A bounded linear integrator for some diffusive nonlinear time-dependent partial differential equations

Abstract A procedure is described for extending the method of separation of variables to the solution of beam-vibration problems with time-dependent boundary conditions. The procedure is applicable to a wide variety of time-dependent boundary-value problems in systems governed by linear partial differential equations.

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A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations II: Adaptivity and generalizations

Journal of Computational Physics ◽

10.1016/j.jcp.2013.02.020 ◽

2013 ◽

Vol 242 ◽

pp. 753-776 ◽

Cited By ~ 25

Author(s):

Mulin Cheng ◽

Thomas Y. Hou ◽

Zhiwen Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Time Dependent ◽

Partial Differential ◽

Orthogonal Method

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An Efficient Solver for Multi--Right-Hand-Side Linear Systems Based on the CCCG($\eta$) Method with Applications to Implicit Time-Dependent Partial Differential Equations

SIAM Journal on Scientific Computing ◽

10.1137/s106482759630382x ◽

1998 ◽

Vol 19 (1) ◽

pp. 126-138 ◽

Cited By ~ 7

Author(s):

Frederico F. Campos ◽

Nick R. C. Birkett

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Linear Systems ◽

Time Dependent ◽

Implicit Time ◽

Partial Differential ◽

Right Hand ◽

Efficient Solver

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The MOL solution of time dependent partial differential equations

Computers & Mathematics with Applications ◽

10.1016/0898-1221(96)00063-6 ◽

1996 ◽

Vol 31 (11) ◽

pp. 69-78 ◽

Cited By ~ 7

Author(s):

J.R. Cash ◽

Y. Psihoyios

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Time Dependent ◽

Partial Differential

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Time-dependent Partial Differential Equations and Their Numerical Solution

10.1007/978-3-0348-8229-3 ◽

2001 ◽

Cited By ~ 4

Author(s):

Heinz-Otto Kreiss ◽

Hedwig Ulmer Busenhart

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Time Dependent ◽

Partial Differential

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Adaptive moving knots meshless method for simulating time dependent partial differential equations

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2018.08.010 ◽

2018 ◽

Vol 96 ◽

pp. 115-122 ◽

Cited By ~ 3

Author(s):

Qinjiao Gao ◽

Zongmin Wu ◽

Shenggang Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Meshless Method ◽

Time Dependent ◽

Partial Differential

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Some Mathematical and Numerical Questions Connected with First and Second Order Time-Dependent Systems of Partial Differential Equations

The Conformal Structure of Space-Time - Lecture Notes in Physics ◽

10.1007/3-540-45818-2_19 ◽

2002 ◽

pp. 359-370 ◽

Cited By ~ 33

Author(s):

Heinz-O. Kreiss ◽

Omar E. Ortiz

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Second Order ◽

Time Dependent ◽

Partial Differential

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On the k-Summability of Formal Solutions for a Class of Higher Order Partial Differential Equations with Time-Dependent Coefficients

Springer Proceedings in Mathematics & Statistics - Formal and Analytic Solutions of Diff. Equations ◽

10.1007/978-3-319-99148-1_2 ◽

2018 ◽

pp. 27-45

Author(s):

Kunio Ichinobe

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Higher Order ◽

Time Dependent ◽

Partial Differential ◽

Formal Solutions

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