Rodrigo, Marianito

Research Areas

0102 - APPLIED MATHEMATICS

Available as Research Supervisor

Selected Publications

Journal Article

Year	Title
2022	A Laplace transform approach to direct and inverse problems for multi-compartment models Published In European Journal of Applied Mathematics
2022	A general class of integral transforms and an expression for their convolution formulas Published In Integral Transforms and Special Functions
2022	A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation Published In Fractional Calculus and Applied Analysis
2022	An alternative way of defining integration in multivariable calculus Published In International Journal of Mathematical Education in Science and Technology
2022	Calibrating with a smile: A Mellin transform approach to volatility surface calibration Published In Econometrics and Statistics
2022	Jumping hedges on the strength of the Mellin transform Published In Results in Applied Mathematics
2022	LOTKA-VOLTERRA COMPETITION SYSTEM WITH STRONG ADVECTION RATES Published In Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
2022	Mathematical Models for Population Growth with Variable Carrying Capacity: Analytical Solutions Published In AppliedMath
2022	Pricing formulas for perpetual American options with general payoffs Published In IMA Journal of Management Mathematics
2022	Traveling Wave Solutions in a Model for Tumor Invasion with the Acid-Mediation Hypothesis Published In Journal of Dynamics and Differential Equations
2022	Unifying discrete and integral transforms through the use of a Banach algebra Published In Integral Transforms and Special Functions
2021	A stochastic harmonic oscillator temperature model for the valuation of weather derivatives Published In Mathematics
2021	A unified analytical approach to fixed and moving boundary problems for the heat equation Published In Mathematics
2021	An elementary method for obtaining general solutions to systems of ordinary differential equations Published In Electronic Journal of Differential Equations
2021	Analogues of the Laplace Transform and Z-Transform with Piecewise Linear Kernels Published In Foundations
2021	BOUNDS on the CRITICAL TIMES for the GENERAL FISHER-KPP EQUATION Published In ANZIAM Journal
2021	Bounds on the critical times for the Fisher-KPP equation Published In ANZIAM Journal
2021	Constructing c0-semigroups via picard iterations and generating functions: An application to a black–scholes integro-differential operator Published In Mathematics
2021	Modelling human carrying capacity as a function of food availability Published In ANZIAM Journal
2021	On a strongly continuous semigroup for a Black-Scholes integro-differential operator: European options under jump-diffusion dynamics Published In Applicable Analysis
2020	A Mellin transform approach to barrier option pricing Published In IMA Journal of Management Mathematics
2020	Bond pricing formulas for Markov-modulated affine term structure models Published In Journal of Industrial and Management Optimization
2020	MODELLING HUMAN CARRYING CAPACITY AS A FUNCTION of FOOD AVAILABILITY Published In ANZIAM Journal
2020	On a generalisation of the fundamental matrix and the solution of operator equations Published In International Journal of Applied Mathematics
2020	Pricing of Barrier Options on Underlying Assets with Jump-Diffusion Dynamics: A Mellin Transform Approach Published In Mathematics
2018	Pricing of general European options on discrete dividend-paying assets with jump-diffusion dynamics Published In Applied Mathematical Modelling: simulation and computation for engineering and environmental systems
2017	Alternative results for option pricing and implied volatility in jump-diffusion models using Mellin transforms Published In European Journal of Applied Mathematics
2016	A nonlinear least squares approach to time of death estimation via body cooling Published In Journal of Forensic Sciences
2016	Laplace and Z transforms of linear dynamical systems and conic sections Published In Zeitschrift fuer Angewandte Mathematik und Physik
2016	On fractional matrix exponentials and their explicit calculation Published In Journal of Differential Equations
2016	Solution of multilayer diffusion problems via the Laplace transform Published In Journal of Mathematical Analysis and Applications
2015	Model for acid-mediated tumour invasion with chemotherapy intervention II: spatially heterogeneous populations Published In Mathematical Biosciences
2015	Time of death estimation from temperature readings only: A Laplace transform approach Published In Applied Mathematics Letters
2014	A model for acid-mediated tumour growth with nonlinear acid production term Published In Applied Mathematics and Computation
2014	An alternative approach to the calibration of the Vasicek and CIR interest rate models via generating functions Published In Quantitative Finance
2014	Approximate ordinary differential equations for the optimal exercise boundaries of American put and call options Published In European Journal of Applied Mathematics
2014	Model for acid-mediated tumour invasion with chemotherapy intervention I: spatially homogeneous populations
2013	An integration-based method for estimating parameters in a system of differential equations Published In Applied Mathematics and Computation
2011	A unified approach to explicit bond price solutions under a time-dependent affine term structure modelling framework Published In Quantitative Finance
2011	Exact and approximate traveling waves of reaction-diffusion systems via a variational approach Published In Analysis and Applications
2009	Slow and fast invasion waves in a model of acid-mediated tumour growth Published In Mathematical Biosciences
2008	A new representation of the local volatility surface Published In International Journal of Theoretical and Applied Finance
2007	An application of Mellin transform techniques to a black–Scholes equation problem Published In Analysis and Applications
2007	Recovery of time-dependent parameters of a Black-Scholes-type equation: an inverse Stieltjes moment approach Published In Journal of Applied Mathematics
2007	Remarks on accessible steady states for some coagulation-fragmentation systems Published In Discrete and Continuous Dynamical Systems Series A
2007	Sobre la infinidad de los números primos: un enfoque topológico Published In Miscelánea Matemática
1999	Sporulation and sterilization method for axenic culture of Gelidium canariensis Published In Progress in Industrial Microbiology
1998	Influence of plant growth regulators, polyamines and glycerol interaction on growth and morphogenesis of carposporelings of Grateloupia cultured in vitro Published In Journal of Applied Phycology
1997	Stress tolerance of photosynthesis in sporelings of the red alga Grateloupia doryphora compared to that of stage III thalli Published In Marine Biology

