Runge-Kutta Based Generalized Convolution Quadrature

被引：0

作者：

Lopez-Fernandez, Maria ^{[1
]}

Sauter, Stefan ^{[2
]}

机构：

[1] Univ Malaga, Dept Math Anal, Campus Teatinos S-N, E-29071 Malaga, Spain

[2] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015) | 2016年 / 1738卷

关键词：

boundary integral equations; convolution equations; convolution quadrature; variable steps; contour integral methods; DISCRETIZED OPERATIONAL CALCULUS;

D O I：

10.1063/1.4951754

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the Runge-Kutta generalized convolution quadrature (gCQ) with variable time steps for the numerical solution of convolution equations for time and space-time problems. We present the main properties of the method and a convergence result.

引用

页数：4

共 50 条

[21] A METHOD FOR CONSTRUCTING GENERALIZED RUNGE-KUTTA METHODS
SUGIURA, H
TORII, T
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1991, 38 (1-3) : 399 - 410
[22] Positivity of Runge-Kutta and diagonally split Runge-Kutta methods
Horvath, Z
[J]. APPLIED NUMERICAL MATHEMATICS, 1998, 28 (2-4) : 309 - 326
[23] LINEARLY-IMPLICIT RUNGE-KUTTA METHODS BASED ON IMPLICIT RUNGE-KUTTA METHODS
BRUDER, J
[J]. APPLIED NUMERICAL MATHEMATICS, 1993, 13 (1-3) : 33 - 40
[24] Runge–Kutta convolution quadrature for operators arising in wave propagation
Lehel Banjai
Christian Lubich
Jens Markus Melenk
[J]. Numerische Mathematik, 2011, 119 : 1 - 20
[25] RUNGE-KUTTA CONVOLUTION QUADRATURE AND FEM-BEM COUPLING FOR THE TIME-DEPENDENT LINEAR SCHRODINGER EQUATION
Melenk, Jens Markus
Rieder, Alexander
[J]. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2017, 29 (01) : 189 - 250
[26] NUMERICAL SOLUTIONS OF VISCOELASTIC BENDING WAVE EQUATIONS WITH TWO TERM TIME KERNELS BY RUNGE-KUTTA CONVOLUTION QUADRATURE
Xu, Da
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (06): : 2389 - 2416
[27] Stability of Runge-Kutta methods for the generalized pantograph equation
Koto, T
[J]. NUMERISCHE MATHEMATIK, 1999, 84 (02) : 233 - 247
[28] Stability of Runge-Kutta methods for the generalized pantograph equation
Toshiyuki Koto
[J]. Numerische Mathematik, 1999, 84 : 233 - 247
[29] Convergence of Runge-Kutta-based convolution quadrature for semilinear fractional differential equations
Zhao, Jingjun
Kong, Jiameng
Xu, Yang
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2024,
[30] THE RUNGE-KUTTA METHODS
THOMAS, B
[J]. BYTE, 1986, 11 (04): : 191 - &

← 1 2 3 4 5 →