Journal of Mathematical Chemistry, ISSN 0259-9791, 3/2014, Volume 52, Issue 3, pp. 917 - 947

The investigation of the impact of the vanishing of the phase-lag and its first and second derivatives on the efficiency of a four-step Runge–Kutta type method...

65L05 | Phase-fitted | Schrödinger equation | Theoretical and Computational Chemistry | Interval of periodicity | Chemistry | Hybrid methods | P-stability | Physical Chemistry | Multistep methods | Derivatives of the phase-lag | Runge–Kutta type methods | Phase-lag | Math. Applications in Chemistry | Runge-Kutta type methods | PREDICTOR-CORRECTOR METHOD | HYBRID EXPLICIT METHODS | SYMPLECTIC METHODS | HIGH-ORDER | INTERNATIONAL-CONFERENCE | LONG-TIME INTEGRATION | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED FORMULAS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | NUMEROV-TYPE METHOD | SYMMETRIC MULTISTEP METHODS | Numerical analysis | Research | Mathematical research

65L05 | Phase-fitted | Schrödinger equation | Theoretical and Computational Chemistry | Interval of periodicity | Chemistry | Hybrid methods | P-stability | Physical Chemistry | Multistep methods | Derivatives of the phase-lag | Runge–Kutta type methods | Phase-lag | Math. Applications in Chemistry | Runge-Kutta type methods | PREDICTOR-CORRECTOR METHOD | HYBRID EXPLICIT METHODS | SYMPLECTIC METHODS | HIGH-ORDER | INTERNATIONAL-CONFERENCE | LONG-TIME INTEGRATION | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED FORMULAS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | NUMEROV-TYPE METHOD | SYMMETRIC MULTISTEP METHODS | Numerical analysis | Research | Mathematical research

Journal Article

Applied Mathematics and Information Sciences, ISSN 1935-0090, 2013, Volume 7, Issue 2, pp. 433 - 437

In this paper, a new modified Runge-Kutta-Nystrom method of third algebraic order is developed. The new modified RKN method has phase-lag and amplification...

Oscillating solution | Initial value problems | Derivatives | Phase-fitted'8Amplification-fitted | Orbital problems | Runge-kutta-nyström methods | 2ND-ORDER IVPS | MATHEMATICS, APPLIED | initial value problems | oscillating solution | PHYSICS, MATHEMATICAL | Phase-fitted | RADIAL SCHRODINGER-EQUATION | Runge-Kutta-Nystrom methods | derivatives | TRIGONOMETRICALLY-FITTED METHODS | ORDER | Amplification-fitted | OSCILLATING SOLUTIONS

Oscillating solution | Initial value problems | Derivatives | Phase-fitted'8Amplification-fitted | Orbital problems | Runge-kutta-nyström methods | 2ND-ORDER IVPS | MATHEMATICS, APPLIED | initial value problems | oscillating solution | PHYSICS, MATHEMATICAL | Phase-fitted | RADIAL SCHRODINGER-EQUATION | Runge-Kutta-Nystrom methods | derivatives | TRIGONOMETRICALLY-FITTED METHODS | ORDER | Amplification-fitted | OSCILLATING SOLUTIONS

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 5/2015, Volume 53, Issue 5, pp. 1239 - 1256

A Runge–Kutta type (four stages) eighth algebraic order two-step method with phase-lag and its first, second, third and fourth derivatives equal to zero is...

65L05 | Theoretical and Computational Chemistry | Interval of periodicity | Chemistry | Physical Chemistry | Multistep methods | Derivatives of the phase-lag | Phase-lag | Phase-fitted | Math. Applications in Chemistry | Schrödinger equation | PREDICTOR-CORRECTOR METHOD | 2ND-ORDER IVPS | INITIAL-VALUE-PROBLEMS | CHEMISTRY, MULTIDISCIPLINARY | TRIGONOMETRICALLY-FITTED METHODS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | NYSTROM METHODS | EFFICIENT INTEGRATION | 4-STEP METHODS | OSCILLATING SOLUTIONS | FORMULAS | Analysis | Differential equations

65L05 | Theoretical and Computational Chemistry | Interval of periodicity | Chemistry | Physical Chemistry | Multistep methods | Derivatives of the phase-lag | Phase-lag | Phase-fitted | Math. Applications in Chemistry | Schrödinger equation | PREDICTOR-CORRECTOR METHOD | 2ND-ORDER IVPS | INITIAL-VALUE-PROBLEMS | CHEMISTRY, MULTIDISCIPLINARY | TRIGONOMETRICALLY-FITTED METHODS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | NYSTROM METHODS | EFFICIENT INTEGRATION | 4-STEP METHODS | OSCILLATING SOLUTIONS | FORMULAS | Analysis | Differential equations