Chapter

Year	Title
2012	Parameter estimation of a regime-switching model using an inverse stieltjes moment approach Published In Stochastic processes, finance and control : a festschrift in honor of Robert J. Elliott

Conference Paper

Year	Title
2019	Stochastic processes in a discrete model of ground combat Published In The 23rd International Congress on Modelling and Simulation (MODSIM2019)
2002	WAVE BLOCKING IN PARALLEL COUPLED NERVE FIBERS
1999	Sporulation and sterilization method for axenic culture of Gelidium canariensis Published In Journal of Biotechnology

Available as Research Supervisor

Potential Supervision Topics

Financial mathematics
Mathematical biology
Fractional calculus
Forensic medicine

Advisees

Graduate Advising Relationship

Degree	Research Title	Advisee
Doctor of Philosophy	Opening a Window on Diffusion - Mixed Boundary Simulations for Diatom Controlled Release
Doctor of Philosophy (Integrated)	Population models with variable carrying capacity	Zulkarnaen, Diny
Doctor of Philosophy	Analytical and Numerical Methods for the Multilayer Fractional Diffusion-Wave Equation	Davis, Ashlee
Doctor of Philosophy	Unifying deterministic and stochastic calculus via fractional-order differentials	Futcher, Tom

Orcid Id

http://orcid.org/0000-0003-1872-3904 (pending confirmation)

