Acta Applicandae Mathematicae, ISSN 0167-8019, 6/2010, Volume 110, Issue 3, pp. 1331 - 1352

In the present paper we compare the two methodologies for the development of exponentially and trigonometrically fitted methods. One is based on the exact...

Trigonometric fitting | Theoretical, Mathematical and Computational Physics | Mathematics | Statistical Physics, Dynamical Systems and Complexity | Schrödinger equation | Hybrid methods | Numerical solution | Multistep methods | Mechanics | Mathematics, general | Computer Science, general | Exponential fitting | 02.60 | MATHEMATICS, APPLIED | HYBRID EXPLICIT METHODS | SYMPLECTIC METHODS | RUNGE-KUTTA METHODS | ALGEBRAIC ORDER METHODS | FAMILY | MINIMAL PHASE-LAG | NUMERICAL-SOLUTION | Schrodinger equation | OPTIMIZED GENERATOR | MULTIDERIVATIVE METHODS | SYMMETRIC MULTISTEP METHODS | Computer science | Methods | Universities and colleges | Studies | Numerical analysis | Differential equations

Trigonometric fitting | Theoretical, Mathematical and Computational Physics | Mathematics | Statistical Physics, Dynamical Systems and Complexity | Schrödinger equation | Hybrid methods | Numerical solution | Multistep methods | Mechanics | Mathematics, general | Computer Science, general | Exponential fitting | 02.60 | MATHEMATICS, APPLIED | HYBRID EXPLICIT METHODS | SYMPLECTIC METHODS | RUNGE-KUTTA METHODS | ALGEBRAIC ORDER METHODS | FAMILY | MINIMAL PHASE-LAG | NUMERICAL-SOLUTION | Schrodinger equation | OPTIMIZED GENERATOR | MULTIDERIVATIVE METHODS | SYMMETRIC MULTISTEP METHODS | Computer science | Methods | Universities and colleges | Studies | Numerical analysis | Differential equations

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 1/2013, Volume 51, Issue 1, pp. 194 - 226

In this paper we develop and study new high algebraic order multiderivative explicit four-step method with phase-lag and its first, second and third...

65L05 | Phase-fitted | Schrödinger equation | Multiderivative methods | Theoretical and Computational Chemistry | Interval of periodicity | Chemistry | P-stability | Physical Chemistry | Numerical solution | Multistep methods | Obrechkoff methods | Derivatives of the phase-lag | Phase-lag | Math. Applications in Chemistry | SYMPLECTIC METHODS | RUNGE-KUTTA METHODS | LONG-TIME INTEGRATION | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED FORMULAS | PREDICTOR-CORRECTOR METHODS | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | NUMEROV-TYPE METHOD | SYMMETRIC MULTISTEP METHODS | SPECIAL-ISSUE

65L05 | Phase-fitted | Schrödinger equation | Multiderivative methods | Theoretical and Computational Chemistry | Interval of periodicity | Chemistry | P-stability | Physical Chemistry | Numerical solution | Multistep methods | Obrechkoff methods | Derivatives of the phase-lag | Phase-lag | Math. Applications in Chemistry | SYMPLECTIC METHODS | RUNGE-KUTTA METHODS | LONG-TIME INTEGRATION | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED FORMULAS | PREDICTOR-CORRECTOR METHODS | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | NUMEROV-TYPE METHOD | SYMMETRIC MULTISTEP METHODS | SPECIAL-ISSUE

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 2/2015, Volume 53, Issue 2, pp. 685 - 717

A predictor–corrector explicit four-step method of sixth algebraic order is investigated in this paper. More specifically, we investigate the results of the...

65L05 | Theoretical and Computational Chemistry | Interval of periodicity | Chemistry | Physical Chemistry | Predictor–corrector methods | Derivatives of the phase-lag | Phase-lag | Phase-fitted | Math. Applications in Chemistry | Schrödinger equation | Predictor-corrector methods | SYMPLECTIC METHODS | RUNGE-KUTTA METHODS | HIGH-ORDER | LONG-TIME INTEGRATION | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED FORMULAS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | NUMEROV-TYPE METHOD | MULTIDERIVATIVE METHODS | NYSTROM METHOD | SYMMETRIC MULTISTEP METHODS | Numerical analysis | Research | Mathematical research

65L05 | Theoretical and Computational Chemistry | Interval of periodicity | Chemistry | Physical Chemistry | Predictor–corrector methods | Derivatives of the phase-lag | Phase-lag | Phase-fitted | Math. Applications in Chemistry | Schrödinger equation | Predictor-corrector methods | SYMPLECTIC METHODS | RUNGE-KUTTA METHODS | HIGH-ORDER | LONG-TIME INTEGRATION | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED FORMULAS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | NUMEROV-TYPE METHOD | MULTIDERIVATIVE METHODS | NYSTROM METHOD | SYMMETRIC MULTISTEP METHODS | Numerical analysis | Research | Mathematical research

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 1/2007, Volume 41, Issue 1, pp. 79 - 100

We have constructed three Runge–Kutta methods based on a classical method of Fehlberg with eight stages and sixth algebraic order. These methods have...

