2015.04.003 ◽

2015 ◽

Vol 294 ◽

pp. 297-311 ◽

Cited By ~ 4

Author(s):

Christopher J. Subich

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Time Dependent ◽

Moving Mesh ◽

Moving Mesh Method ◽

Spectral Collocation ◽

Partial Differential ◽

Mesh Method

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RBFs Meshless Method of Lines for the Numerical Solution of Time-Dependent Nonlinear Coupled Partial Differential Equations

Applied Mathematics ◽

10.4236/am.2011.24051 ◽

2011 ◽

Vol 02 (04) ◽

pp. 414-423 ◽

Cited By ~ 7

Author(s):

Sirajul Haq ◽

Arshad Hussain ◽

Marjan Uddin

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Meshless Method ◽

Method Of Lines ◽

Time Dependent ◽

Partial Differential ◽

Coupled Partial Differential Equations ◽

Meshless Method Of Lines

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Numerical Integration of Space Fractional Partial Differential Equations: Vol 2 - Applications from Classical Integer PDEs

Synthesis Lectures on Mathematics and Statistics ◽

10.2200/s00808ed1v02y201710mas020 ◽

2017 ◽

Vol 9 (3) ◽

pp. 1-205 ◽

Cited By ~ 1

Author(s):

Younes Salehi ◽

William E. Schiesser

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Integration ◽

Fractional Partial Differential Equations ◽

Partial Differential

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Numerical integration of stochastic partial differential equations

Computer Physics Communications ◽

10.1016/0010-4655(93)90014-4 ◽

1993 ◽

Vol 74 (3) ◽

pp. 303-315 ◽

Cited By ~ 13

Author(s):

Markus Seeβelberg ◽

Francesco Petruccione

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Integration ◽

Stochastic Partial Differential Equations ◽

Partial Differential

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The method of lines for the numerical solution of partial differential equations (abstract)

ACM SIGNUM Newsletter ◽

10.1145/1053205.1053207 ◽

1975 ◽

Vol 10 (4) ◽

pp. 5-7 ◽

Cited By ~ 5

Author(s):

Niel K. Madsen

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Method Of Lines ◽

Partial Differential ◽

The Method Of Lines

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Stability restrictions on time-stepsize for numerical integration of first-order partial differential equations

Journal of Computational Physics ◽

10.1016/0021-9991(83)90079-7 ◽

1983 ◽

Vol 51 (1) ◽

pp. 1-27 ◽

Cited By ~ 24

Author(s):

Z Zlatev ◽

R Berkowicz ◽

L.P Prahm

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Integration ◽

Partial Differential ◽

First Order

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