Found 123 Documents (Results 1–100)
Lobatto-reproducing kernel method for solving a linear system of second order boundary value problems. (English) Zbl 1515.33022
A multiple interval Chebyshev-Gauss-Lobatto collocation method for multi-order fractional differential equations. (English) Zbl 1485.65090
Shifted Legendre fractional pseudospectral differentiation matrices for solving fractional differential problems. (English) Zbl 07490674
Error analysis and approximation of Jacobi pseudospectral method for the integer and fractional order integro-differential equation. (English) Zbl 1482.65241
Jacobi spectral method for variable-order fractional Benney-Lin equation arising in falling film problems. (English) Zbl 1524.65654
Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order. (English) Zbl 1483.65108
An \(hp\)-version Chebyshev collocation method for nonlinear fractional differential equations. (English) Zbl 1452.65138
Fractional pseudospectral integration/differentiation matrix and fractional differential equations. (English) Zbl 1428.74225
Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method. (English) Zbl 1412.65055
Delay-dependent stability of symmetric Runge-Kutta methods for second order delay differential equations with three parameters. (English) Zbl 1365.65182
Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem. (English) Zbl 1419.34012
Towards essential improvement for the parareal-TR and parareal-Gauss4 algorithms. (English) Zbl 1346.65037
Chebyshev spectral collocation method for stochastic delay differential equations. (English) Zbl 1422.60109
Fractional Chebyshev finite difference method for solving the fractional-order delay BVPs. (English) Zbl 1359.65128
Converted methods of classic implicit Runge-Kutta methods. (Chinese. English summary) Zbl 1349.65231
One dimension fourth-order finite volume element method based on the Lobatto-Gauss constructure. (Chinese. English summary) Zbl 1349.65258
A four-stage fourth-order implicit Runge-Kutta method based on Legendre polynomials approximation. (Chinese. English summary) Zbl 1340.65141
Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems. (English. Russian original) Zbl 1325.65105
Comput. Math. Math. Phys. 55, No. 6, 983-1003 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 6, 986-1007 (2015).
Nested dyadic grids associated with Legendre-Gauss-Lobatto grids. (English) Zbl 1331.33014
Reviewer: József Sándor (Cluj-Napoca)
On the global error of special Runge-Kutta methods applied to linear differential algebraic equations. (English) Zbl 1325.65115
Choice of strategies for extrapolation with symmetrization in the constant stepsize setting. (English) Zbl 1302.65164
A spectral collocation method for a class of linear system singular boundary value problems. (Chinese. English summary) Zbl 1313.65201
Jacobian-predictor-corrector approach for fractional differential equations. (English) Zbl 1322.65079
Reviewer: Johannes Schropp (Konstanz)
Superconvergence of conforming finite element for fourth-order singularly perturbed problems of reaction diffusion type in 1D. (English) Zbl 1293.65106
Reviewer: Pavol Chocholatý (Bratislava)
An efficient spectral collocation algorithm for solving neutral functional-differential equations. (English) Zbl 1290.65055
A spectral collocation method for a class of linear singular boundary value problems. (Chinese. English summary) Zbl 1299.65171
On shifted Jacobi spectral approximations for solving fractional differential equations. (English) Zbl 1291.65207
Numerical solution of electrodynamic flow by using pseudo-spectral collocation method. (English) Zbl 1301.76080
Fractional Chebyshev finite difference method for solving the fractional BVPs. (English) Zbl 1269.65072
Reviewer: Răzvan Răducanu (Iaşi)
A shifted Legendre spectral method for fractional-order multi-point boundary value problems. (English) Zbl 1280.65074
A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals. (English) Zbl 1280.65079
On shifted Jacobi spectral method for high-order multi-point boundary value problems. (English) Zbl 1251.65112