Theoretical and Computational Chemistry | Chemistry | Runge–Kutta | Exponential order | 0.260 | Physical Chemistry | Explicit methods | Math. Applications in Chemistry | Trigonometrical-fitting | Schrödinger equation | Exponential-fitting | Runge-Kutta | exponential-fitting | HYBRID EXPLICIT METHODS | CHEMISTRY, MULTIDISCIPLINARY | MINIMAL PHASE-LAG | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | trigonometrical-fitting | Schrodinger equation | MULTISTEP METHODS | INTEGRATION | OPTIMIZED GENERATOR | explicit methods | MULTIDERIVATIVE METHODS | exponential order | Evaluation | Usage | Numerical integration | Methods | Mathematical notation

Theoretical and Computational Chemistry | Chemistry | Runge–Kutta | Exponential order | 0.260 | Physical Chemistry | Explicit methods | Math. Applications in Chemistry | Trigonometrical-fitting | Schrödinger equation | Exponential-fitting | Runge-Kutta | exponential-fitting | HYBRID EXPLICIT METHODS | CHEMISTRY, MULTIDISCIPLINARY | MINIMAL PHASE-LAG | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | trigonometrical-fitting | Schrodinger equation | MULTISTEP METHODS | INTEGRATION | OPTIMIZED GENERATOR | explicit methods | MULTIDERIVATIVE METHODS | exponential order | Evaluation | Usage | Numerical integration | Methods | Mathematical notation

Journal Article

Numerical Algorithms, ISSN 1017-1398, 1/2018, Volume 77, Issue 1, pp. 95 - 109

In this paper, we introduce a class of new two-step multiderivative methods for the numerical solution of second-order initial value problems. We generate a...

Algorithms | Algebra | Numerical Analysis | Computer Science | Numeric Computing | Second-order IVPs | Ordinary differential equations | Theory of Computation | Initial value problems | Phase-lag | Multiderivative methods | Symmetric multistep methods | OBRECHKOFF METHODS | MATHEMATICS, APPLIED | RUNGE-KUTTA METHODS | SCHRODINGER-EQUATION | HIGH-EFFICIENT | FAMILY | MINIMAL PHASE-LAG | MULTISTEP METHODS | INTEGRATION | HIGH-ORDER METHOD | EXPLICIT | Methods | Differential equations

Algorithms | Algebra | Numerical Analysis | Computer Science | Numeric Computing | Second-order IVPs | Ordinary differential equations | Theory of Computation | Initial value problems | Phase-lag | Multiderivative methods | Symmetric multistep methods | OBRECHKOFF METHODS | MATHEMATICS, APPLIED | RUNGE-KUTTA METHODS | SCHRODINGER-EQUATION | HIGH-EFFICIENT | FAMILY | MINIMAL PHASE-LAG | MULTISTEP METHODS | INTEGRATION | HIGH-ORDER METHOD | EXPLICIT | Methods | Differential equations

Journal Article

Journal of Scientific Computing, ISSN 0885-7474, 9/2016, Volume 68, Issue 3, pp. 914 - 942

High order strong stability preserving (SSP) time discretizations are advantageous for use with spatial discretizations with nonlinear stability properties for...

Hyperbolic conservation laws | Computational Mathematics and Numerical Analysis | Algorithms | Weighted essentially non-oscillatory (WENO) methods | Runge–Kutta methods | Multistage multiderivative methods | Theoretical, Mathematical and Computational Physics | Strong stability preserving time stepping methods | Appl.Mathematics/Computational Methods of Engineering | Mathematics | Taylor series methods | MATHEMATICS, APPLIED | EFFICIENT IMPLEMENTATION | HIGH-ORDER | Runge-Kutta methods | Electrical engineering | Environmental law

Hyperbolic conservation laws | Computational Mathematics and Numerical Analysis | Algorithms | Weighted essentially non-oscillatory (WENO) methods | Runge–Kutta methods | Multistage multiderivative methods | Theoretical, Mathematical and Computational Physics | Strong stability preserving time stepping methods | Appl.Mathematics/Computational Methods of Engineering | Mathematics | Taylor series methods | MATHEMATICS, APPLIED | EFFICIENT IMPLEMENTATION | HIGH-ORDER | Runge-Kutta methods | Electrical engineering | Environmental law

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2005, Volume 175, Issue 1, pp. 161 - 172

Multiderivative methods with minimal phase-lag are introduced in this paper, for the numerical solution of the one-dimensional Schrödinger equation. The...

