Optimal orders of convergence for Runge–Kutta methods and linear, initial boundary value problems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(02)00110-1 ◽

2003 ◽

Vol 44 (1-2) ◽

pp. 1-19 ◽

Author(s):

I. Alonso-Mallo ◽

C. Palencia

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Runge Kutta ◽

Initial Boundary Value

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Runge-Kutta methods without order reduction for linear initial boundary value problems

Numerische Mathematik ◽

10.1007/s002110100332 ◽

2002 ◽

Vol 91 (4) ◽

pp. 577-603 ◽

Author(s):

Isaías Alonso-Mallo

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Order Reduction ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Runge Kutta ◽

Initial Boundary Value

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Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems

Mathematics of Computation ◽

10.1090/s0025-5718-01-01362-x ◽

2001 ◽

Vol 71 (240) ◽

pp. 1529-1544 ◽

Author(s):

M. P. Calvo ◽

C. Palencia

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Order Reduction ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Runge Kutta ◽

Initial Boundary Value

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Galerkin-Runge-Kutta methods and hyperbolic initial boundary value problems

Computing ◽

10.1007/bf02248779 ◽

1977 ◽

Vol 18 (1) ◽

pp. 79-88 ◽

Author(s):

E. Gekeler

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Runge Kutta ◽

Initial Boundary Value

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Spectral-fractional step Runge--Kutta discretizations for initial boundary value problems with time dependent boundary conditions

Mathematics of Computation ◽

10.1090/s0025-5718-04-01660-6 ◽

2004 ◽

Vol 73 (248) ◽

pp. 1801-1826 ◽

Author(s):

I. Alonso-Mallo ◽

B. Cano ◽

J. C. Jorge

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Time Dependent ◽

Fractional Step ◽

Initial Boundary Value Problems ◽

Runge Kutta ◽

Initial Boundary Value

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Analysis of the Spectral Stability of the Generalized Runge–Kutta Methods Applied to Initial-Boundary-Value Problems for Equations of the Parabolic Type. II. Implicit Methods

Journal of Mathematical Sciences ◽

10.1007/s10958-018-4101-9 ◽

2018 ◽

Vol 236 (2) ◽

pp. 115-136

Author(s):

А. P. Yankovskii

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Type ◽

Initial Boundary ◽

Spectral Stability ◽

Type Ii ◽

Initial Boundary Value Problems ◽

Implicit Methods ◽

Runge Kutta ◽

Initial Boundary Value

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Analysis of the Spectral Stability of the Generalized Runge–Kutta Methods Applied to Initial-Boundary-Value Problems for Equations of the Parabolic Type. I. Explicit Methods

Journal of Mathematical Sciences ◽

10.1007/s10958-018-3673-8 ◽

2018 ◽

Vol 229 (3) ◽

pp. 227-240

Author(s):

A. P. Yankovskii

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Type ◽

Initial Boundary ◽

Spectral Stability ◽

Explicit Methods ◽

Type I ◽

Initial Boundary Value Problems ◽

Runge Kutta ◽

Initial Boundary Value

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The Correct Formulation of Intermediate Boundary Conditions for Runge--Kutta Time Integration of Initial Boundary Value Problems

SIAM Journal on Scientific Computing ◽

10.1137/s1064827594273948 ◽

1997 ◽

Vol 18 (5) ◽

pp. 1255-1266 ◽

Author(s):

D. Pathria

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Boundary Value ◽

Time Integration ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Correct Formulation ◽

Runge Kutta ◽

Initial Boundary Value

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Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies

10.1007/978-3-662-06707-9 ◽

1988 ◽

Author(s):

Zhu You-lan ◽

Chen Bing-mu ◽

Zhong Xi-chang ◽

Zhang Zuo-min

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Methods ◽

Initial Boundary Value

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ADAPTIVE WAVELET ALGORITHM FOR SOLVING NONLINEAR INITIAL–BOUNDARY VALUE PROBLEMS WITH ERROR CONTROL

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2018024915 ◽

2018 ◽

Vol 16 (1) ◽

pp. 19-43 ◽

Author(s):

C. Harnish ◽

Karel Matous ◽

D. Livescu

Keyword(s):

Boundary Value Problems ◽

Error Control ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Adaptive Wavelet ◽

Initial Boundary Value ◽

Wavelet Algorithm

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On the Construction of a General Solution for Initial Boundary Value Problems and Observation and Terminal Control Problems for Systems with Distributed Parameters

Telecommunications and Radio Engineering ◽

10.1615/telecomradeng.v54.i5-6.20 ◽

2000 ◽

Vol 54 (5-6) ◽

pp. 9-27

Author(s):

Vladimir Antonovich Stoyan ◽

Nikolay Fedorovich Kirichenko

Keyword(s):

General Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Control Problems ◽

Terminal Control ◽

Initial Boundary Value Problems ◽

Distributed Parameters ◽

Initial Boundary Value ◽

Systems With Distributed Parameters

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