Chebyshev finite difference method for solving constrained quadratic optimal control problems. (English) Zbl 1259.49051
A family of uniformly accurate order Lobatto-Runge-Kutta collocation methods. (English) Zbl 1252.65118
A quadrature tau method for fractional differential equations with variable coefficients. (English) Zbl 1269.65068
Linear stability of partitioned Runge-Kutta methods. (English) Zbl 1228.65124
Reviewer: Stamatis Koumandos (Nicosia)
A Jacobi dual-Petrov-Galerkin method for solving some odd-order ordinary differential equations. (English) Zbl 1216.65086
Analysis of a Chebyshev-based backward differentiation formulae and relation with Runge-Kutta collocation methods. (English) Zbl 1229.65115
Reviewer: Mahmoud Annaby (Doha)
A spectral collocation method for solving initial value problems of first order ordinary differential equations. (English) Zbl 1205.65225
Reviewer: Seenith Sivasundaram (Daytona Beach)
A note on classical Gauss-Radau and Gauss-Lobatto quadratures. (English) Zbl 1200.41035
Reviewer: Jesus Illán González (Vigo)
Exponential fitted Gauss, Radau and Lobatto methods of low order. (English) Zbl 1148.65059
Reviewer: Kai Diethelm (Braunschweig)
Characterizations and construction of Poisson/symplectic and symmetric multi-revolution implicit Runge-Kutta methods of high order. (English) Zbl 1149.65096
Reviewer: Manuel Calvo (Zaragoza)
Superconvergence of continuous finite elements with interpolated coefficients for initial value problems of nonlinear ordinary differential equation. (English) Zbl 1174.65451
Superconvergence of continuous finite elements with interpolated coefficients for initial value problems of nonlinear ordinary differential equation. (English) Zbl 1142.65389
The numerical solution of nonlinear two-point boundary value problems using iterated deferred correction – a survey. (English) Zbl 1132.65061
The derivation of interpolants for nonlinear two-point boundary value problems. (English) Zbl 1108.65081
Lobatto-Obrechkoff formulae for second order two-point boundary value problems. (English) Zbl 1108.65080
The stability of modified Runge-Kutta methods for the pantograph equation. (English) Zbl 1094.65075
Reviewer: Narahari Parhi (Bhubaneswar)
Specialized Runge-Kutta methods for index \( 2\) differential-algebraic equations. (English) Zbl 1096.65080
Reviewer: Roland Pulch (Wuppertal)
Starting algorithms for a class of RK methods for index-2 DAEs. (English) Zbl 1086.65085
Reviewer: Rudolf Scherer (Karlsruhe)
High-order difference schemes based on new Marchuk integral identities for one-dimensional interface problems. (English) Zbl 1071.65109
Reviewer: Manuel Calvo (Zaragoza)
Stability regions of one step mixed collocation methods for \(y''=f(x,y)\). (English) Zbl 1069.65092
Implicit Runge-Kutta methods based on Lobatto quadrature formula. (English) Zbl 1067.65069
Reviewer: Kai Diethelm (Braunschweig)
An implicit interpolation error-based error estimation strategy for \(hp\)-adaptivity in one space dimension. (English) Zbl 1059.65070
Reviewer: Pavol Chocholatý (Bratislava)
Symmetric collocation for unstructered nonlinear differential-algebraic equations of arbitrary index. (English) Zbl 1061.65075
Reviewer: Rudolf Scherer (Karlsruhe)
Applications of Lobatto polynomials to an adaptive finite element method: A posteriori error estimates for \(hp\)-adaptivity and grid-to-grid interpolation. (English) Zbl 1033.65067
Reviewer: Christian Grossmann (Dresden)
A stable numerical approach for implicit non-linear neutral delay differential equations. (English) Zbl 1030.65078
Reviewer: Neville Ford (Chester)
Solution of index 2 implicit differential-algebraic equations by Lobatto Runge-Kutta methods. (English) Zbl 1023.65085
Reviewer: Emil Minchev (Chiba)
A highly stable deferred correction scheme with interpolant for systems of nonlinear two-point boundary value problems. (English) Zbl 1019.65052
Iterative solution of SPARK methods applied to DAEs. (English) Zbl 1055.65100
Reviewer: Z. Jackiewicz (Tempe)
Multiple shooting using a dichotomically stable integrator for solving differential-algebraic equations. (English) Zbl 0999.65082