Stability | Phase-lag | Multiderivative methods | Dispersion

Stability | Phase-lag | Multiderivative methods | Dispersion

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 02/2013, Volume 65, Issue 3, pp. 487 - 499

For the time integration of semilinear systems of differential equations, a class of multiderivative exponential integrators is considered. The methods are...

Stability | Taylor series methods | Local linearization | Exponential integrators | Multiderivative methods | MATHEMATICS, APPLIED

Stability | Taylor series methods | Local linearization | Exponential integrators | Multiderivative methods | MATHEMATICS, APPLIED

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 1/2010, Volume 47, Issue 1, pp. 315 - 330

In this paper we present an optimized explicit Runge-Kutta method, which is based on a method of Fehlberg with six stages and fifth algebraic order and has...

Theoretical and Computational Chemistry | Chemistry | Physical Chemistry | Numerical solution | Initial value problems (IVPs) | Explicit methods | Runge-Kutta methods | Math. Applications in Chemistry | Schrödinger equation | GENERATOR | SYMPLECTIC METHODS | NUMEROV-TYPE METHODS | 8TH ALGEBRAIC ORDER | CHEMISTRY, MULTIDISCIPLINARY | FAMILY | PREDICTOR-CORRECTOR METHODS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | INTEGRATION | RADIAL SHRODINGER EQUATION | MULTIDERIVATIVE METHODS | EXPONENTIALLY-FITTED METHODS | Numerical analysis | Research | Mathematical optimization | Equations | Quantum theory

Theoretical and Computational Chemistry | Chemistry | Physical Chemistry | Numerical solution | Initial value problems (IVPs) | Explicit methods | Runge-Kutta methods | Math. Applications in Chemistry | Schrödinger equation | GENERATOR | SYMPLECTIC METHODS | NUMEROV-TYPE METHODS | 8TH ALGEBRAIC ORDER | CHEMISTRY, MULTIDISCIPLINARY | FAMILY | PREDICTOR-CORRECTOR METHODS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | INTEGRATION | RADIAL SHRODINGER EQUATION | MULTIDERIVATIVE METHODS | EXPONENTIALLY-FITTED METHODS | Numerical analysis | Research | Mathematical optimization | Equations | Quantum theory

Journal Article

SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2016, Volume 54, Issue 3, pp. 1635 - 1652

We present a new solver for nonlinear parabolic problems that is L-stable and achieves high order accuracy in space and time. The solver is built by first...

Alternating direction implicit methods | Method of lines transpose | ADI schemes | Boundary integral methods | Implicit methods | Transverse method of lines | Multiderivative | Rothe's method | Higher order L-stable | Parabolic PDEs | DIFFERENTIAL EQUATIONS | MATHEMATICS, APPLIED | alternating direction implicit methods | boundary integral methods | SPINODAL DECOMPOSITION | multiderivative | POTENTIALS | implicit methods | transverse method of lines | MODELS | FOURIER-SPECTRAL METHOD | parabolic PDEs | ALLEN-CAHN | method of lines transpose | WAVE-EQUATION | higher order L-stable

Alternating direction implicit methods | Method of lines transpose | ADI schemes | Boundary integral methods | Implicit methods | Transverse method of lines | Multiderivative | Rothe's method | Higher order L-stable | Parabolic PDEs | DIFFERENTIAL EQUATIONS | MATHEMATICS, APPLIED | alternating direction implicit methods | boundary integral methods | SPINODAL DECOMPOSITION | multiderivative | POTENTIALS | implicit methods | transverse method of lines | MODELS | FOURIER-SPECTRAL METHOD | parabolic PDEs | ALLEN-CAHN | method of lines transpose | WAVE-EQUATION | higher order L-stable

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 1/2017, Volume 55, Issue 1, pp. 223 - 237

A new family of exponentially fitted P-stable one-step linear methods involving several derivatives for the numerical integration of the Schrödinger equation...