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, 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 | Predictor–corrector methods | Phase-fitted | Schrödinger equation | Theoretical and Computational Chemistry | Interval of periodicity | Chemistry | P-stability | Physical Chemistry | Multistep methods | Derivatives of the phase-lag | Phase-lag | Math. Applications in Chemistry | Predictor-corrector methods | SYMPLECTIC METHODS | RUNGE-KUTTA METHODS | LONG-TIME INTEGRATION | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED FORMULAS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | NUMEROV-TYPE METHOD | MULTIDERIVATIVE METHODS | 4-STEP METHODS | NYSTROM METHOD | SYMMETRIC MULTISTEP METHODS

65L05 | Explicit methods | Predictor–corrector methods | Phase-fitted | Schrödinger equation | Theoretical and Computational Chemistry | Interval of periodicity | Chemistry | P-stability | Physical Chemistry | Multistep methods | Derivatives of the phase-lag | Phase-lag | Math. Applications in Chemistry | Predictor-corrector methods | SYMPLECTIC METHODS | RUNGE-KUTTA METHODS | LONG-TIME INTEGRATION | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED FORMULAS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | NUMEROV-TYPE METHOD | MULTIDERIVATIVE METHODS | 4-STEP METHODS | NYSTROM METHOD | SYMMETRIC MULTISTEP METHODS

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 62, Issue 10, pp. 3756 - 3774

Many simulation algorithms (chemical reaction systems, differential systems arising from the modelling of transient behaviour in the process industries etc.)...

Interval of periodicity | Hybrid methods | Derivatives of the phase-lag | Phase-lag | Numerical solution of the Schrödinger equation | Phase-fitted | MATHEMATICS, APPLIED | Numerical solution of the Schrodinger equation | INTEGRATION | INITIAL-VALUE-PROBLEMS | INTERPOLANTS | FITTED METHOD | Methods | Algorithms | Differential equations | Approximation | Computer simulation | Mathematical models | Runge-Kutta method | Schroedinger equation | Derivatives

Interval of periodicity | Hybrid methods | Derivatives of the phase-lag | Phase-lag | Numerical solution of the Schrödinger equation | Phase-fitted | MATHEMATICS, APPLIED | Numerical solution of the Schrodinger equation | INTEGRATION | INITIAL-VALUE-PROBLEMS | INTERPOLANTS | FITTED METHOD | Methods | Algorithms | Differential equations | Approximation | Computer simulation | Mathematical models | Runge-Kutta method | Schroedinger equation | Derivatives

Journal Article

Journal of Thermal Stresses, ISSN 0149-5739, 09/2017, Volume 40, Issue 9, pp. 1063 - 1078

The constitutive equations are given with a fractional Maxwell-Cattaneo heat conduction law using the Caputo fractional derivative and the fractional order...

uniqueness theorem | variational principle | reciprocity theorem | phase-lag Green-Naghdi theories | Caputo fractional derivatives | phase-lag Green–Naghdi theories | VARIATIONAL-PRINCIPLES | MAGNETO-THERMOELASTICITY | THERMO-VISCOELASTICITY | ORDER THEORY | 2-TEMPERATURE THEORY | FORMULATION | MICROPOLAR THERMOELASTICITY | MECHANICS | THERMODYNAMICS | HEAT-CONDUCTION | RECIPROCITY THEOREMS | Conductive heat transfer | Constitutive relationships | Reciprocity | Energy dissipation | Conduction heating | Uniqueness | Thermoelasticity | Clean energy | Constitutive equations

uniqueness theorem | variational principle | reciprocity theorem | phase-lag Green-Naghdi theories | Caputo fractional derivatives | phase-lag Green–Naghdi theories | VARIATIONAL-PRINCIPLES | MAGNETO-THERMOELASTICITY | THERMO-VISCOELASTICITY | ORDER THEORY | 2-TEMPERATURE THEORY | FORMULATION | MICROPOLAR THERMOELASTICITY | MECHANICS | THERMODYNAMICS | HEAT-CONDUCTION | RECIPROCITY THEOREMS | Conductive heat transfer | Constitutive relationships | Reciprocity | Energy dissipation | Conduction heating | Uniqueness | Thermoelasticity | Clean energy | Constitutive equations

Journal Article

Abstract and Applied Analysis, ISSN 1085-3375, 2013, Volume 2013, pp. 1 - 11

A new modified Runge-Kutta-Nystrom method of fourth algebraic order is developed. The new modified RKN method is based on the fitting of the coefficients, due...