Symmetric collocation methods for linear differential-algebraic boundary value problems. (English) Zbl 1003.65093
Reviewer: Kevin Burrage (Brisbane)
Stability of the Radau IA and Lobatto IIIC methods for neutral delay differential system. (English) Zbl 1002.65086
Reviewer: R.S.Dahiya (Ames)
A parallelizable preconditioner for the iterative solution of implicit Runge-Kutta-type methods. (English) Zbl 0942.65077
Reviewer: T.C.Mohan (Madras)
Structure preservation for constrained dynamics with super partitioned additive Runge-Kutta methods. (English) Zbl 0923.65044
Reviewer: Werner M.Seiler (Mannheim)
Reversible long-term integration with variable stepsizes. (English) Zbl 0871.65075
Reviewer: E.Schechter (Kaiserslautern)
NP-stability of Runge-Kutta methods based on classical quadrature. (English) Zbl 0890.65088
Reviewer: M.Calvo (Zaragoza)
On the numerical solution of stiff IVPs by Lobatto IIIA Runge-Kutta methods. (English) Zbl 0886.65079
Numerical solution of differential-algebraic systems by one-step methods. (English) Zbl 0862.65043
Reviewer: M.Calvo (Zaragoza)
A priori estimates for some classes of difference schemes. (English) Zbl 0855.65057
Reviewer: S.Migorski (Krakow)
Iterated deferred correction for linear two-point boundary value problems. (English) Zbl 0848.65059
Reviewer: M.Calvo (Zaragoza)
Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems. (English) Zbl 0903.65066
Reviewer: J.C.Butcher (Auckland)
Superconvergence of the derivative patch recovery technique and a posteriori error estimation. (English) Zbl 0833.65119
Babuska, Ivo (ed.) et al., Modeling, mesh generation, and adaptive numerical methods for partial differential equations. Based on the proceedings of the 1993 IMA summer program held at IMA, University of Minnesota, Minneapolis, MN, USA. New York, NY: Springer-Verlag. IMA Vol. Math. Appl. 75, 431-450 (1995).
Solution of linear two-point boundary value problems via a collocation method and application to optimal control. (English) Zbl 0830.65080
Reviewer: P.Chocholatý (Bratislava)
Convergence of Runge-Kutta methods for differential-algebraic systems of index 3. (English) Zbl 0832.65078
Reviewer: J.C.Butcher (Auckland)
High-order finite element methods for singularly perturbed elliptic and parabolic problems. (English) Zbl 0827.65097
Reviewer: R.Anguelov (Welkom)
Construction of high order symplectic PRK methods. (English) Zbl 0818.65070
Reviewer: S.L.Campbell (Raleigh)
Symmetrizers for Lobatto IIIA methods. (English) Zbl 0824.65060
Reviewer: Th.Sonar (Göttingen)
Lobatto shape functions. (English) Zbl 0816.65041
Cerjan, C. (ed.), Numerical grid methods and their application to Schrödinger’s equation. Proceedings of the NATO advanced research workshop on grid methods in atomic and molecular quantum calculations held in Corte, Corsica, France, September 27-October 3, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 412, 57-68 (1993).
Construction of higher-order algebraic one-step schemes in stiff BVPs. (English) Zbl 0790.65060
Reviewer: M.M.Konstantinov (Sofia)
Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2. (English) Zbl 0773.65049
Reviewer: L.Jay
Strong contractivity properties of numerical methods for ordinary and delay differential equations. (English) Zbl 0749.65042
Reviewer: G.Hall (Manchester)
A modified Lobatto collocation for linear boundary value problems of differential-algebraic equations. (English) Zbl 0769.65056
Reviewer: C.Simerská (Praha)
A numerical approximation of boundary value problems of differential- algebraic equations. (English) Zbl 0742.65063
Reviewer: Y.Bai
An explicit fifth order method with five stages for the Cauchy differential problem. (Italian. English summary) Zbl 0757.65085
Reviewer: Z.Schneider (Bratislava)
Algebraische Stabilitätsbedingungen für Runge-Kutta-Verfahren. (Algebraic stability conditions for Runge-Kutta methods). (German) Zbl 0694.65040
Karlsruhe: Univ., Fak. f. Math., Diss. 79 S. (1990).
Reviewer: M.Müller
On symmetric Runge-Kutta methods of high order. (English) Zbl 0724.65074
Reviewer: E.Hairer (Genève)
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