Avoiding order reduction of fractional step Runge–Kutta discretizations for linear time dependent coefficient parabolic problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2003.11.006 ◽

2004 ◽

Vol 48 (3-4) ◽

pp. 409-424 ◽

Author(s):

L. Portero ◽

J.C. Jorge ◽

B. Bujanda

Keyword(s):

Linear Time ◽

Order Reduction ◽

Time Dependent ◽

Parabolic Problems ◽

Fractional Step ◽

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Avoiding Order Reduction of Runge–Kutta Discretizations for Linear Time-Dependent Parabolic Problems

BIT Numerical Mathematics ◽

10.1023/b:bitn.0000025087.83146.33 ◽

2004 ◽

Vol 44 (1) ◽

pp. 1-20 ◽

Author(s):

I. Alonso-Mallo ◽

B. Cano

Keyword(s):

Linear Time ◽

Order Reduction ◽

Time Dependent ◽

Parabolic Problems ◽

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Fractional Step Runge–Kutta methods for time dependent coefficient parabolic problems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(02)00191-5 ◽

2003 ◽

Vol 45 (2-3) ◽

pp. 99-122 ◽

Author(s):

B. Bujanda ◽

J.C. Jorge

Keyword(s):

Time Dependent ◽

Parabolic Problems ◽

Fractional Step ◽

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Stability results for linearly implicit fractional step discretizations of non-linear time dependent parabolic problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2005.09.004 ◽

2006 ◽

Vol 56 (8) ◽

pp. 1061-1076 ◽

Author(s):

B. Bujanda ◽

J.C. Jorge

Keyword(s):

Linear Time ◽

Time Dependent ◽

Parabolic Problems ◽

Fractional Step ◽

Stability Results

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Fractional Step Runge-Kutta Methods for the Resolution of Two Dimensional Time Dependent Coefficient Convection-Diffusion Problems

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/3-540-45262-1_17 ◽

2001 ◽

pp. 133-143

Author(s):

B. Bujanda ◽

J. C. Jorge

Keyword(s):

Time Dependent ◽

Fractional Step ◽

Two Dimensional ◽

Convection Diffusion ◽

Runge Kutta ◽

Diffusion Problems

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Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge–Kutta–Nyström methods

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.02.015 ◽

2016 ◽

Vol 71 (7) ◽

pp. 1425-1447 ◽

Author(s):

M.J. Moreta ◽

B. Bujanda ◽

J.C. Jorge

Keyword(s):

Order Reduction ◽

Second Order ◽

Fractional Step ◽

Nyström Methods ◽

Second Order In Time ◽

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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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Stability of Runge-Kutta methods for abstract time-dependent parabolic problems: The Hölder case

Mathematics of Computation ◽

10.1090/s0025-5718-99-01018-2 ◽

1999 ◽

Vol 68 (225) ◽

pp. 73-90 ◽

Author(s):

C. González ◽

C. Palencia

Keyword(s):

Time Dependent ◽

Parabolic Problems ◽

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Variable step-size fractional step Runge–Kutta methods for time-dependent partial differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2012.06.015 ◽

2012 ◽

Vol 62 (10) ◽

pp. 1463-1476 ◽

Author(s):

L. Portero ◽

A. Arrarás ◽

J.C. Jorge

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Time Dependent ◽

Variable Step Size ◽

Fractional Step ◽

Step Size ◽

Partial Differential ◽

Variable Step ◽

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On Runge-Kutta methods for parabolic problems with time-dependent coefficients

Mathematics of Computation ◽

10.1090/s0025-5718-1986-0842124-1 ◽

1986 ◽

Vol 47 (175) ◽

pp. 77-77 ◽

Author(s):

Ohannes A. Karakashian

Keyword(s):

Time Dependent ◽

Parabolic Problems ◽

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Laplace transform method for parabolic problems with time-dependent and nonlinear coefficients: Magnus integrator and linearization

10.1063/1.4952246 ◽

2016 ◽

Author(s):

Jürgen Geiser ◽

Dongwoo Sheen

Keyword(s):

Laplace Transform ◽

Time Dependent ◽

Parabolic Problems ◽

Laplace Transform Method ◽

Transform Method

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