MATHEMATICS | NUMERICAL-SOLUTION | RADIAL SCHRODINGER-EQUATION | Numerical analysis | Research | Mathematical research | Error analysis (Mathematics) | Studies | Accuracy | Models | Derivatives | Efficiency | Methods

MATHEMATICS | NUMERICAL-SOLUTION | RADIAL SCHRODINGER-EQUATION | Numerical analysis | Research | Mathematical research | Error analysis (Mathematics) | Studies | Accuracy | Models | Derivatives | Efficiency | Methods

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 2/2016, Volume 54, Issue 2, pp. 442 - 465

A two stage symmetric two-step method with vanished phase-lag and its first, second, third and fourth derivatives with low computational cost is developed in...

65L05 | Hybrid | Oscillating solution | Multistep | Schrödinger equation | Theoretical and Computational Chemistry | Chemistry | Physical Chemistry | Derivative of the phase-lag | Initial value problems | Phase-lag | Symmetric | Math. Applications in Chemistry | PREDICTOR-CORRECTOR METHOD | 2ND-ORDER IVPS | KUTTA-NYSTROM METHOD | HIGH-ORDER | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED FORMULAS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | MULTISTEP METHODS | EFFICIENT INTEGRATION | EXPLICIT 4-STEP METHOD | SYMPLECTIC INTEGRATORS | Analysis

65L05 | Hybrid | Oscillating solution | Multistep | Schrödinger equation | Theoretical and Computational Chemistry | Chemistry | Physical Chemistry | Derivative of the phase-lag | Initial value problems | Phase-lag | Symmetric | Math. Applications in Chemistry | PREDICTOR-CORRECTOR METHOD | 2ND-ORDER IVPS | KUTTA-NYSTROM METHOD | HIGH-ORDER | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED FORMULAS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | MULTISTEP METHODS | EFFICIENT INTEGRATION | EXPLICIT 4-STEP METHOD | SYMPLECTIC INTEGRATORS | Analysis

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 8/2018, Volume 56, Issue 7, pp. 1924 - 1934

Optimized explicit two-derivative Runge–Kutta methods with increased phase-lag and dissipation order for the numerical integration of the Schrödinger equation...

Theoretical and Computational Chemistry | Chemistry | Physical Chemistry | Dissipation | Two-derivative Runge–Kutta method | Phase-lag | Math. Applications in Chemistry | Schrödinger equation | INFINITY | NUMERICAL-SOLUTION | IVPS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | MULTISTEP METHODS | Two-derivative Runge-Kutta method | OSCILLATING SOLUTIONS | CHEMISTRY, MULTIDISCIPLINARY | Research | Mathematical research | Iterative methods (Mathematics)

Theoretical and Computational Chemistry | Chemistry | Physical Chemistry | Dissipation | Two-derivative Runge–Kutta method | Phase-lag | Math. Applications in Chemistry | Schrödinger equation | INFINITY | NUMERICAL-SOLUTION | IVPS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | MULTISTEP METHODS | Two-derivative Runge-Kutta method | OSCILLATING SOLUTIONS | CHEMISTRY, MULTIDISCIPLINARY | Research | Mathematical research | Iterative methods (Mathematics)

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 05/2016, Volume 54, Issue 5, pp. 1187 - 1211

In this paper a four stages symmetric two-step method with vanished phase-lag and its first derivative with high algebraic order is developed for the first...

Derivative of the phase-lag | Hybrid | Multistep | Phase-lag | Symmetric | Schrödinger equation | PREDICTOR-CORRECTOR METHOD | 3RD DERIVATIVES | KUTTA-NYSTROM METHOD | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED FORMULAS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | MULTISTEP METHODS | EFFICIENT INTEGRATION | P-STABLE METHOD | EXPLICIT 4-STEP METHOD | SYMPLECTIC INTEGRATORS | Analysis | Numerical integration

Derivative of the phase-lag | Hybrid | Multistep | Phase-lag | Symmetric | Schrödinger equation | PREDICTOR-CORRECTOR METHOD | 3RD DERIVATIVES | KUTTA-NYSTROM METHOD | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED FORMULAS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | MULTISTEP METHODS | EFFICIENT INTEGRATION | P-STABLE METHOD | EXPLICIT 4-STEP METHOD | SYMPLECTIC INTEGRATORS | Analysis | Numerical integration

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 9/2015, Volume 53, Issue 8, pp. 1808 - 1834

Based on an optimized explicit four-step method, a new hybrid high algebraic order four-step method is introduced in this paper. For this new hybrid method, we...