Research Areas

0102 - APPLIED MATHEMATICS

Selected Publications

Journal Article

Year	Title
2022	A Laplace transform approach to direct and inverse problems for multi-compartment models Published In European Journal of Applied Mathematics
2022	A general class of integral transforms and an expression for their convolution formulas Published In Integral Transforms and Special Functions
2022	A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation Published In Fractional Calculus and Applied Analysis
2022	An alternative way of defining integration in multivariable calculus Published In International Journal of Mathematical Education in Science and Technology
2022	Calibrating with a smile: A Mellin transform approach to volatility surface calibration Published In Econometrics and Statistics
2022	Jumping hedges on the strength of the Mellin transform Published In Results in Applied Mathematics
2022	LOTKA-VOLTERRA COMPETITION SYSTEM WITH STRONG ADVECTION RATES Published In Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
2022	Mathematical Models for Population Growth with Variable Carrying Capacity: Analytical Solutions Published In AppliedMath
2022	Pricing formulas for perpetual American options with general payoffs Published In IMA Journal of Management Mathematics
2022	Traveling Wave Solutions in a Model for Tumor Invasion with the Acid-Mediation Hypothesis Published In Journal of Dynamics and Differential Equations
2022	Unifying discrete and integral transforms through the use of a Banach algebra Published In Integral Transforms and Special Functions
2021	A stochastic harmonic oscillator temperature model for the valuation of weather derivatives Published In Mathematics
2021	A unified analytical approach to fixed and moving boundary problems for the heat equation Published In Mathematics
2021	An elementary method for obtaining general solutions to systems of ordinary differential equations Published In Electronic Journal of Differential Equations
2021	Analogues of the Laplace Transform and Z-Transform with Piecewise Linear Kernels Published In Foundations
2021	BOUNDS on the CRITICAL TIMES for the GENERAL FISHER-KPP EQUATION Published In ANZIAM Journal
2021	Bounds on the critical times for the Fisher-KPP equation Published In ANZIAM Journal
2021	Constructing c0-semigroups via picard iterations and generating functions: An application to a black–scholes integro-differential operator Published In Mathematics
2021	Modelling human carrying capacity as a function of food availability Published In ANZIAM Journal
2021	On a strongly continuous semigroup for a Black-Scholes integro-differential operator: European options under jump-diffusion dynamics Published In Applicable Analysis
2020	A Mellin transform approach to barrier option pricing Published In IMA Journal of Management Mathematics
2020	Bond pricing formulas for Markov-modulated affine term structure models Published In Journal of Industrial and Management Optimization
2020	MODELLING HUMAN CARRYING CAPACITY AS A FUNCTION of FOOD AVAILABILITY Published In ANZIAM Journal
2020	On a generalisation of the fundamental matrix and the solution of operator equations Published In International Journal of Applied Mathematics
2020	Pricing of Barrier Options on Underlying Assets with Jump-Diffusion Dynamics: A Mellin Transform Approach Published In Mathematics
2018	Pricing of general European options on discrete dividend-paying assets with jump-diffusion dynamics Published In Applied Mathematical Modelling: simulation and computation for engineering and environmental systems
2017	Alternative results for option pricing and implied volatility in jump-diffusion models using Mellin transforms Published In European Journal of Applied Mathematics
2016	A nonlinear least squares approach to time of death estimation via body cooling Published In Journal of Forensic Sciences
2016	Laplace and Z transforms of linear dynamical systems and conic sections Published In Zeitschrift fuer Angewandte Mathematik und Physik
2016	On fractional matrix exponentials and their explicit calculation Published In Journal of Differential Equations
2016	Solution of multilayer diffusion problems via the Laplace transform Published In Journal of Mathematical Analysis and Applications
2015	Model for acid-mediated tumour invasion with chemotherapy intervention II: spatially heterogeneous populations Published In Mathematical Biosciences
2015	Time of death estimation from temperature readings only: A Laplace transform approach Published In Applied Mathematics Letters
2014	A model for acid-mediated tumour growth with nonlinear acid production term Published In Applied Mathematics and Computation
2014	An alternative approach to the calibration of the Vasicek and CIR interest rate models via generating functions Published In Quantitative Finance
2014	Approximate ordinary differential equations for the optimal exercise boundaries of American put and call options Published In European Journal of Applied Mathematics
2014	Model for acid-mediated tumour invasion with chemotherapy intervention I: spatially homogeneous populations
2013	An integration-based method for estimating parameters in a system of differential equations Published In Applied Mathematics and Computation
2011	A unified approach to explicit bond price solutions under a time-dependent affine term structure modelling framework Published In Quantitative Finance
2011	Exact and approximate traveling waves of reaction-diffusion systems via a variational approach Published In Analysis and Applications
2009	Slow and fast invasion waves in a model of acid-mediated tumour growth Published In Mathematical Biosciences
2008	A new representation of the local volatility surface Published In International Journal of Theoretical and Applied Finance
2007	An application of Mellin transform techniques to a black–Scholes equation problem Published In Analysis and Applications
2007	Recovery of time-dependent parameters of a Black-Scholes-type equation: an inverse Stieltjes moment approach Published In Journal of Applied Mathematics
2007	Remarks on accessible steady states for some coagulation-fragmentation systems Published In Discrete and Continuous Dynamical Systems Series A
2007	Sobre la infinidad de los números primos: un enfoque topológico Published In Miscelánea Matemática
1999	Sporulation and sterilization method for axenic culture of Gelidium canariensis Published In Progress in Industrial Microbiology
1998	Influence of plant growth regulators, polyamines and glycerol interaction on growth and morphogenesis of carposporelings of Grateloupia cultured in vitro Published In Journal of Applied Phycology
1997	Stress tolerance of photosynthesis in sporelings of the red alga Grateloupia doryphora compared to that of stage III thalli Published In Marine Biology

Chapter

Year	Title
2012	Parameter estimation of a regime-switching model using an inverse stieltjes moment approach Published In Stochastic processes, finance and control : a festschrift in honor of Robert J. Elliott

Conference Paper

Year	Title
2019	Stochastic processes in a discrete model of ground combat Published In The 23rd International Congress on Modelling and Simulation (MODSIM2019)
2002	WAVE BLOCKING IN PARALLEL COUPLED NERVE FIBERS
1999	Sporulation and sterilization method for axenic culture of Gelidium canariensis Published In Journal of Biotechnology

Potential Supervision Topics

Financial mathematics
Mathematical biology
Fractional calculus
Forensic medicine

Advisees

Graduate Advising Relationship

Degree	Research Title	Advisee
Doctor of Philosophy	Opening a Window on Diffusion - Mixed Boundary Simulations for Diatom Controlled Release
Doctor of Philosophy (Integrated)	Population models with variable carrying capacity	Zulkarnaen, Diny
Doctor of Philosophy	Analytical and Numerical Methods for the Multilayer Fractional Diffusion-Wave Equation	Davis, Ashlee
Doctor of Philosophy	Unifying deterministic and stochastic calculus via fractional-order differentials	Futcher, Tom

Orcid Id

http://orcid.org/0000-0003-1872-3904 (pending confirmation)

Rodrigo, Marianito Dr.

Faculty Member

Overview

Research Areas

Available as Research Supervisor

Publications

Selected Publications

Journal Article

Chapter

Conference Paper

Supervision

Available as Research Supervisor

Potential Supervision Topics

Advisees

Graduate Advising Relationship

Identity

Orcid Id

Overview

Research Areas

Publications

Selected Publications

Journal Article

Chapter

Conference Paper

Supervision

Potential Supervision Topics

Advisees

Graduate Advising Relationship

Identity

Orcid Id

Visualisations

Research Areas