Theoretical and Computational Chemistry | Chemistry | Error analysis | Physical Chemistry | Obrechkoff one-step method | Math. Applications in Chemistry | Schrödinger equation | Exponentially fitted method | RUNGE-KUTTA METHODS | CHEMISTRY, MULTIDISCIPLINARY | FAMILY | ORDER | VANISHED PHASE-LAG | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | INTEGRATION | NYSTROM METHODS | MULTIDERIVATIVE METHODS | ORDINARY DIFFERENTIAL-EQUATIONS | Usage | Resonance | Numerical integration | Error analysis (Mathematics) | Analysis

Theoretical and Computational Chemistry | Chemistry | Error analysis | Physical Chemistry | Obrechkoff one-step method | Math. Applications in Chemistry | Schrödinger equation | Exponentially fitted method | RUNGE-KUTTA METHODS | CHEMISTRY, MULTIDISCIPLINARY | FAMILY | ORDER | VANISHED PHASE-LAG | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | INTEGRATION | NYSTROM METHODS | MULTIDERIVATIVE METHODS | ORDINARY DIFFERENTIAL-EQUATIONS | Usage | Resonance | Numerical integration | Error analysis (Mathematics) | Analysis

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 3/2013, Volume 51, Issue 3, pp. 937 - 953

In this work a new modified embedded 5(4) pair of explicit Runge–Kutta methods is developed for the numerical solution of the Schrödinger equation. We...

Theoretical and Computational Chemistry | Chemistry | Error analysis | Physical Chemistry | Embedded Runge–Kutta methods | Math. Applications in Chemistry | Schrödinger equation | Embedded Runge-Kutta methods | FITTING BDF ALGORITHMS | 8TH ALGEBRAIC ORDER | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED METHODS | VANISHED PHASE-LAG | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | NUMEROV-TYPE METHOD | MULTISTEP METHODS | NYSTROM METHODS | MULTIDERIVATIVE METHODS | OSCILLATING SOLUTIONS | Resonance | Numerical analysis | Research | Scattering (Physics)

Theoretical and Computational Chemistry | Chemistry | Error analysis | Physical Chemistry | Embedded Runge–Kutta methods | Math. Applications in Chemistry | Schrödinger equation | Embedded Runge-Kutta methods | FITTING BDF ALGORITHMS | 8TH ALGEBRAIC ORDER | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED METHODS | VANISHED PHASE-LAG | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | NUMEROV-TYPE METHOD | MULTISTEP METHODS | NYSTROM METHODS | MULTIDERIVATIVE METHODS | OSCILLATING SOLUTIONS | Resonance | Numerical analysis | Research | Scattering (Physics)

Journal Article

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, ISSN 0278-0070, 09/2009, Volume 28, Issue 9, pp. 1359 - 1372

This paper describes a new A- and L-stable integration method for simulating the time-domain transient response of nonlinear circuits. The proposed method,...

stiff circuits | Transient response | multiderivative methods | Circuit simulation | Computational modeling | L -stability | numerical solution of differential equations (DEs) | Time domain analysis | A -stability | Nonlinear circuits | Stability analysis | Analytical models | high-order integration methods | Circuit stability | Transient analysis | Electronic circuits | Numerical solution of differential equations (DEs) | High-order integration methods | Stiff circuits | L-stability | Multiderivative methods | A-stability | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | circuit simulation | STEP | IMPLICIT | ENGINEERING, ELECTRICAL & ELECTRONIC | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NONLINEAR CIRCUITS | SYSTEMS | GENERAL LINEAR METHODS | FORMULAS | Problem solving | Usage | Numerical integration | Methods | Differential equations | Design engineering | Foundations | Computer simulation | Circuits | Mathematical analysis | Computer aided design

stiff circuits | Transient response | multiderivative methods | Circuit simulation | Computational modeling | L -stability | numerical solution of differential equations (DEs) | Time domain analysis | A -stability | Nonlinear circuits | Stability analysis | Analytical models | high-order integration methods | Circuit stability | Transient analysis | Electronic circuits | Numerical solution of differential equations (DEs) | High-order integration methods | Stiff circuits | L-stability | Multiderivative methods | A-stability | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | circuit simulation | STEP | IMPLICIT | ENGINEERING, ELECTRICAL & ELECTRONIC | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NONLINEAR CIRCUITS | SYSTEMS | GENERAL LINEAR METHODS | FORMULAS | Problem solving | Usage | Numerical integration | Methods | Differential equations | Design engineering | Foundations | Computer simulation | Circuits | Mathematical analysis | Computer aided design

Journal Article

Numerical Algorithms, ISSN 1017-1398, 2/2015, Volume 68, Issue 2, pp. 337 - 354

In this paper, we present the two-step trigonometrically fitted symmetric Obrechkoff methods with algebraic order of twelve. The method is based on the...