65L05 | Explicit methods | Predictor–corrector methods | Phase-fitted | Schrödinger equation | Theoretical and Computational Chemistry | Interval of periodicity | Chemistry | P-stability | Physical Chemistry | Multistep methods | Derivatives of the phase-lag | Phase-lag | Math. Applications in Chemistry | Predictor-corrector methods | PREDICTOR-CORRECTOR METHOD | 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 | SYMMETRIC MULTISTEP METHODS | Analysis | Numerical integration

65L05 | Explicit methods | Predictor–corrector methods | Phase-fitted | Schrödinger equation | Theoretical and Computational Chemistry | Interval of periodicity | Chemistry | P-stability | Physical Chemistry | Multistep methods | Derivatives of the phase-lag | Phase-lag | Math. Applications in Chemistry | Predictor-corrector methods | PREDICTOR-CORRECTOR METHOD | 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 | SYMMETRIC MULTISTEP METHODS | Analysis | Numerical integration

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 5/2019, Volume 57, Issue 5, pp. 1496 - 1507

Two new optimized three-derivative Runge–Kutta type methods with vanishing phase-lag and its first derivative for the numerical integration of Schrödinger...

Theoretical and Computational Chemistry | Chemistry | Error analysis | Physical Chemistry | Phase-lag error | Math. Applications in Chemistry | Schrödinger equation | Three-derivative Runge–Kutta methods | FOURIER COLLOCATION METHODS | CHEMISTRY, MULTIDISCIPLINARY | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | MULTISTEP METHODS | INTEGRATION | Three-derivative Runge-Kutta methods | HIGH-ORDER METHOD | EXPLICIT | RUNGE-KUTTA METHOD | Numerical analysis | Research | Mathematical research | Error analysis (Mathematics)

Theoretical and Computational Chemistry | Chemistry | Error analysis | Physical Chemistry | Phase-lag error | Math. Applications in Chemistry | Schrödinger equation | Three-derivative Runge–Kutta methods | FOURIER COLLOCATION METHODS | CHEMISTRY, MULTIDISCIPLINARY | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | MULTISTEP METHODS | INTEGRATION | Three-derivative Runge-Kutta methods | HIGH-ORDER METHOD | EXPLICIT | RUNGE-KUTTA METHOD | Numerical analysis | Research | Mathematical research | Error analysis (Mathematics)

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 10/2019, Volume 395, pp. 1 - 18

In this study, we focus on the mathematical model of hyperthermia treatment as one the most constructive and effective procedures. Considering the...

Semi-discrete method | Caputo type variable-order fractional derivative | Two-dimensional Legendre wavelets (2D LWs) | Variable-order fractional dual phase lag bioheat equation | DIFFERENCE-METHODS | APPROXIMATION | STABILITY | CALCULUS | TERM | PHYSICS, MATHEMATICAL | LEGENDRE WAVELETS | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | CONVERGENCE | DIFFUSION | Stability | Mathematical analysis | Two dimensional models | Wavelet analysis | Mathematical models | Phase lag | Hyperthermia

Semi-discrete method | Caputo type variable-order fractional derivative | Two-dimensional Legendre wavelets (2D LWs) | Variable-order fractional dual phase lag bioheat equation | DIFFERENCE-METHODS | APPROXIMATION | STABILITY | CALCULUS | TERM | PHYSICS, MATHEMATICAL | LEGENDRE WAVELETS | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | CONVERGENCE | DIFFUSION | Stability | Mathematical analysis | Two dimensional models | Wavelet analysis | Mathematical models | Phase lag | Hyperthermia

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 11/2015, Volume 53, Issue 10, pp. 2191 - 2213

A family of two stage low computational cost symmetric two-step methods with vanished phase-lag and its derivatives is developed in this paper. More...

65L05 | Hybrid | Oscillating solution | Multistep | Schrödinger equation | Theoretical and Computational Chemistry | Chemistry | Physical Chemistry | Derivative of the phase-lag | Initial value problems | Phase-lag | Symmetric | Math. Applications in Chemistry | PREDICTOR-CORRECTOR METHOD | 2ND-ORDER IVPS | KUTTA-NYSTROM METHOD | HIGH-ORDER | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED METHODS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | MULTISTEP METHODS | EFFICIENT INTEGRATION | 4-STEP METHODS | SCATTERING | Numerical analysis | Research | Mathematical research

65L05 | Hybrid | Oscillating solution | Multistep | Schrödinger equation | Theoretical and Computational Chemistry | Chemistry | Physical Chemistry | Derivative of the phase-lag | Initial value problems | Phase-lag | Symmetric | Math. Applications in Chemistry | PREDICTOR-CORRECTOR METHOD | 2ND-ORDER IVPS | KUTTA-NYSTROM METHOD | HIGH-ORDER | CHEMISTRY, MULTIDISCIPLINARY | INITIAL-VALUE PROBLEMS | TRIGONOMETRICALLY-FITTED METHODS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Schrodinger equation | MULTISTEP METHODS | EFFICIENT INTEGRATION | 4-STEP METHODS | SCATTERING | Numerical analysis | Research | Mathematical research

Journal Article