Numeric Computing | Oscillating solution | MSC 65l05 | Theory of Computation | Symmetric multistep methods | Algorithms | Algebra | Numerical Analysis | Computer Science | MSC 65l07 | Trigonometrically-fitting | 65l20 | Obrechkoff methods | Initial value problems | MATHEMATICS, APPLIED | MULTISTEP METHODS | INTEGRATION | P-STABLE METHODS | MULTIDERIVATIVE METHODS | SUPER-IMPLICIT METHODS | 1ST-ORDER | Orbitals | Construction | Numerical analysis | Stability | Mathematical models | Symmetry | Mathematics - Numerical Analysis

Numeric Computing | Oscillating solution | MSC 65l05 | Theory of Computation | Symmetric multistep methods | Algorithms | Algebra | Numerical Analysis | Computer Science | MSC 65l07 | Trigonometrically-fitting | 65l20 | Obrechkoff methods | Initial value problems | MATHEMATICS, APPLIED | MULTISTEP METHODS | INTEGRATION | P-STABLE METHODS | MULTIDERIVATIVE METHODS | SUPER-IMPLICIT METHODS | 1ST-ORDER | Orbitals | Construction | Numerical analysis | Stability | Mathematical models | Symmetry | Mathematics - Numerical Analysis

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 8/2008, Volume 44, Issue 2, pp. 447 - 466

In this article we present a singularly almost P-stable exponentially-fitted four-step method for the approximate solution of the one-dimensional Schrödinger...

Theoretical and Computational Chemistry | Trigonometric fitting | Chemistry | P-stability | Physical Chemistry | Numerical solution | Linear multistep methods | Exponential fitting | Math. Applications in Chemistry | Schrödinger equation | exponential fitting | HYBRID EXPLICIT METHODS | trigonometric fitting | SYMPLECTIC METHODS | RUNGE-KUTTA METHODS | linear multistep methods | ALGEBRAIC ORDER METHODS | CHEMISTRY, MULTIDISCIPLINARY | numerical solution | MINIMAL PHASE-LAG | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | INTEGRATION | OPTIMIZED GENERATOR | MULTIDERIVATIVE METHODS | SYMMETRIC MULTISTEP METHODS

Theoretical and Computational Chemistry | Trigonometric fitting | Chemistry | P-stability | Physical Chemistry | Numerical solution | Linear multistep methods | Exponential fitting | Math. Applications in Chemistry | Schrödinger equation | exponential fitting | HYBRID EXPLICIT METHODS | trigonometric fitting | SYMPLECTIC METHODS | RUNGE-KUTTA METHODS | linear multistep methods | ALGEBRAIC ORDER METHODS | CHEMISTRY, MULTIDISCIPLINARY | numerical solution | MINIMAL PHASE-LAG | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | INTEGRATION | OPTIMIZED GENERATOR | MULTIDERIVATIVE METHODS | SYMMETRIC MULTISTEP METHODS

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 07/2020, Volume 376, p. 125116

•Being implicit is not the essential condition to obtain important feature of P-stability in linear multistep methods.•The root of the characteristic...

Obrechkoff methods | P-stable methods | Explicit methods | Singularly P-stable methods | Phase-fitted methods | Symmetric multistep methods | MATHEMATICS, APPLIED | NUMEROV-TYPE METHODS | RADIAL SCHRODINGER-EQUATION | OPTIMIZED PHASE | VANISHED PHASE-LAG | FINITE-DIFFERENCE PAIR | ORDER INFINITY | MULTISTEP METHODS | MULTIDERIVATIVE METHODS | DERIVATIVES | FITTED METHOD

Obrechkoff methods | P-stable methods | Explicit methods | Singularly P-stable methods | Phase-fitted methods | Symmetric multistep methods | MATHEMATICS, APPLIED | NUMEROV-TYPE METHODS | RADIAL SCHRODINGER-EQUATION | OPTIMIZED PHASE | VANISHED PHASE-LAG | FINITE-DIFFERENCE PAIR | ORDER INFINITY | MULTISTEP METHODS | MULTIDERIVATIVE METHODS | DERIVATIVES | FITTED METHOD

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 8/2015, Volume 53, Issue 7, pp. 1495 - 1522

In this paper an eighth algebraic order predictor–corrector explicit four-step method is studied. The main scope of this paper is to study the consequences of...

65L05 | Explicit methods |

65L05 | Explicit methods |